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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> 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<option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control 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value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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form-control" type="text" name="q" value="in:92922" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span> </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span> </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span> </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span> </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span> </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span> </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span> </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span> </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span> </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span> </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span> </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span> </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span> </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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<a href="/authors/meyrignac.jean-charles" title="Author Profile">Meyrignac, Jean-Charles</a></div> <h3 class="title"> <a href="/1026.11037"><strong>The smallest solutions to the Diophantine equation \(x^6+y^6=a^6+b^6+c^6+d^6+e^6\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1026.11037">Zbl 1026.11037</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 1051-1054 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7870">Le Maohua (Zhanjiang)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11Y50" title="Computer solution of Diophantine equations">11Y50</a> <a class="mono" href="/classification/?q=cc%3A11D72" title="Diophantine equations in many variables">11D72</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1026.11037" data-ciurl="/ci/01871633" data-biburl="/bibtex/01871633.bib" data-amsurl="/amsrefs/01871633.bib" data-xmlurl="/xml/01871633.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871633.pdf" title="Zbl 1026.11037 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01445-X" aria-label="DOI for “The smallest solutions to the Diophantine equation \(x^6+y^6=a^6+b^6+c^6+d^6+e^6\)”" title="10.1090/S0025-5718-02-01445-X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871632" value="1871632" aria-label="mark item Zbl 1052.11017"></div> <div class="author"><a href="/authors/?q=ai%3Aapplegate.david-l%7Capplegate.david-a" title="Author Profile">Applegate, David</a>; <a href="/authors/lagarias.jeffrey-c" title="Author Profile">Lagarias, Jeffrey C.</a></div> <h3 class="title"> <a href="/1052.11017"><strong>Lower bounds for the total stopping time of \(3x + 1\) iterates.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1052.11017">Zbl 1052.11017</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 1035-1049 (2003)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B83" title="Special sequences and polynomials">11B83</a> <a class="mono" href="/classification/?q=cc%3A11Y16" title="Number-theoretic algorithms; complexity">11Y16</a> <a class="mono" href="/classification/?q=cc%3A26A18" title="Iteration of real functions in one variable">26A18</a> <span class="mono" title="Relations of ergodic theory with number theory and harmonic analysis (MSC2010)">37A45</span> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1052.11017" data-ciurl="/ci/01871632" data-biburl="/bibtex/01871632.bib" data-amsurl="/amsrefs/01871632.bib" data-xmlurl="/xml/01871632.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871632.pdf" title="Zbl 1052.11017 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01425-4" aria-label="DOI for “Lower bounds for the total stopping time of \(3x + 1\) iterates”" title="10.1090/S0025-5718-02-01425-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0103054"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871631" value="1871631" aria-label="mark item Zbl 1092.11014"></div> <div class="author"><a href="/authors/blecksmith.richard" title="Author Profile">Blecksmith, Richard</a>; <a href="/authors/brillhart.john" title="Author Profile">Brillhart, John</a></div> <h3 class="title"> <a href="/1092.11014"><strong>Linear quintuple-product identities.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1092.11014">Zbl 1092.11014</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 1019-1033 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10868">Jeremy Lovejoy (Paris)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B65" title="Binomial coefficients; factorials; \(q\)-identities">11B65</a> <a class="mono" href="/classification/?q=cc%3A11F11" title="Holomorphic modular forms of integral weight">11F11</a> <a class="mono" href="/classification/?q=cc%3A33D15" title="Basic hypergeometric functions in one variable, \({}_r\phi_s\)">33D15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1092.11014" data-ciurl="/ci/01871631" data-biburl="/bibtex/01871631.bib" data-amsurl="/amsrefs/01871631.bib" data-xmlurl="/xml/01871631.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871631.pdf" title="Zbl 1092.11014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01461-8" aria-label="DOI for “Linear quintuple-product identities”" title="10.1090/S0025-5718-02-01461-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871630" value="1871630" aria-label="mark item Zbl 1071.11062"></div> <div class="author"><a href="/authors/chang.ku-young" title="Author Profile">Chang, Ku-Young</a>; <a href="/authors/kwon.soun-hi" title="Author Profile">Kwon, Soun-Hi</a></div> <h3 class="title"> <a href="/1071.11062"><strong>The class number one problem for some non-abelian normal CM-fields of degree 48.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1071.11062">Zbl 1071.11062</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 1003-1017 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10294">Ken Yamamura (Yokosuka)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11R29" title="Class numbers, class groups, discriminants">11R29</a> <a class="mono" href="/classification/?q=cc%3A11R21" title="Other number fields">11R21</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1071.11062" data-ciurl="/ci/01871630" data-biburl="/bibtex/01871630.bib" data-amsurl="/amsrefs/01871630.bib" data-xmlurl="/xml/01871630.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871630.pdf" title="Zbl 1071.11062 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01443-6" aria-label="DOI for “The class number one problem for some non-abelian normal CM-fields of degree 48”" title="10.1090/S0025-5718-02-01443-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871629" value="1871629" aria-label="mark item Zbl 1017.65047"></div> <div class="author"><a href="/authors/hoffman.jerome-william" title="Author Profile">Hoffman, J. William</a>; <a href="/authors/madden.james-j" title="Author Profile">Madden, James J.</a>; <a href="/authors/zhang.hong.23" title="Author Profile">Zhang, Hong</a></div> <h3 class="title"> <a href="/1017.65047"><strong>Pseudozeros of multivariate polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1017.65047">Zbl 1017.65047</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 975-1002 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9367">Matthew He (Ft.Lauderdale)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65H05" title="Numerical computation of solutions to single equations">65H05</a> <a class="mono" href="/classification/?q=cc%3A14P10" title="Semialgebraic sets and related spaces">14P10</a> <a class="mono" href="/classification/?q=cc%3A13P05" title="Polynomials, factorization in commutative rings">13P05</a> <span class="mono" title="Computational aspects of field theory and polynomials (MSC2010)">12Y05</span> <a class="mono" href="/classification/?q=cc%3A26C10" title="Real polynomials: location of zeros">26C10</a> <a class="mono" href="/classification/?q=cc%3A30C15" title="Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)">30C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1017.65047" data-ciurl="/ci/01871629" data-biburl="/bibtex/01871629.bib" data-amsurl="/amsrefs/01871629.bib" data-xmlurl="/xml/01871629.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871629.pdf" title="Zbl 1017.65047 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01429-1" aria-label="DOI for “Pseudozeros of multivariate polynomials”" title="10.1090/S0025-5718-02-01429-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871628" value="1871628" aria-label="mark item Zbl 1052.11074"></div> <div class="author"><a href="/authors/itoh.tsuyoshi" title="Author Profile">Itoh, Tsuyoshi</a></div> <h3 class="title"> <a href="/1052.11074"><strong>A computation of minimal polynomials of special values of Siegel modular functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1052.11074">Zbl 1052.11074</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 969-973 (2003)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11R27" title="Units and factorization">11R27</a> <a class="mono" href="/classification/?q=cc%3A11F46" title="Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms">11F46</a> <a class="mono" href="/classification/?q=cc%3A11G16" title="Elliptic and modular units">11G16</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1052.11074" data-ciurl="/ci/01871628" data-biburl="/bibtex/01871628.bib" data-amsurl="/amsrefs/01871628.bib" data-xmlurl="/xml/01871628.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871628.pdf" title="Zbl 1052.11074 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01430-8" aria-label="DOI for “A computation of minimal polynomials of special values of Siegel modular functions”" title="10.1090/S0025-5718-02-01430-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871627" value="1871627" aria-label="mark item Zbl 1099.11074"></div> <div class="author"><a href="/authors/joux.antoine" title="Author Profile">Joux, Antoine</a>; <a href="/authors/lercier.reynald" title="Author Profile">Lercier, Reynald</a></div> <h3 class="title"> <a href="/1099.11074"><strong>Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the Gaussian integer method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1099.11074">Zbl 1099.11074</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 953-967 (2003)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11Y16" title="Number-theoretic algorithms; complexity">11Y16</a> <a class="mono" href="/classification/?q=cc%3A11T71" title="Algebraic coding theory; cryptography (number-theoretic aspects)">11T71</a> <a class="mono" href="/classification/?q=cc%3A11Y40" title="Algebraic number theory computations">11Y40</a> <a class="mono" href="/classification/?q=cc%3A68Q25" title="Analysis of algorithms and problem complexity">68Q25</a> <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1099.11074" data-ciurl="/ci/01871627" data-biburl="/bibtex/01871627.bib" data-amsurl="/amsrefs/01871627.bib" data-xmlurl="/xml/01871627.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871627.pdf" title="Zbl 1099.11074 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01482-5" aria-label="DOI for “Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the Gaussian integer method”" title="10.1090/S0025-5718-02-01482-5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871626" value="1871626" aria-label="mark item Zbl 1081.11081"></div> <div class="author"><a href="/authors/cohen.henri" title="Author Profile">Cohen, Henri</a>; <a href="/authors/diaz-y-diaz.francisco" title="Author Profile">Diaz y Diaz, Francisco</a>; <a href="/authors/olivier.michel" title="Author Profile">Olivier, Michel</a></div> <h3 class="title"> <a href="/1081.11081"><strong>Constructing complete tables of quartic fields using Kummer theory.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1081.11081">Zbl 1081.11081</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 941-951 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10891">Alain S. Togbe (Westville)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11Y40" title="Algebraic number theory computations">11Y40</a> <a class="mono" href="/classification/?q=cc%3A11R16" title="Cubic and quartic extensions">11R16</a> <a class="mono" href="/classification/?q=cc%3A11R29" title="Class numbers, class groups, discriminants">11R29</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1081.11081" data-ciurl="/ci/01871626" data-biburl="/bibtex/01871626.bib" data-amsurl="/amsrefs/01871626.bib" data-xmlurl="/xml/01871626.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871626.pdf" title="Zbl 1081.11081 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01452-7" aria-label="DOI for “Constructing complete tables of quartic fields using Kummer theory”" title="10.1090/S0025-5718-02-01452-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871625" value="1871625" aria-label="mark item Zbl 1099.11001"></div> <div class="author"><a href="/authors/garcia.mariano" title="Author Profile">Garcia, Mariano</a></div> <h3 class="title"> <a href="/1099.11001"><strong>The first known type \((7,1)\) amicable pair.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1099.11001">Zbl 1099.11001</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 939-940 (2003)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A25" title="Arithmetic functions; related numbers; inversion formulas">11A25</a> <a class="mono" href="/classification/?q=cc%3A11Y70" title="Values of arithmetic functions; tables">11Y70</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1099.11001" data-ciurl="/ci/01871625" data-biburl="/bibtex/01871625.bib" data-amsurl="/amsrefs/01871625.bib" data-xmlurl="/xml/01871625.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871625.pdf" title="Zbl 1099.11001 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01450-3" aria-label="DOI for “The first known type \((7,1)\) amicable pair”" title="10.1090/S0025-5718-02-01450-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871624" value="1871624" aria-label="mark item Zbl 1052.11071"></div> <div class="author"><a href="/authors/schoof.rene" title="Author Profile">Schoof, René</a></div> <h3 class="title"> <a href="/1052.11071"><strong>Class numbers of real cyclotomic fields of prime conductor.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1052.11071">Zbl 1052.11071</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 913-937 (2003)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> <a class="mono" href="/classification/?q=cc%3A11Y40" title="Algebraic number theory computations">11Y40</a> <a class="mono" href="/classification/?q=cc%3A11R29" title="Class numbers, class groups, discriminants">11R29</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1052.11071" data-ciurl="/ci/01871624" data-biburl="/bibtex/01871624.bib" data-amsurl="/amsrefs/01871624.bib" data-xmlurl="/xml/01871624.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871624.pdf" title="Zbl 1052.11071 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01432-1" aria-label="DOI for “Class numbers of real cyclotomic fields of prime conductor”" title="10.1090/S0025-5718-02-01432-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871623" value="1871623" aria-label="mark item Zbl 1099.11037"></div> <div class="author"><a href="/authors/wu.qiang.3" title="Author Profile">Wu, Qiang</a></div> <h3 class="title"> <a href="/1099.11037"><strong>On the linear independence measure of logarithms of rational numbers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1099.11037">Zbl 1099.11037</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 901-911 (2003)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11J82" title="Measures of irrationality and of transcendence">11J82</a> <a class="mono" href="/classification/?q=cc%3A11J86" title="Linear forms in logarithms; Baker’s method">11J86</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1099.11037" data-ciurl="/ci/01871623" data-biburl="/bibtex/01871623.bib" data-amsurl="/amsrefs/01871623.bib" data-xmlurl="/xml/01871623.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871623.pdf" title="Zbl 1099.11037 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01442-4" aria-label="DOI for “On the linear independence measure of logarithms of rational numbers”" title="10.1090/S0025-5718-02-01442-4">DOI</a> </div> <div class="backlinks"> <span class="backlink">Backlinks:</span> <a class="btn btn-default btn-xs" type="button" href="https://mathoverflow.net/q/345810" title="Algorithm for comparing \(x + y \cdot \log(z)\) for \(x,y,z\) rational?">MO</a> <a class="btn btn-default btn-xs" type="button" href="https://mathoverflow.net/a/166091" title="Irrationality measure of log(2)/log(6)">MO</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871622" value="1871622" aria-label="mark item Zbl 1020.11070"></div> <div class="author"><a href="/authors/conrad.marc" title="Author Profile">Conrad, Marc</a>; <a href="/authors/replogle.daniel-r" title="Author Profile">Replogle, Daniel R.</a></div> <h3 class="title"> <a href="/1020.11070"><strong>Nontrivial Galois module structure of cyclotomic fields.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1020.11070">Zbl 1020.11070</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 891-899 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A8027">Cornelius Greither (Neubiberg)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11R33" title="Integral representations related to algebraic numbers; Galois module structure of rings of integers">11R33</a> <a class="mono" href="/classification/?q=cc%3A11R27" title="Units and factorization">11R27</a> <a class="mono" href="/classification/?q=cc%3A11R29" title="Class numbers, class groups, discriminants">11R29</a> <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1020.11070" data-ciurl="/ci/01871622" data-biburl="/bibtex/01871622.bib" data-amsurl="/amsrefs/01871622.bib" data-xmlurl="/xml/01871622.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871622.pdf" title="Zbl 1020.11070 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01457-6" aria-label="DOI for “Nontrivial Galois module structure of cyclotomic fields”" title="10.1090/S0025-5718-02-01457-6">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0201322"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871621" value="1871621" aria-label="mark item Zbl 1068.11076"></div> <div class="author"><a href="/authors/kogiso.takeyoshi" title="Author Profile">Kogiso, Takeyoshi</a>; <a href="/authors/miyabe.go" title="Author Profile">Miyabe, Go</a>; <a href="/authors/kobayashi.miyuki" title="Author Profile">Kobayashi, Miyuki</a>; <a href="/authors/kimura.tatsuo" title="Author Profile">Kimura, Tatsuo</a></div> <h3 class="title"> <a href="/1068.11076"><strong>Relative invariants of some 2-simple prehomogeneous vector spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1068.11076">Zbl 1068.11076</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 865-889 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9457">Hiroshi Hosokawa (Yokohama)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11S90" title="Prehomogeneous vector spaces">11S90</a> <a class="mono" href="/classification/?q=cc%3A11S05" title="Polynomials">11S05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1068.11076" data-ciurl="/ci/01871621" data-biburl="/bibtex/01871621.bib" data-amsurl="/amsrefs/01871621.bib" data-xmlurl="/xml/01871621.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871621.pdf" title="Zbl 1068.11076 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01470-9" aria-label="DOI for “Relative invariants of some 2-simple prehomogeneous vector spaces”" title="10.1090/S0025-5718-02-01470-9">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871620" value="1871620" aria-label="mark item Zbl 1099.11035"></div> <div class="author"><a href="/authors/king.oliver-davis" title="Author Profile">King, Oliver D.</a></div> <h3 class="title"> <a href="/1099.11035"><strong>A mass formula for unimodular lattices with no roots.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1099.11035">Zbl 1099.11035</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 839-863 (2003)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11H55" title="Quadratic forms (reduction theory, extreme forms, etc.)">11H55</a> <a class="mono" href="/classification/?q=cc%3A11E41" title="Class numbers of quadratic and Hermitian forms">11E41</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1099.11035" data-ciurl="/ci/01871620" data-biburl="/bibtex/01871620.bib" data-amsurl="/amsrefs/01871620.bib" data-xmlurl="/xml/01871620.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871620.pdf" title="Zbl 1099.11035 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01455-2" aria-label="DOI for “A mass formula for unimodular lattices with no roots”" title="10.1090/S0025-5718-02-01455-2">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0012231"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871619" value="1871619" aria-label="mark item Zbl 1025.65010"></div> <div class="author"><a href="/authors/wang.xiaoqun" title="Author Profile">Wang, Xiaoqun</a></div> <h3 class="title"> <a href="/1025.65010"><strong>Strong tractability of multivariate integration using quasi-Monte Carlo algorithms.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1025.65010">Zbl 1025.65010</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 823-838 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A6824">Guanglu Gong (Beijing)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65C05" title="Monte Carlo methods">65C05</a> <a class="mono" href="/classification/?q=cc%3A11K45" title="Pseudo-random numbers; Monte Carlo methods">11K45</a> <a class="mono" href="/classification/?q=cc%3A68Q25" title="Analysis of algorithms and problem complexity">68Q25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1025.65010" data-ciurl="/ci/01871619" data-biburl="/bibtex/01871619.bib" data-amsurl="/amsrefs/01871619.bib" data-xmlurl="/xml/01871619.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871619.pdf" title="Zbl 1025.65010 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01440-0" aria-label="DOI for “Strong tractability of multivariate integration using quasi-Monte Carlo algorithms”" title="10.1090/S0025-5718-02-01440-0">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871618" value="1871618" aria-label="mark item Zbl 1052.12006"></div> <div class="author"><a href="/authors/gao.shuhong" title="Author Profile">Gao, Shuhong</a></div> <h3 class="title"> <a href="/1052.12006"><strong>Factoring multivariate polynomials via partial differential equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1052.12006">Zbl 1052.12006</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 801-822 (2003)</a>. </div><div class="classification"> MSC: <span class="mono" title="Computational aspects of field theory and polynomials (MSC2010)">12Y05</span> <a class="mono" href="/classification/?q=cc%3A68W30" title="Symbolic computation and algebraic computation">68W30</a> <a class="mono" href="/classification/?q=cc%3A11Y16" title="Number-theoretic algorithms; complexity">11Y16</a> <a class="mono" href="/classification/?q=cc%3A12D05" title="Polynomials in real and complex fields: factorization">12D05</a> <a class="mono" href="/classification/?q=cc%3A13P05" title="Polynomials, factorization in commutative rings">13P05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1052.12006" data-ciurl="/ci/01871618" data-biburl="/bibtex/01871618.bib" data-amsurl="/amsrefs/01871618.bib" data-xmlurl="/xml/01871618.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871618.pdf" title="Zbl 1052.12006 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01428-X" aria-label="DOI for “Factoring multivariate polynomials via partial differential equations”" title="10.1090/S0025-5718-02-01428-X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871617" value="1871617" aria-label="mark item Zbl 1023.11008"></div> <div class="author"><a href="/authors/borwein.peter-benjamin" title="Author Profile">Borwein, Peter</a>; <a href="/authors/mossinghoff.michael-j" title="Author Profile">Mossinghoff, Michael J.</a></div> <h3 class="title"> <a href="/1023.11008"><strong>Newman polynomials with prescribed vanishing and integer sets with distinct subset sums.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1023.11008">Zbl 1023.11008</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 787-800 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A8217">Maurice Mignotte (Strasbourg)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11C08" title="Polynomials in number theory">11C08</a> <a class="mono" href="/classification/?q=cc%3A11B75" title="Other combinatorial number theory">11B75</a> <a class="mono" href="/classification/?q=cc%3A11P99" title="Additive number theory; partitions">11P99</a> <a class="mono" href="/classification/?q=cc%3A05D99" title="Extremal combinatorics">05D99</a> <a class="mono" href="/classification/?q=cc%3A11Y55" title="Calculation of integer sequences">11Y55</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1023.11008" data-ciurl="/ci/01871617" data-biburl="/bibtex/01871617.bib" data-amsurl="/amsrefs/01871617.bib" data-xmlurl="/xml/01871617.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871617.pdf" title="Zbl 1023.11008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01460-6" aria-label="DOI for “Newman polynomials with prescribed vanishing and integer sets with distinct subset sums”" title="10.1090/S0025-5718-02-01460-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871616" value="1871616" aria-label="mark item Zbl 1013.41009"></div> <div class="author"><a href="/authors/sugihara.masaaki" title="Author Profile">Sugihara, Masaaki</a></div> <h3 class="title"> <a href="/1013.41009"><strong>Near optimality of the sinc approximation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1013.41009">Zbl 1013.41009</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 767-786 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1736">N.M.Temme (Amsterdam)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A41A30" title="Approximation by other special function classes">41A30</a> <a class="mono" href="/classification/?q=cc%3A41A25" title="Rate of convergence, degree of approximation">41A25</a> <a class="mono" href="/classification/?q=cc%3A65D15" title="Algorithms for approximation of functions">65D15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1013.41009" data-ciurl="/ci/01871616" data-biburl="/bibtex/01871616.bib" data-amsurl="/amsrefs/01871616.bib" data-xmlurl="/xml/01871616.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871616.pdf" title="Zbl 1013.41009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01451-5" aria-label="DOI for “Near optimality of the sinc approximation”" title="10.1090/S0025-5718-02-01451-5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871615" value="1871615" aria-label="mark item Zbl 1025.65030"></div> <div class="author"><a href="/authors/dian.jianwei" title="Author Profile">Dian, Jianwei</a>; <a href="/authors/kearfott.baker" title="Author Profile">Kearfott, R. Baker</a></div> <h3 class="title"> <a href="/1025.65030"><strong>Existence verification for singular and nonsmooth zeros of real nonlinear systems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1025.65030">Zbl 1025.65030</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 757-766 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3025">Eugene L.Allgower (Fort Collins)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65H10" title="Numerical computation of solutions to systems of equations">65H10</a> <a class="mono" href="/classification/?q=cc%3A65G40" title="General methods in interval analysis">65G40</a> <a class="mono" href="/classification/?q=cc%3A65L10" title="Numerical solution of boundary value problems involving ordinary differential equations">65L10</a> <a class="mono" href="/classification/?q=cc%3A65G20" title="Algorithms with automatic result verification">65G20</a> <a class="mono" href="/classification/?q=cc%3A34B15" title="Nonlinear boundary value problems for ordinary differential equations">34B15</a> <a class="mono" href="/classification/?q=cc%3A65L12" title="Finite difference and finite volume methods for ordinary differential equations">65L12</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1025.65030" data-ciurl="/ci/01871615" data-biburl="/bibtex/01871615.bib" data-amsurl="/amsrefs/01871615.bib" data-xmlurl="/xml/01871615.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871615.pdf" title="Zbl 1025.65030 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01427-8" aria-label="DOI for “Existence verification for singular and nonsmooth zeros of real nonlinear systems”" title="10.1090/S0025-5718-02-01427-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871614" value="1871614" aria-label="mark item Zbl 1019.65104"></div> <div class="author"><a href="/authors/kang.sheon-young" title="Author Profile">Kang, Sheon-Young</a>; <a href="/authors/koltracht.israel" title="Author Profile">Koltracht, Israel</a>; <a href="/authors/rawitscher.george-h" title="Author Profile">Rawitscher, George</a></div> <h3 class="title"> <a href="/1019.65104"><strong>Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1019.65104">Zbl 1019.65104</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 729-756 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A6847">Hu Chuangan (Tianjin)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65R20" title="Numerical methods for integral equations">65R20</a> <a class="mono" href="/classification/?q=cc%3A45B05" title="Fredholm integral equations">45B05</a> <a class="mono" href="/classification/?q=cc%3A45J05" title="Integro-ordinary differential equations">45J05</a> <a class="mono" href="/classification/?q=cc%3A81U10" title="\(n\)-body potential quantum scattering theory">81U10</a> <a class="mono" href="/classification/?q=cc%3A81Q05" title="Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics">81Q05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1019.65104" data-ciurl="/ci/01871614" data-biburl="/bibtex/01871614.bib" data-amsurl="/amsrefs/01871614.bib" data-xmlurl="/xml/01871614.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871614.pdf" title="Zbl 1019.65104 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01431-X" aria-label="DOI for “Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels”" title="10.1090/S0025-5718-02-01431-X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871613" value="1871613" aria-label="mark item Zbl 1047.15008"></div> <div class="author"><a href="/authors/li.rencang" title="Author Profile">Li, Ren-Cang</a></div> <h3 class="title"> <a href="/1047.15008"><strong>On perturbations of matrix pencils with real spectra, a revisit.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1047.15008">Zbl 1047.15008</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 715-728 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10219">Aurelian Gheondea (Bucureşti)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A22" title="Matrix pencils">15A22</a> <a class="mono" href="/classification/?q=cc%3A15A42" title="Inequalities involving eigenvalues and eigenvectors">15A42</a> <a class="mono" href="/classification/?q=cc%3A15A21" title="Canonical forms, reductions, classification">15A21</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1047.15008" data-ciurl="/ci/01871613" data-biburl="/bibtex/01871613.bib" data-amsurl="/amsrefs/01871613.bib" data-xmlurl="/xml/01871613.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871613.pdf" title="Zbl 1047.15008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01449-7" aria-label="DOI for “On perturbations of matrix pencils with real spectra, a revisit”" title="10.1090/S0025-5718-02-01449-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871612" value="1871612" aria-label="mark item Zbl 1019.15016"></div> <div class="author"><a href="/authors/spijker.marc-n" title="Author Profile">Spijker, M. N.</a>; <a href="/authors/tracogna.s" title="Author Profile">Tracogna, S.</a>; <a href="/authors/welfert.bruno-d" title="Author Profile">Welfert, B. D.</a></div> <h3 class="title"> <a href="/1019.15016"><strong>About the sharpness of the stability estimates in the Kreiss matrix theorem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1019.15016">Zbl 1019.15016</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 697-713 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A8135">Alexey Alimov (Moskva)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A15A60" title="Norms of matrices, numerical range, applications of functional analysis to matrix theory">15A60</a> <a class="mono" href="/classification/?q=cc%3A47A30" title="Norms (inequalities, more than one norm, etc.) of linear operators">47A30</a> <a class="mono" href="/classification/?q=cc%3A15A09" title="Theory of matrix inversion and generalized inverses">15A09</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A15A45" title="Miscellaneous inequalities involving matrices">15A45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1019.15016" data-ciurl="/ci/01871612" data-biburl="/bibtex/01871612.bib" data-amsurl="/amsrefs/01871612.bib" data-xmlurl="/xml/01871612.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871612.pdf" title="Zbl 1019.15016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01472-2" aria-label="DOI for “About the sharpness of the stability estimates in the Kreiss matrix theorem”" title="10.1090/S0025-5718-02-01472-2">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871611" value="1871611" aria-label="mark item Zbl 1014.65128"></div> <div class="author"><a href="/authors/floater.michael-s" title="Author Profile">Floater, Michael S.</a></div> <h3 class="title"> <a href="/1014.65128"><strong>One-to-one piecewise linear mappings over triangulations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1014.65128">Zbl 1014.65128</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 685-696 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3165">Dietrich Braess (Bochum)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N50" title="Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs">65N50</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> <a class="mono" href="/classification/?q=cc%3A65M50" title="Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs">65M50</a> <a class="mono" href="/classification/?q=cc%3A58E20" title="Harmonic maps, etc.">58E20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1014.65128" data-ciurl="/ci/01871611" data-biburl="/bibtex/01871611.bib" data-amsurl="/amsrefs/01871611.bib" data-xmlurl="/xml/01871611.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871611.pdf" title="Zbl 1014.65128 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01466-7" aria-label="DOI for “One-to-one piecewise linear mappings over triangulations”" title="10.1090/S0025-5718-02-01466-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871610" value="1871610" aria-label="mark item Zbl 1018.65051"></div> <div class="author"><a href="/authors/sleijpen.gerard-l-g" title="Author Profile">Sleijpen, Gerard L. G.</a>; <a href="/authors/van-den-eshof.jasper" title="Author Profile">van den Eshof, Jasper</a>; <a href="/authors/smit.paul" title="Author Profile">Smit, Paul</a></div> <h3 class="title"> <a href="/1018.65051"><strong>Optimal a priori error bounds for the Rayleigh-Ritz method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1018.65051">Zbl 1018.65051</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 677-684 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A922">E.Kreyszig (Ottawa)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65F15" title="Numerical computation of eigenvalues and eigenvectors of matrices">65F15</a> <a class="mono" href="/classification/?q=cc%3A65F50" title="Computational methods for sparse matrices">65F50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1018.65051" data-ciurl="/ci/01871610" data-biburl="/bibtex/01871610.bib" data-amsurl="/amsrefs/01871610.bib" data-xmlurl="/xml/01871610.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871610.pdf" title="Zbl 1018.65051 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01435-7" aria-label="DOI for “Optimal a priori error bounds for the Rayleigh-Ritz method”" title="10.1090/S0025-5718-02-01435-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871609" value="1871609" aria-label="mark item Zbl 1010.74003"></div> <div class="author"><a href="/authors/lin.ping" title="Author Profile">Lin, Ping</a></div> <h3 class="title"> <a href="/1010.74003"><strong>Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1010.74003">Zbl 1010.74003</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 657-675 (2003)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A74A15" title="Thermodynamics in solid mechanics">74A15</a> <a class="mono" href="/classification/?q=cc%3A82B21" title="Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics">82B21</a> <a class="mono" href="/classification/?q=cc%3A74S05" title="Finite element methods applied to problems in solid mechanics">74S05</a> <span class="mono" title="Computational methods (statistical mechanics) (MSC2010)">82-08</span> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1010.74003" data-ciurl="/ci/01871609" data-biburl="/bibtex/01871609.bib" data-amsurl="/amsrefs/01871609.bib" data-xmlurl="/xml/01871609.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871609.pdf" title="Zbl 1010.74003 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01456-4" aria-label="DOI for “Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model”" title="10.1090/S0025-5718-02-01456-4">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871608" value="1871608" aria-label="mark item Zbl 1019.65070"></div> <div class="author"><a href="/authors/mathew.tarek-p-a" title="Author Profile">Mathew, T. P.</a>; <a href="/authors/russo.giovanni" title="Author Profile">Russo, G.</a></div> <h3 class="title"> <a href="/1019.65070"><strong>Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1019.65070">Zbl 1019.65070</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 619-656 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7089">Laura-Iulia Aniţa (Iaşi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> <a class="mono" href="/classification/?q=cc%3A65M06" title="Finite difference methods for initial value and initial-boundary value problems involving PDEs">65M06</a> <a class="mono" href="/classification/?q=cc%3A35K57" title="Reaction-diffusion equations">35K57</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1019.65070" data-ciurl="/ci/01871608" data-biburl="/bibtex/01871608.bib" data-amsurl="/amsrefs/01871608.bib" data-xmlurl="/xml/01871608.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871608.pdf" title="Zbl 1019.65070 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01462-X" aria-label="DOI for “Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids”" title="10.1090/S0025-5718-02-01462-X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871607" value="1871607" aria-label="mark item Zbl 1019.65088"></div> <div class="author"><a href="/authors/matsuzawa.yuki" title="Author Profile">Matsuzawa, Yuki</a>; <a href="/authors/suzuki.takashi" title="Author Profile">Suzuki, Takashi</a>; <a href="/authors/tsuchiya.takuya" title="Author Profile">Tsuchiya, Takuya</a></div> <h3 class="title"> <a href="/1019.65088"><strong>Finite element approximation of \(H\)-surfaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1019.65088">Zbl 1019.65088</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 607-617 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9588">Dinh Nho Hao (Brussel)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A35J65" title="Nonlinear boundary value problems for linear elliptic equations">35J65</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1019.65088" data-ciurl="/ci/01871607" data-biburl="/bibtex/01871607.bib" data-amsurl="/amsrefs/01871607.bib" data-xmlurl="/xml/01871607.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871607.pdf" title="Zbl 1019.65088 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01447-3" aria-label="DOI for “Finite element approximation of \(H\)-surfaces”" title="10.1090/S0025-5718-02-01447-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871606" value="1871606" aria-label="mark item Zbl 1015.65049"></div> <div class="author"><a href="/authors/cockburn.bernardo" title="Author Profile">Cockburn, Bernardo</a>; <a href="/authors/luskin.mitchell" title="Author Profile">Luskin, Mitchell</a>; <a href="/authors/shu.chi-wang" title="Author Profile">Shu, Chi-Wang</a>; <a href="/authors/suli.endre-e" title="Author Profile">Süli, Endre</a></div> <h3 class="title"> <a href="/1015.65049"><strong>Enhanced accuracy by post-processing for finite element methods for hyperbolic equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1015.65049">Zbl 1015.65049</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 577-606 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9555">Leonid B.Chubarov (Novosibirsk)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> <a class="mono" href="/classification/?q=cc%3A35L65" title="Hyperbolic conservation laws">35L65</a> <a class="mono" href="/classification/?q=cc%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> <a class="mono" href="/classification/?q=cc%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1015.65049" data-ciurl="/ci/01871606" data-biburl="/bibtex/01871606.bib" data-amsurl="/amsrefs/01871606.bib" data-xmlurl="/xml/01871606.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871606.pdf" title="Zbl 1015.65049 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01464-3" aria-label="DOI for “Enhanced accuracy by post-processing for finite element methods for hyperbolic equations”" title="10.1090/S0025-5718-02-01464-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871605" value="1871605" aria-label="mark item Zbl 1017.65088"></div> <div class="author"><a href="/authors/chen.zhiming" title="Author Profile">Chen, Zhiming</a>; <a href="/authors/hou.thomas-yizhao" title="Author Profile">Hou, Thomas Y.</a></div> <h3 class="title"> <a href="/1017.65088"><strong>A mixed multiscale finite element method for elliptic problems with oscillating coefficients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1017.65088">Zbl 1017.65088</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 541-576 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A5453">Michel Bernadou (Paris La Defense)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35B27" title="Homogenization in context of PDEs; PDEs in media with periodic structure">35B27</a> <a class="mono" href="/classification/?q=cc%3A35J25" title="Boundary value problems for second-order elliptic equations">35J25</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A76M10" title="Finite element methods applied to problems in fluid mechanics">76M10</a> <a class="mono" href="/classification/?q=cc%3A76M50" title="Homogenization applied to problems in fluid mechanics">76M50</a> <a class="mono" href="/classification/?q=cc%3A76S05" title="Flows in porous media; filtration; seepage">76S05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1017.65088" data-ciurl="/ci/01871605" data-biburl="/bibtex/01871605.bib" data-amsurl="/amsrefs/01871605.bib" data-xmlurl="/xml/01871605.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01871605.pdf" title="Zbl 1017.65088 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-02-01441-2" aria-label="DOI for “A mixed multiscale finite element method for elliptic problems with oscillating coefficients”" title="10.1090/S0025-5718-02-01441-2">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1871604" value="1871604" aria-label="mark item Zbl 1015.65068"></div> <div class="author"><a href="/authors/chou.so-hsiang" title="Author Profile">Chou, So-Hsiang</a>; <a href="/authors/kwak.do-young" title="Author Profile">Kwak, Do Y.</a>; <a href="/authors/kim.kwang-yeon" title="Author Profile">Kim, Kwang Y.</a></div> <h3 class="title"> <a href="/1015.65068"><strong>Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1015.65068">Zbl 1015.65068</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A92922" title="Articles in this Issue">72, No. 242, 525-539 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9555">Leonid B.Chubarov (Novosibirsk)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <span class="mono" title="Systems of elliptic equations, boundary value problems (MSC2000)">35J55</span> <a class="mono" href="/classification/?q=cc%3A76M12" title="Finite volume methods applied to problems in fluid mechanics">76M12</a> <a class="mono" href="/classification/?q=cc%3A76S05" title="Flows in porous media; filtration; seepage">76S05</a> </div> <!-- Modal used to show zbmath metadata in different output 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