Document Search Results

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class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon 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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 multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" 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> </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:524797" 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/ou.caixia" title="Author Profile">Ou, Caixia</a>; <a href="/authors/wang.zhibo" title="Author Profile">Wang, Zhibo</a>; <a href="/authors/vong.seakweng" title="Author Profile">Vong, Seakweng</a></div> <h3 class="title"> <a href="/7996414"><strong>An order reduction method for the nonlinear Caputo-Hadamard fractional diffusion-wave model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996414">Zbl 07996414</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 392-408 (2025)</a>. </div><div class="classification"> MSC:  <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%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%3A35R11" title="Fractional partial differential equations">35R11</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996414" data-ciurl="/ci/07996414" data-biburl="/bibtex/07996414.bib" data-amsurl="/amsrefs/07996414.bib" data-xmlurl="/xml/07996414.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996414.pdf" title="Zbl 07996414 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/10.1007/s42967-023-00295-5" aria-label="DOI for “An order reduction method for the nonlinear Caputo-Hadamard fractional diffusion-wave model”" title="10.1007/s42967-023-00295-5">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="item7996413" value="7996413" aria-label="mark item Zbl 07996413"></div> <div class="author"><a href="/authors/bakhvalov.pavel-a" title="Author Profile">Bakhvalov, Pavel</a>; <a href="/authors/surnachev.mikail-dmitrievich" title="Author Profile">Surnachev, Mikhail</a></div> <h3 class="title"> <a href="/7996413"><strong>On the order of accuracy of edge-based schemes: a Peterson-type counter-example.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996413">Zbl 07996413</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 372-391 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65M08" title="Finite volume methods for initial value and initial-boundary value problems involving PDEs">65M08</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%3A65M15" title="Error bounds for initial value and initial-boundary value problems involving PDEs">65M15</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996413" data-ciurl="/ci/07996413" data-biburl="/bibtex/07996413.bib" data-amsurl="/amsrefs/07996413.bib" data-xmlurl="/xml/07996413.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996413.pdf" title="Zbl 07996413 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/10.1007/s42967-023-00292-8" aria-label="DOI for “On the order of accuracy of edge-based schemes: a Peterson-type counter-example”" title="10.1007/s42967-023-00292-8">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="item7996412" value="7996412" aria-label="mark item Zbl 07996412"></div> <div class="author"><a href="/authors/law.yann-meing" title="Author Profile">Law, Yann-Meing</a>; <a href="/authors/appelo.daniel" title="Author Profile">Appelö, Daniel</a></div> <h3 class="title"> <a href="/7996412"><strong>The Hermite-Taylor correction function method for Maxwell’s equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996412">Zbl 07996412</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 347-371 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q61" title="Maxwell equations">35Q61</a> <a class="mono" href="/classification/?q=cc%3A65M70" title="Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs">65M70</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996412" data-ciurl="/ci/07996412" data-biburl="/bibtex/07996412.bib" data-amsurl="/amsrefs/07996412.bib" data-xmlurl="/xml/07996412.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996412.pdf" title="Zbl 07996412 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/10.1007/s42967-023-00287-5" aria-label="DOI for “The Hermite-Taylor correction function method for Maxwell's equations”" title="10.1007/s42967-023-00287-5">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2210.07134"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="item7996411" value="7996411" aria-label="mark item Zbl 07996411"></div> <div class="author"><a href="/authors/?q=ai%3Aliu.ren.1%7Cliu.ren.3" title="Author Profile">Liu, Ren</a>; <a href="/authors/wu.lifei" title="Author Profile">Wu, Lifei</a></div> <h3 class="title"> <a href="/7996411"><strong>Numerical approach for solving two-dimensional time-fractional Fisher equation via HABC-N method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996411">Zbl 07996411</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 315-346 (2025)</a>. </div><div class="classification"> MSC:  <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%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%3A65Y05" title="Parallel numerical computation">65Y05</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996411" data-ciurl="/ci/07996411" data-biburl="/bibtex/07996411.bib" data-amsurl="/amsrefs/07996411.bib" data-xmlurl="/xml/07996411.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996411.pdf" title="Zbl 07996411 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/10.1007/s42967-023-00282-w" aria-label="DOI for “Numerical approach for solving two-dimensional time-fractional Fisher equation via HABC-N method”" title="10.1007/s42967-023-00282-w">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="item7996410" value="7996410" aria-label="mark item Zbl 07996410"></div> <div class="author"><a href="/authors/camilli.fabio" title="Author Profile">Camilli, Fabio</a>; <a href="/authors/festa.adriano" title="Author Profile">Festa, Adriano</a></div> <h3 class="title"> <a href="/7996410"><strong>A system of Hamilton-Jacobi equations characterizing geodesic centroidal tessellations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996410">Zbl 07996410</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 289-314 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65K10" title="Numerical optimization and variational techniques">65K10</a> <a class="mono" href="/classification/?q=cc%3A49M05" title="Numerical methods based on necessary conditions">49M05</a> <a class="mono" href="/classification/?q=cc%3A65D99" title="Numerical approximation and computational geometry (primarily algorithms)">65D99</a> <a class="mono" href="/classification/?q=cc%3A35F21" title="Hamilton-Jacobi equations">35F21</a> <a class="mono" href="/classification/?q=cc%3A49N70" title="Differential games and control">49N70</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996410" data-ciurl="/ci/07996410" data-biburl="/bibtex/07996410.bib" data-amsurl="/amsrefs/07996410.bib" data-xmlurl="/xml/07996410.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996410.pdf" title="Zbl 07996410 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/10.1007/s42967-023-00276-8" aria-label="DOI for “A system of Hamilton-Jacobi equations characterizing geodesic centroidal tessellations”" title="10.1007/s42967-023-00276-8">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2106.10663"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7996409" value="7996409" aria-label="mark item Zbl 07996409"></div> <div class="author"><a href="/authors/cao.min" title="Author Profile">Cao, Min</a>; <a href="/authors/?q=ai%3Ali.yuan.8%7Cli.yuan.16%7Cli.yuan.4%7Cli.yuan.3%7Cli.yuan.12%7Cli.yuan%7Cli.yuan.2%7Cli.yuan.14%7Cli.yuan.1%7Cli.yuan.9%7Cli.yuan.10%7Cli.yuan.13%7Cli.yuan.15%7Cli.yuan.11%7Cli.yuan.7" title="Author Profile">Li, Yuan</a></div> <h3 class="title"> <a href="/7996409"><strong>Optimal error analysis of linearized Crank-Nicolson finite element scheme for the time-dependent penetrative convection problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996409">Zbl 07996409</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 264-288 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35Q30" title="Navier-Stokes equations">35Q30</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%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996409" data-ciurl="/ci/07996409" data-biburl="/bibtex/07996409.bib" data-amsurl="/amsrefs/07996409.bib" data-xmlurl="/xml/07996409.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996409.pdf" title="Zbl 07996409 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/10.1007/s42967-023-00269-7" aria-label="DOI for “Optimal error analysis of linearized Crank-Nicolson finite element scheme for the time-dependent penetrative convection problem”" title="10.1007/s42967-023-00269-7">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="item7996408" value="7996408" aria-label="mark item Zbl 07996408"></div> <div class="author"><a href="/authors/mau.jarrod" title="Author Profile">Mau, Jarrod</a>; <a href="/authors/?q=ai%3Azhao.jia%7Czhao.jia.1" title="Author Profile">Zhao, Jia</a></div> <h3 class="title"> <a href="/7996408"><strong>Discovery of governing equations with recursive deep neural networks.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996408">Zbl 07996408</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 239-263 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A92B20" title="Neural networks for/in biological studies, artificial life and related topics">92B20</a> <a class="mono" href="/classification/?q=cc%3A37M99" title="Approximation methods and numerical treatment of dynamical systems">37M99</a> <a class="mono" href="/classification/?q=cc%3A37N30" title="Dynamical systems in numerical analysis">37N30</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996408" data-ciurl="/ci/07996408" data-biburl="/bibtex/07996408.bib" data-amsurl="/amsrefs/07996408.bib" data-xmlurl="/xml/07996408.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996408.pdf" title="Zbl 07996408 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/10.1007/s42967-023-00270-0" aria-label="DOI for “Discovery of governing equations with recursive deep neural networks”" title="10.1007/s42967-023-00270-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2009.11500"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="item7996407" value="7996407" aria-label="mark item Zbl 07996407"></div> <div class="author"><a href="/authors/qi.liqun" title="Author Profile">Qi, Liqun</a></div> <h3 class="title"> <a href="/7996407"><strong>Motion, dual quaternion optimization and motion optimization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996407">Zbl 07996407</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 228-238 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A11R52" title="Quaternion and other division algebras: arithmetic, zeta functions">11R52</a> <a class="mono" href="/classification/?q=cc%3A16H05" title="Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)">16H05</a> <a class="mono" href="/classification/?q=cc%3A90C30" title="Nonlinear programming">90C30</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996407" data-ciurl="/ci/07996407" data-biburl="/bibtex/07996407.bib" data-amsurl="/amsrefs/07996407.bib" data-xmlurl="/xml/07996407.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996407.pdf" title="Zbl 07996407 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/10.1007/s42967-023-00262-0" aria-label="DOI for “Motion, dual quaternion optimization and motion optimization”" title="10.1007/s42967-023-00262-0">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="item7996406" value="7996406" aria-label="mark item Zbl 07996406"></div> <div class="author"><a href="/authors/?q=ai%3Awang.zhen.7%7Cwang.zhen.20%7Cwang.zhen.5%7Cwang.zhen.10%7Cwang.zhen.22%7Cwang.zhen.2%7Cwang.zhen.1%7Cwang.zhen.12%7Cwang.zhen.14%7Cwang.zhen.3%7Cwang.zhen.27%7Cwang.zhen%7Cwang.zhen.17%7Cwang.zhen.23%7Cwang.zhen.26%7Cwang.zhen.13%7Cwang.zhen.8%7Cwang.zhen.21%7Cwang.zhen.9" title="Author Profile">Wang, Zhen</a></div> <h3 class="title"> <a href="/7996406"><strong>L1/LDG method for Caputo-Hadamard time fractional diffusion equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996406">Zbl 07996406</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 203-227 (2025)</a>. </div><div class="classification"> MSC:  <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%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%3A65M60" title="Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs">65M60</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996406" data-ciurl="/ci/07996406" data-biburl="/bibtex/07996406.bib" data-amsurl="/amsrefs/07996406.bib" data-xmlurl="/xml/07996406.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996406.pdf" title="Zbl 07996406 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/10.1007/s42967-023-00257-x" aria-label="DOI for “L1/LDG method for Caputo-Hadamard time fractional diffusion equation”" title="10.1007/s42967-023-00257-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="item7996405" value="7996405" aria-label="mark item Zbl 07996405"></div> <div class="author"><a href="/authors/wang.hongxing" title="Author Profile">Wang, Hongxing</a>; <a href="/authors/huang.pei" title="Author Profile">Huang, Pei</a></div> <h3 class="title"> <a href="/7996405"><strong>Characterizations and properties of dual matrix star orders.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996405">Zbl 07996405</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 179-202 (2025)</a>. </div><div class="classification"> MSC:  <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%3A15A66" title="Clifford algebras, spinors">15A66</a> <a class="mono" href="/classification/?q=cc%3A06A06" title="Partial orders, general">06A06</a> <a class="mono" href="/classification/?q=cc%3A15A24" title="Matrix equations and identities">15A24</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996405" data-ciurl="/ci/07996405" data-biburl="/bibtex/07996405.bib" data-amsurl="/amsrefs/07996405.bib" data-xmlurl="/xml/07996405.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996405.pdf" title="Zbl 07996405 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/10.1007/s42967-023-00255-z" aria-label="DOI for “Characterizations and properties of dual matrix star orders”" title="10.1007/s42967-023-00255-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2211.07156"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7996404" value="7996404" aria-label="mark item Zbl 07996404"></div> <div class="author"><a href="/authors/macca.emanuele" title="Author Profile">Macca, Emanuele</a>; <a href="/authors/boscarino.sebastiano" title="Author Profile">Boscarino, Sebastiano</a></div> <h3 class="title"> <a href="/7996404"><strong>Semi-implicit-type order-adaptive CAT2 schemes for systems of balance laws with relaxed source term.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996404">Zbl 07996404</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 151-178 (2025)</a>. </div><div class="classification"> MSC:  <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%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%3A65G99" title="Error analysis and interval analysis">65G99</a> <a class="mono" href="/classification/?q=cc%3A65L04" title="Numerical methods for stiff equations">65L04</a> <a class="mono" href="/classification/?q=cc%3A35L02" title="First-order hyperbolic equations">35L02</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996404" data-ciurl="/ci/07996404" data-biburl="/bibtex/07996404.bib" data-amsurl="/amsrefs/07996404.bib" data-xmlurl="/xml/07996404.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996404.pdf" title="Zbl 07996404 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/10.1007/s42967-024-00414-w" aria-label="DOI for “Semi-implicit-type order-adaptive CAT2 schemes for systems of balance laws with relaxed source term”" title="10.1007/s42967-024-00414-w">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2309.13954"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7996403" value="7996403" aria-label="mark item Zbl 07996403"></div> <div class="author"><a href="/authors/tan.meiqi" title="Author Profile">Tan, Meiqi</a>; <a href="/authors/cheng.juan" title="Author Profile">Cheng, Juan</a>; <a href="/authors/shu.chi-wang" title="Author Profile">Shu, Chi-Wang</a></div> <h3 class="title"> <a href="/7996403"><strong>The high-order variable-coefficient explicit-implicit-null method for diffusion and dispersion equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996403">Zbl 07996403</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 115-150 (2025)</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%3A65M12" title="Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs">65M12</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996403" data-ciurl="/ci/07996403" data-biburl="/bibtex/07996403.bib" data-amsurl="/amsrefs/07996403.bib" data-xmlurl="/xml/07996403.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996403.pdf" title="Zbl 07996403 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/10.1007/s42967-023-00359-6" aria-label="DOI for “The high-order variable-coefficient explicit-implicit-null method for diffusion and dispersion equations”" title="10.1007/s42967-023-00359-6">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="item7996402" value="7996402" aria-label="mark item Zbl 07996402"></div> <div class="author"><a href="/authors/spiteri.raymond-j" title="Author Profile">Spiteri, Raymond J.</a>; <a href="/authors/tavassoli.arash" title="Author Profile">Tavassoli, Arash</a>; <a href="/authors/wei.siqi" title="Author Profile">Wei, Siqi</a>; <a href="/authors/smolyakov.andrei" title="Author Profile">Smolyakov, Andrei</a></div> <h3 class="title"> <a href="/7996402"><strong>Beyond strang: a practical assessment of some second-order 3-splitting methods.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996402">Zbl 07996402</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 95-114 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65L20" title="Stability and convergence of numerical methods for ordinary differential equations">65L20</a> <a class="mono" href="/classification/?q=cc%3A65M20" title="Method of lines for initial value and initial-boundary value problems involving PDEs">65M20</a> <a class="mono" href="/classification/?q=cc%3A65M25" title="Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs">65M25</a> <a class="mono" href="/classification/?q=cc%3A65Y20" title="Complexity and performance of numerical algorithms">65Y20</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996402" data-ciurl="/ci/07996402" data-biburl="/bibtex/07996402.bib" data-amsurl="/amsrefs/07996402.bib" data-xmlurl="/xml/07996402.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996402.pdf" title="Zbl 07996402 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/10.1007/s42967-023-00314-5" aria-label="DOI for “Beyond strang: a practical assessment of some second-order 3-splitting methods”" title="10.1007/s42967-023-00314-5">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2302.08034"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="item7996401" value="7996401" aria-label="mark item Zbl 07996401"></div> <div class="author"><a href="/authors/astuto.clarissa" title="Author Profile">Astuto, Clarissa</a>; <a href="/authors/boffi.daniele" title="Author Profile">Boffi, Daniele</a>; <a href="/authors/haskovec.jan" title="Author Profile">Haskovec, Jan</a>; <a href="/authors/markowich.peter-alexander" title="Author Profile">Markowich, Peter</a>; <a href="/authors/russo.giovanni" title="Author Profile">Russo, Giovanni</a></div> <h3 class="title"> <a href="/7996401"><strong>Asymmetry and condition number of an elliptic-parabolic system for biological network formation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996401">Zbl 07996401</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 78-94 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A35J99" title="Elliptic equations and elliptic systems">35J99</a> <a class="mono" href="/classification/?q=cc%3A35K55" title="Nonlinear parabolic equations">35K55</a> <a class="mono" href="/classification/?q=cc%3A35K57" title="Reaction-diffusion equations">35K57</a> <a class="mono" href="/classification/?q=cc%3A65-06" title="Proceedings, conferences, collections, etc. pertaining to numerical analysis">65-06</a> <a class="mono" href="/classification/?q=cc%3A65J15" title="Numerical solutions to equations with nonlinear operators">65J15</a> <a class="mono" href="/classification/?q=cc%3A76Z99" title="Biological fluid mechanics">76Z99</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996401" data-ciurl="/ci/07996401" data-biburl="/bibtex/07996401.bib" data-amsurl="/amsrefs/07996401.bib" data-xmlurl="/xml/07996401.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996401.pdf" title="Zbl 07996401 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/10.1007/s42967-023-00297-3" aria-label="DOI for “Asymmetry and condition number of an elliptic-parabolic system for biological network formation”" title="10.1007/s42967-023-00297-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2301.12926"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="item7996400" value="7996400" aria-label="mark item Zbl 07996400"></div> <div class="author"><a href="/authors/micalizzi.lorenzo" title="Author Profile">Micalizzi, Lorenzo</a>; <a href="/authors/torlo.davide" title="Author Profile">Torlo, Davide</a>; <a href="/authors/boscheri.walter" title="Author Profile">Boscheri, Walter</a></div> <h3 class="title"> <a href="/7996400"><strong>Efficient iterative arbitrary high-order methods: an adaptive bridge between low and high order.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996400">Zbl 07996400</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 40-77 (2025)</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%3A65Y20" title="Complexity and performance of numerical algorithms">65Y20</a> <a class="mono" href="/classification/?q=cc%3A35L65" title="Hyperbolic conservation laws">35L65</a> </div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996400" data-ciurl="/ci/07996400" data-biburl="/bibtex/07996400.bib" data-amsurl="/amsrefs/07996400.bib" data-xmlurl="/xml/07996400.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996400.pdf" title="Zbl 07996400 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/10.1007/s42967-023-00290-w" aria-label="DOI for “Efficient iterative arbitrary high-order methods: an adaptive bridge between low and high order”" title="10.1007/s42967-023-00290-w">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2212.07783"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7996399" value="7996399" aria-label="mark item Zbl 07996399"></div> <div class="author"><a href="/authors/ranocha.hendrik" title="Author Profile">Ranocha, Hendrik</a>; <a href="/authors/winters.andrew-r" title="Author Profile">Winters, Andrew R.</a>; <a href="/authors/castro.hugo-guillermo" title="Author Profile">Castro, Hugo Guillermo</a>; <a href="/authors/dalcin.lisandro-d" title="Author Profile">Dalcin, Lisandro</a>; <a href="/authors/schlottke-lakemper.michael" title="Author Profile">Schlottke-Lakemper, Michael</a>; <a href="/authors/gassner.gregor-j" title="Author Profile">Gassner, Gregor J.</a>; <a href="/authors/parsani.matteo" title="Author Profile">Parsani, Matteo</a></div> <h3 class="title"> <a href="/7996399"><strong>On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7996399">Zbl 07996399</a> </h3> <div class="source"> <a href="/serials/9600" title="Journal Profile">Commun. Appl. Math. Comput.</a> <a href="/?q=in%3A524797" title="Articles in this Issue">7, No. 1, 3-39 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65L06" title="Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations">65L06</a> <a class="mono" href="/classification/?q=cc%3A65M20" title="Method of lines for initial value and initial-boundary value problems involving PDEs">65M20</a> <a class="mono" href="/classification/?q=cc%3A65M70" title="Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs">65M70</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%3A76M22" title="Spectral methods applied to problems in fluid mechanics">76M22</a> <a class="mono" href="/classification/?q=cc%3A76N99" title="Compressible fluids and gas dynamics">76N99</a> <a class="mono" href="/classification/?q=cc%3A35L50" title="Initial-boundary value problems for first-order hyperbolic systems">35L50</a> </div>  <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" 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