John T. Betts - Author Profile

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Betts - Author Profile - zbMATH Open</title> <meta name="viewport" content="width=device-width, minimum-scale=0.1, maximum-scale=5.0"> <meta name="robots" content="noarchive"> <meta name="referrer" content="origin-when-cross-origin"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap-theme.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.css" rel="stylesheet" media="screen,print"> <link rel="stylesheet" href="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/css/bootstrap-select.min.css"> <link href="/static/css/smoothness/jquery-ui-1.10.1.custom.min.css" rel="stylesheet" media="screen"> <link href="/static/styles.css?v=20241024" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/zbMathJax/v0.1.38/zbmathjax.css" rel="stylesheet" media="screen,print"> <link rel="shortcut icon" href="/static/zbmath.ico"> <script type="application/ld+json"> { "@context": "http://schema.org", "@type": "Organization", "url": "https://zbmath.org/", "logo": "https://zbmath.org/static/zbMATH.png" } </script> </head> <body> <div id="line"></div> <span id="clear" style="cursor: pointer;">×</span> <div id="page"> <div id="head"> <nav id="menu" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#zbnav" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <a class="navbar-brand" href="#"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open logo"> </a> </div> <div id="zbnav" class="collapse navbar-collapse"> <ul class="nav navbar-nav pages"> <li class="about"> <a href="/about/">About</a> </li> <li class="frequently-asked-questions"> <a href="/frequently-asked-questions/">FAQ</a> </li> <li class="general-help"> <a href="/general-help/">General Help</a> </li> <li class="reviewer-service"> <a href="https://zbmath.org/reviewer-service/" target="_self" >Reviewer Service</a> </li> <li> <a href="/tools-and-resources/">Tools & Resources</a> </li> <li class="contact"> <a href="/contact/">Contact</a> </li> </ul> <ul class="nav navbar-nav navbar-right prefs"> <li class="preferences dropdown"> <a data-toggle="dropdown" href="#">Preferences <i class="caret"></i></a> <ul class="dropdown-menu preferences"> <li> <form id="preferences" class="navbar-form" method="post" action="/preferences/" onsubmit="return confirm('This website uses cookies for the purposes of storing preference information on your device. 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type="text" name="q" value="ai:betts.john-t" aria-label="Search for authors" placeholder="Search for authors" 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">ai:</span><span>  </span>author code</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>author name</a></li> <li><a href="#"><span class="token item">any:</span><span>  </span>anywhere</a></li> <li><a href="#"><span class="token item">aw:</span><span>  </span>award</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>main field</a></li> <li><a href="#"><span class="token item">cm:</span><span>  </span>collectives of</a></li> <li><a href="#"><span class="token item">co:</span><span>  </span>in collective</a></li> <li><a href="#"><span class="token item">en:</span><span>  </span>external id type</a></li> <li><a href="#"><span class="token item">fn:</span><span>  </span>first name</a></li> <li><a href="#"><span class="token item">ln:</span><span>  </span>last name</a></li> <li><a href="#"><span class="token item">py:</span><span>  </span>publication year</a></li> <li><a href="#"><span class="token item">rv:</span><span>  </span>reviewer</a></li> <li><a href="#"><span class="token item">st:</span><span>  </span>state</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=Simon+Donald%2A">Simon Donald*</a></span> <span class="search-explanation" role="cell" role="cell">Search in <strong>all parts</strong> of an author's name (results contain <em>Simon, Donald</em> M. and <em>Donald</em>son, <em>Simon</em> Kirwan).</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=ln%3A+Donald%2A+fn%3A+Simon">ln: Donald* fn: Simon</a></span> <span class="search-explanation" role="cell" role="cell">Search for specified family (<strong>ln</strong>) and given (<strong>fn</strong>) name.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Stefan+M%C3%BCller+cc%3A49">au: Stefan Müller cc:49</a></span> <span class="search-explanation" role="cell" role="cell">Combine name search (<strong>au</strong>) with main MSC fields (<strong>cc</strong>).</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Helga+Bunke">au: Helga Bunke</a></span> <span class="search-explanation" role="cell" role="cell">Search results include <strong>name variations</strong>, in particular <strong>name changes</strong>, different <strong>transliterations</strong> and <strong>pseudonyms</strong>. Names of collectives will be displayed as a separate entity.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%28st%3Ar+%26+b%29+%7C+%28st%3Ao%29">(st:r & b) | (st:o)</a></span> <span class="search-explanation" role="cell" role="cell">Search results include all <strong><u>r</u>eviewers</strong> with <strong><u>b</u>iographic information</strong> or <strong>c<u>o</u>llectives</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%28en%3AMGP+%7C+wikidata%29+ln%3Aa%2A">(en:MGP | wikidata) ln:a*</a></span> <span class="search-explanation" role="cell" role="cell">Search results include all authors having either an <strong><u>en</u>try</strong> in the <em>Math Genealogy</em> Project or in <em>Wikidata</em> and whose family name starts with <em>A</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=aw%3A+Fields+Abel">aw: Fields Abel</a></span> <span class="search-explanation" role="cell" role="cell">Search for all <em>Fields Medal</em> <strong><u>aw</u>ard winners</strong> who also received an <em>Abel Prize</em>. The <strong>&</strong> operator is default and ommitted here.</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ai</strong> </span> <span class="search-explanation" role="cell" role="cell"> zbMATH author ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>au</strong> </span> <span class="search-explanation" role="cell" role="cell"> Author name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>any</strong> </span> <span class="search-explanation" role="cell" role="cell"> Includes ai, au, aw, cc </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>aw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of an award (to find laureates) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cc</strong> </span> <span class="search-explanation" role="cell" role="cell"> Main Fields of the author (given by first two MSC digits) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cm</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of a collective (to find members of this collective) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>co</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of an author (to find collectives the author is a member of) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>en</strong> </span> <span class="search-explanation" role="cell" role="cell"> External author ID: ORCID, MGP, Wikidata object number and others </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>fn</strong> </span> <span class="search-explanation" role="cell" role="cell"> First name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ln</strong> </span> <span class="search-explanation" role="cell" role="cell"> Last name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>py</strong> </span> <span class="search-explanation" role="cell" role="cell"> Year(s) in which the author has published. Interval search with “-” </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>rv</strong> </span> <span class="search-explanation" role="cell" role="cell"> Reviewer ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>st</strong> </span> <span class="search-explanation" role="cell" role="cell"> State: has biographic references (<em>st:b</em>), is cited (<em>st:c</em>), is collective (st:o), has references (<em>st:r</em>) </span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Operators</h2> <div id="operators-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a & b</strong></span> <span class="search-explanation" role="cell" role="cell">logical and</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a | b</strong></span> <span class="search-explanation" role="cell" role="cell">logical or</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>!ab</strong></span> <span class="search-explanation" role="cell" role="cell">logical not</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>abc*</strong></span> <span class="search-explanation" role="cell" role="cell">right wildcard</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>ab c</strong></span> <span class="search-explanation" role="cell" role="cell">phrase</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>(ab c)</strong></span> <span class="search-explanation" role="cell" role="cell">parentheses</span> </div> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <form class="form-inline" name="authors" method="get" action="/authors/"> <div class="authors structured" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"><span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span> <a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a></li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid two-columns"> <div class="row"> <div class="col-xs-12 col-sm-6"> <div class="form-group field ln"> <label for="ln">Family Name:</label> <input id="ln" name="ln" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field fn"> <label for="fn">Given Name:</label> <input id="fn" name="fn" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field cc"> <label for="cc">Main Fields:</label> <input id="cc" name="cc" class="form-control" type="text" value="" placeholder=""> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="field given by first two MSC digits" aria-label="field given by first two MSC digits"></span> </div> <div class="form-group field st checkboxes-wrapper"> <label>Status:</label> <div class="checkboxes"> <input type="checkbox" id="st-z" name="st" class="form-control" value="z"> <label for="st-z" title="restrict to Authors who are zbMATH Reviewers"> Reviewer</label><br> <input type="checkbox" id="st-b" name="st" class="form-control" value="b"> <label for="st-b" title="restrict to Authors having Biographic References"> Biographic References</label><br> </div> </div> </div> <div class="col-xs-12 col-sm-6"> <div class="form-group field ai"> <label for="ai">zbMATH Author ID:</label> <input id="ai" name="ai" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field en"> <label for="en">External ID:</label> <input id="en" name="en" class="form-control" type="text" value="" placeholder=""> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="e.g. ORCID, MGP, …" aria-label="e.g. ORCID, MGP, ..."></span> </div> <div class="form-group field any"> <label for="any">Anywhere:</label> <input id="any" name="any" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field aw"> <label for="aw">Awards:</label> <select id="aw" name="aw" class="form-control"> <option value=""></option> <option value="Abel Prize">Abel Prize</option> <option value="Breakthrough Prize in Mathematics">Breakthrough Prize in Mathematics</option> <option value="Carl Friedrich Gauss Prize">Carl Friedrich Gauss Prize</option> <option value="Chern Medal">Chern Medal</option> <option value="Clay Research Award">Clay Research Award</option> <option value="EMS Prize">EMS Prize</option> <option value="Fields Medal">Fields Medal</option> <option value="Kyoto Prize in Basic Sciences">Kyoto Prize in Basic Sciences</option> <option value="Nevanlinna Prize">Nevanlinna Prize</option> <option value="Nobel Memorial Prize in Economic Sciences">Nobel Memorial Prize in Economic Sciences</option> <option value="Nobel Prize in Physics">Nobel Prize in Physics</option> <option value="Shaw Prize">Shaw Prize</option> <option value="Turing Award">Turing Award</option> <option value="Wolf Prize">Wolf Prize</option> </select> </div> </div> </div> </div> <div class="clearfix"></div> <div class="container-fluid"> <div class="row buttons"> <div class="col-xs-6"> <a tabindex="0" class="btn btn-default clear-all">Clear all <span class="glyphicon glyphicon-remove"></span></a> </div> <div class="col-xs-12 col-sm-6"> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> <div class="clearfix"></div> </div> </form> <div class="clear"></div> </div><div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="authors"> <div class="content-main"> <article> <div class="head"> <div class="pull-right"> <a class="btn btn-default matrix edit-profile" type="button" href="/author-profile/edit/betts.john-t" target="_blank">Edit Profile <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></a> </div> <h2>Betts, John T.</h2> </div> <div class="erdos pull-right"> <a href="/collaboration-distance/?a=betts.john-t&b=erdos.paul" title="Compute Co-Author Distance to Erdős or any other Author"> Co-Author Distance </a> </div> <div class="text" style="max-width: 80%;"> <table> <tr> <td>Author ID:</td> <td>betts.john-t <a target="_blank" href="/atom/ai/betts.john-t"><img class="feed-icon" alt="Recent zbMATH articles by "Betts, John T."" src="/static/feed-icon-14x14.png"></a></td> </tr><tr> <td>Published as:</td> <td><span>Betts, John T.</span>; <span>Betts, J. T.</span></td> </tr> </table> </div> <div class="indexed"> <table> <tr> <td>Documents Indexed:</td> <td> <a href="/?q=ia%3Abetts.john-t">42 Publications</a> since 1972, including <a href="/?q=ia%3Abetts.john-t+dt%3Ab">3 Books</a> </td> </tr> <tr> <td>Software Indexed:</td> <td> <a href="/software/?q=ia%3Abetts.john-t">3 Packages</a> </td> </tr> <tr> <td>Co-Authors:</td> <td> <a href="/authors/?q=ai1%3Abetts.john-t">14 Co-Authors</a> with <a href="/?q=ai%3Abetts.john-t+ai1%3Abetts.john-t"> 23 Joint Publications</a> </td> </tr> <tr><td></td><td> <a href="/authors/?q=ai2%3Abetts.john-t">206 Co-Co-Authors</a> </td> </table> </div> <div class="profile"> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Co-Authors</h3> <table class="profile"> <tr class="single_authored"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+na%3A1" title="Single-Authored Publications">19</a> </td> <td class="text">single-authored</td> </tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Acampbell.stephen-l" title="Joint Publications">12</a> </td> <td class="text"> <a href="/authors/campbell.stephen-l" title="Author Profile"> Campbell, Stephen LaVern </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Ahuffman.william-p" title="Joint Publications">7</a> </td> <td class="text"> <a href="/authors/huffman.william-p" title="Author Profile"> Huffman, William P. </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Abiehn.neil" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/biehn.neil" title="Author Profile"> Biehn, Neil </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Athompson.karmethia-c" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/thompson.karmethia-c" title="Author Profile"> Thompson, Karmethia C. </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Adigirolamo.claire" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/digirolamo.claire" title="Author Profile"> Digirolamo, Claire </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Aengelsone.anna" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/engelsone.anna" title="Author Profile"> Engelsone, Anna </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Afrank.paul-d" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/frank.paul-d" title="Author Profile"> Frank, Paul D. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Acitron.stephen-j" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/citron.stephen-j" title="Author Profile"> Citron, Stephen J. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Acramer.evin-j" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/cramer.evin-j" title="Author Profile"> Cramer, Evin J. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Aeldersveld.samuel-k" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/eldersveld.samuel-k" title="Author Profile"> Eldersveld, Samuel K. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Aerb.sven-o" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/erb.sven-o" title="Author Profile"> Erb, Sven O. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Agherman.ilia" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/gherman.ilia" title="Author Profile"> Gherman, Ilia </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Alewis.john-gregg" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/lewis.john-gregg" title="Author Profile"> Lewis, John Gregg </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+ai%3Aschulz.volker-h" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/schulz.volker-h" title="Author Profile"> Schulz, Volker H. </a> </td></tr> </table> </div> <div class="facet2nd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Serials</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A263" title="Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A263" title="Serial Profile"> Journal of Guidance, Control and Dynamics </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A515" title="Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A515" title="Serial Profile"> Journal of Optimization Theory and Applications </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A482" title="Publications in this Serial">3</a> </td> <td class="text"> <a href="/serials/?q=se%3A482" title="Serial Profile"> Journal of Computational and Applied Mathematics </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A4632" title="Publications in this Serial">3</a> </td> <td class="text"> <a href="/serials/?q=se%3A4632" title="Serial Profile"> Advances in Design and Control </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A19" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A19" title="Serial Profile"> AIAA Journal </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A276" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A276" title="Serial Profile"> ACM Transactions on Mathematical Software </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A1033" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A1033" title="Serial Profile"> Applied Numerical Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A1417" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A1417" title="Serial Profile"> Numerical Algorithms </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A7351" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A7351" title="Serial Profile"> Numerical Algebra, Control and Optimization </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A816" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A816" title="Serial Profile"> Optimal Control Applications & Methods </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A1796" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1796" title="Serial Profile"> SIAM Journal on Optimization </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A1831" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1831" title="Serial Profile"> Computational Optimization and Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A1843" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1843" title="Serial Profile"> SIAM Journal on Scientific Computing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A2327" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2327" title="Serial Profile"> Optimization Methods & Software </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A2671" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2671" title="Serial Profile"> Optimization and Engineering </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+se%3A2997" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2997" title="Serial Profile"> SIAM Journal on Applied Dynamical Systems </a> </td></tr> </table> </div> <div class="facet3rd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A49" title="Publications in this Field">28</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A65" title="Publications in this Field">24</a> </td> <td class="text"> <a href="/classification/?q=cc%3A65" title="Mathematics Subject Classification"> Numerical analysis <span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A90" title="Publications in this Field">24</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming <span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A34" title="Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A34" title="Mathematics Subject Classification"> Ordinary differential equations <span style="white-space: nowrap;">(34-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A70" title="Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems <span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A93" title="Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control <span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A68" title="Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science <span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A35" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations <span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A62" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics <span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Abetts.john-t+cc%3A76" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A76" title="Mathematics Subject Classification"> Fluid mechanics <span style="white-space: nowrap;">(76-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Publications by Year</h3> <div class="diagram ai-diagram" aria-label="publications by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script src="/static/js/d3.v3.min.js"></script> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".ai-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:1972, frequency:1 },{ year:1975, frequency:1 },{ year:1976, frequency:1 },{ year:1977, frequency:2 },{ year:1978, frequency:1 },{ year:1980, frequency:2 },{ year:1990, frequency:1 },{ year:1991, frequency:1 },{ year:1992, frequency:1 },{ year:1993, frequency:2 },{ year:1994, frequency:2 },{ year:1995, frequency:2 },{ year:1997, frequency:1 },{ year:1998, frequency:1 },{ year:1999, frequency:1 },{ year:2000, frequency:2 },{ year:2001, frequency:1 },{ year:2002, frequency:2 },{ year:2003, frequency:3 },{ year:2005, frequency:1 },{ year:2006, frequency:1 },{ year:2007, frequency:2 },{ year:2010, frequency:1 },{ year:2012, frequency:1 },{ year:2015, frequency:2 },{ year:2016, frequency:3 },{ year:2020, frequency:2 },{ year:2021, frequency:1 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, 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"s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> <div class="publications sort_by_ci hide_more"><div class="more_less"> <a tabindex="0" class="more">all cited Publications <i class="caret"></i></a> <a tabindex="0" class="less">top 5 cited Publications <i class="caret"></i></a> </div><h3>Citations contained in zbMATH Open</h3> <table> <thead> <tr> <th> <strong>38 Publications have been cited 833 times in <a href="/?q=ra%3Abetts.john-t">636 Documents</a> </strong> </th> <th> <a tabindex="0" class="sort_cited">Cited by<span class="pub_ci"> ▼</span></a> </th> <th> <a tabindex="0" class="sort_year">Year<span class="pub_py"> ▼</span></a> </th> </tr> </thead> <tbody> <tr class="pub_ci"> <td> <a class="black" href="/1158.49303">Survey of numerical methods for trajectory optimization.</a> <a class="label nowrap" href="/1158.49303">Zbl 1158.49303</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5544763">198</a> </div> </td> <td> <div class="citation_year">1998</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0995.49017">Practical methods for optimal control using nonlinear programming.</a> <a class="label nowrap" href="/0995.49017">Zbl 0995.49017</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1597551">185</a> </div> </td> <td> <div class="citation_year">2001</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1189.49001">Practical methods for optimal control and estimation using nonlinear programming. 2nd ed.</a> <a class="label nowrap" href="/1189.49001">Zbl 1189.49001</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5654717">182</a> </div> </td> <td> <div class="citation_year">2010</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0304.49024">Solving the nonlinear least square problem: Application of a general method.</a> <a class="label nowrap" href="/0304.49024">Zbl 0304.49024</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3476189">17</a> </div> </td> <td> <div class="citation_year">1976</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1088.49500">Optimal low thrust trajectories to the Moon.</a> <a class="label nowrap" href="/1088.49500">Zbl 1088.49500</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/erb.sven-o" title="Author Profile">Erb, Sven O.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1931245">17</a> </div> </td> <td> <div class="citation_year">2003</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0797.49028">Issues in the direct transcription of optimal control problems to sparse nonlinear programs.</a> <a class="label nowrap" href="/0797.49028">Zbl 0797.49028</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A589243">15</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0781.49019">Path-constrained trajectory optimization using sparse sequential quadratic programming.</a> <a class="label nowrap" href="/0781.49019">Zbl 0781.49019</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, William P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A218530">14</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1170.49311">Direct transcription solution of optimal control problems with higher-order state constraints: theory vs practice.</a> <a class="label nowrap" href="/1170.49311">Zbl 1170.49311</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, S. L.</a>; <a href="/authors/engelsone.anna" title="Author Profile">Engelsone, A.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5573353">14</a> </div> </td> <td> <div class="citation_year">2007</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0325.65027">An accelerated multiplier method for nonlinear programming.</a> <a class="label nowrap" href="/0325.65027">Zbl 0325.65027</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3509673">14</a> </div> </td> <td> <div class="citation_year">1977</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1009.49025">Convergence of nonconvergent IRK discretizations of optimal control problems with state inequality constraints.</a> <a class="label nowrap" href="/1009.49025">Zbl 1009.49025</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a>; <a href="/authors/biehn.neil" title="Author Profile">Biehn, N.</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, S. L.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1729224">12</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1113.65066">Direct transcription solution of higher-index optimal control problems and the virtual index.</a> <a class="label nowrap" href="/1113.65066">Zbl 1113.65066</a> <br><a href="/authors/engelsone.anna" title="Author Profile">Engelsone, A.</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, S. L.</a>; <a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5133015">12</a> </div> </td> <td> <div class="citation_year">2007</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0843.90106">A sparse nonlinear optimization algorithm.</a> <a class="label nowrap" href="/0843.90106">Zbl 0843.90106</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a>; <a href="/authors/frank.paul-d" title="Author Profile">Frank, P. D.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A679951">11</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1197.49032">Discretize then optimize.</a> <a class="label nowrap" href="/1197.49032">Zbl 1197.49032</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, Stephen L.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5238864">11</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0751.90069">Application of sparse nonlinear programming to trajectory optimization.</a> <a class="label nowrap" href="/0751.90069">Zbl 0751.90069</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, William P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A55816">10</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0971.65075">Compensating for order variation in mesh refinement for direct transcription methods.</a> <a class="label nowrap" href="/0971.65075">Zbl 0971.65075</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/biehn.neil" title="Author Profile">Biehn, Neil</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, Stephen L.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, William P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1566009">10</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0970.65072">Very low-thrust trajectory optimization using a direct SQP method.</a> <a class="label nowrap" href="/0970.65072">Zbl 0970.65072</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1501735">9</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0800.90768">Trajectory optimization on a parallel processor.</a> <a class="label nowrap" href="/0800.90768">Zbl 0800.90768</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, William P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A221197">9</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1346.65033">Solving optimal control problems with control delays using direct transcription.</a> <a class="label nowrap" href="/1346.65033">Zbl 1346.65033</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, Stephen L.</a>; <a href="/authors/thompson.karmethia-c" title="Author Profile">Thompson, Karmethia C.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6617345">8</a> </div> </td> <td> <div class="citation_year">2016</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0826.93050">Application of direct transcription to commercial aircraft trajectory optimization.</a> <a class="label nowrap" href="/0826.93050">Zbl 0826.93050</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/cramer.evin-j" title="Author Profile">Cramer, Evin J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A779263">7</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0227.49015">Approximate optimal control of distributed parameter systems.</a> <a class="label nowrap" href="/0227.49015">Zbl 0227.49015</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/citron.stephen-j" title="Author Profile">Citron, Stephen J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3360882">7</a> </div> </td> <td> <div class="citation_year">1972</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0281.90065">An improved penalty function method for solving constrained parameter optimization problems.</a> <a class="label nowrap" href="/0281.90065">Zbl 0281.90065</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3441862">7</a> </div> </td> <td> <div class="citation_year">1975</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0351.90066">A gradient projection-multiplier method for nonlinear programming.</a> <a class="label nowrap" href="/0351.90066">Zbl 0351.90066</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3547069">6</a> </div> </td> <td> <div class="citation_year">1978</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1006.65088">Compensating for order variation in mesh refinement for direct transcription methods. II: Computational experience.</a> <a class="label nowrap" href="/1006.65088">Zbl 1006.65088</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a>; <a href="/authors/biehn.neil" title="Author Profile">Biehn, N.</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, S. L.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, W. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1787639">6</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1451.49001">Practical methods for optimal control using nonlinear programming. 3rd revised edition.</a> <a class="label nowrap" href="/1451.49001">Zbl 1451.49001</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7242222">6</a> </div> </td> <td> <div class="citation_year">2020</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0704.49026">Sparse Jacobian updates in the collocation method for optimal control problems.</a> <a class="label nowrap" href="/0704.49026">Zbl 0704.49026</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4155304">5</a> </div> </td> <td> <div class="citation_year">1990</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1317.49032">Optimal control of a delay PDE.</a> <a class="label nowrap" href="/1317.49032">Zbl 1317.49032</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, Stephen L.</a>; <a href="/authors/thompson.karmethia-c" title="Author Profile">Thompson, Karmethia C.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6469912">5</a> </div> </td> <td> <div class="citation_year">2012</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1353.65060">Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches.</a> <a class="label nowrap" href="/1353.65060">Zbl 1353.65060</a> <br><a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, Stephen L.</a>; <a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6654604">5</a> </div> </td> <td> <div class="citation_year">2016</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1317.65162">Lobatto IIIA methods, direct transcription, and DAEs with delays.</a> <a class="label nowrap" href="/1317.65162">Zbl 1317.65162</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/campbell.stephen-l" title="Author Profile">Campbell, Stephen L.</a>; <a href="/authors/thompson.karmethia-c" title="Author Profile">Thompson, Karmethia</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6449323">4</a> </div> </td> <td> <div class="citation_year">2015</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1311.49080">Optimal low-thrust orbit transfers with eclipsing.</a> <a class="label nowrap" href="/1311.49080">Zbl 1311.49080</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6430996">4</a> </div> </td> <td> <div class="citation_year">2015</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0794.49029">Trajectory optimization using sparse sequential quadratic programming.</a> <a class="label nowrap" href="/0794.49029">Zbl 0794.49029</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A510355">3</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0937.49018">Exploiting sparsity in the direct transcription method for optimal control.</a> <a class="label nowrap" href="/0937.49018">Zbl 0937.49018</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, William P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1385197">2</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0434.65040">A compact algorithm for computing the stationary point of a quadratic function subject to linear constraints.</a> <a class="label nowrap" href="/0434.65040">Zbl 0434.65040</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3677088">2</a> </div> </td> <td> <div class="citation_year">1980</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0363.70029">Optimal three-burn orbit transfer.</a> <a class="label nowrap" href="/0363.70029">Zbl 0363.70029</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. 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T.</a>; <a href="/authors/frank.paul-d" title="Author Profile">Frank, P. D.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A679951">11</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0781.49019">Path-constrained trajectory optimization using sparse sequential quadratic programming.</a> <a class="label nowrap" href="/0781.49019">Zbl 0781.49019</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, William P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A218530">14</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0794.49029">Trajectory optimization using sparse sequential quadratic programming.</a> <a class="label nowrap" href="/0794.49029">Zbl 0794.49029</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A510355">3</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0751.90069">Application of sparse nonlinear programming to trajectory optimization.</a> <a class="label nowrap" href="/0751.90069">Zbl 0751.90069</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, William P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A55816">10</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0800.90768">Trajectory optimization on a parallel processor.</a> <a class="label nowrap" href="/0800.90768">Zbl 0800.90768</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/huffman.william-p" title="Author Profile">Huffman, William P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A221197">9</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0704.49026">Sparse Jacobian updates in the collocation method for optimal control problems.</a> <a class="label nowrap" href="/0704.49026">Zbl 0704.49026</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4155304">5</a> </div> </td> <td> <div class="citation_year">1990</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0434.65040">A compact algorithm for computing the stationary point of a quadratic function subject to linear constraints.</a> <a class="label nowrap" href="/0434.65040">Zbl 0434.65040</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3677088">2</a> </div> </td> <td> <div class="citation_year">1980</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0351.90066">A gradient projection-multiplier method for nonlinear programming.</a> <a class="label nowrap" href="/0351.90066">Zbl 0351.90066</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3547069">6</a> </div> </td> <td> <div class="citation_year">1978</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0325.65027">An accelerated multiplier method for nonlinear programming.</a> <a class="label nowrap" href="/0325.65027">Zbl 0325.65027</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3509673">14</a> </div> </td> <td> <div class="citation_year">1977</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0363.70029">Optimal three-burn orbit transfer.</a> <a class="label nowrap" href="/0363.70029">Zbl 0363.70029</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3566270">2</a> </div> </td> <td> <div class="citation_year">1977</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0304.49024">Solving the nonlinear least square problem: Application of a general method.</a> <a class="label nowrap" href="/0304.49024">Zbl 0304.49024</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3476189">17</a> </div> </td> <td> <div class="citation_year">1976</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0281.90065">An improved penalty function method for solving constrained parameter optimization problems.</a> <a class="label nowrap" href="/0281.90065">Zbl 0281.90065</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, J. T.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3441862">7</a> </div> </td> <td> <div class="citation_year">1975</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0227.49015">Approximate optimal control of distributed parameter systems.</a> <a class="label nowrap" href="/0227.49015">Zbl 0227.49015</a> <br><a href="/authors/betts.john-t" title="Author Profile">Betts, John T.</a>; <a href="/authors/citron.stephen-j" title="Author Profile">Citron, Stephen J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3360882">7</a> </div> </td> <td> <div class="citation_year">1972</div> </td> </tr> </tbody> </table><div class="more_less"> <a tabindex="0" class="more">all cited Publications <i class="caret"></i></a> <a tabindex="0" class="less">top 5 cited Publications <i class="caret"></i></a> </div></div> <div class="profile"> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Cited by 1,171 Authors</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Abetts.john-t" title="Citing Publications by this Author">19</a> </td> <td class="text"> <a href="/authors/betts.john-t" title="Author Profile"> Betts, John T. </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Acampbell.stephen-l" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/campbell.stephen-l" title="Author Profile"> Campbell, Stephen LaVern </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Amaurer.helmut" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/maurer.helmut" title="Author Profile"> Maurer, Helmut </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Agerdts.matthias" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/gerdts.matthias" title="Author Profile"> Gerdts, Matthias </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Apeng.haijun" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/peng.haijun" title="Author Profile"> Peng, Haijun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Arao.anil-v" title="Citing Publications by this Author">10</a> </td> <td class="text"> <a href="/authors/rao.anil-v" title="Author Profile"> Rao, Anil V. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Atrelat.emmanuel" title="Citing Publications by this Author">10</a> </td> <td class="text"> <a href="/authors/trelat.emmanuel" title="Author Profile"> Trélat, Emmanuel </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Aober-blobaum.sina" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/ober-blobaum.sina" title="Author Profile"> Ober-Blöbaum, Sina </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Atopputo.francesco" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/topputo.francesco" title="Author Profile"> Topputo, Francesco </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Abottasso.carlo-l" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/bottasso.carlo-l" title="Author Profile"> Bottasso, Carlo L. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Ashamsi.mostafa" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/shamsi.mostafa" title="Author Profile"> Shamsi, Mostafa </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Abiegler.lorenz-t" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/biegler.lorenz-t" title="Author Profile"> Biegler, Lorenz T. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Aliu.xinggao" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/liu.xinggao" title="Author Profile"> Liu, Xinggao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Amarzban.hamid-reza" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/marzban.hamid-reza" title="Author Profile"> Marzban, Hamid-Reza </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Ateo.kok-lay" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/teo.kok-lay" title="Author Profile"> Teo, Kok Lay </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Awang.xinwei.1" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/wang.xinwei.1" title="Author Profile"> Wang, Xinwei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Axiao.long" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/xiao.long" title="Author Profile"> Xiao, Long </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Azhang.guofeng" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/zhang.guofeng" title="Author Profile"> Zhang, Guofeng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Azheng.qingqing" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/zheng.qingqing" title="Author Profile"> Zheng, Qingqing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Abai.zhongzhi" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/bai.zhongzhi" title="Author Profile"> Bai, Zhongzhi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Abonnans.joseph-frederic" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/bonnans.joseph-frederic" title="Author Profile"> Bonnans, Joseph Frédéric </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Abuskens.christof" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/buskens.christof" title="Author Profile"> Büskens, Christof </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Agao.xingbao" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/gao.xingbao" title="Author Profile"> Gao, Xingbao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Ahager.william-w" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/hager.william-w" title="Author Profile"> Hager, William W. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Ama.changfeng" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/ma.changfeng" title="Author Profile"> Ma, Changfeng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Amartinon.pierre" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/martinon.pierre" title="Author Profile"> Martinon, Pierre </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Amingotti.giorgio" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/mingotti.giorgio" title="Author Profile"> Mingotti, Giorgio </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Azhong.wanxie" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/zhong.wanxie" title="Author Profile"> Zhong, Wanxie </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Aazhmyakov.vadim" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/azhmyakov.vadim" title="Author Profile"> Azhmyakov, Vadim </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Abastos.guaraci-jun" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/bastos.guaraci-jun" title="Author Profile"> Bastos, Guaraci jun. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Abernelli-zazzera.franco" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/bernelli-zazzera.franco" title="Author Profile"> Bernelli-Zazzera, Franco </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Acerf.max" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/cerf.max" title="Author Profile"> Cerf, Max </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Achachuat.benoit" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/chachuat.benoit" title="Author Profile"> Chachuat, Benoît </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Acurtis.frank-e" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/curtis.frank-e" title="Author Profile"> Curtis, Frank E. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Afan.hongtao" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/fan.hongtao" title="Author Profile"> Fan, Hongtao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Agong.qi" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/gong.qi" title="Author Profile"> Gong, Qi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Ahoseini.sayyed-mohammad" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/hoseini.sayyed-mohammad" title="Author Profile"> Hoseini, Sayyed Mohammad </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Akang.wei" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/kang.wei" title="Author Profile"> Kang, Wei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+ai%3Akaramzin.dmitry-yu" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/karamzin.dmitry-yu" title="Author Profile"> Karamzin, Dmitry Yu. </a> </td></tr><tr class="more"> <td 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Analyse Non Linéaire </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+se%3A1017" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1017" title="Serial Profile"> Computer Aided Geometric Design </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+se%3A1179" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1179" title="Serial Profile"> Computational Mechanics </a> </td></tr> <tr class="more"> <td colspan="2">...and 61 more Serials</td> </tr> </table> </div> <div class="facet3rd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Cited in 36 Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A49" title="Citing Publications in this Field">376</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A65" title="Citing Publications in this Field">221</a> </td> <td class="text"> <a href="/classification/?q=cc%3A65" title="Mathematics Subject Classification"> Numerical analysis <span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A90" title="Citing Publications in this Field">179</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming <span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A93" title="Citing Publications in this Field">156</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control <span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A70" title="Citing Publications in this Field">128</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems <span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A34" title="Citing Publications in this Field">50</a> </td> <td class="text"> <a href="/classification/?q=cc%3A34" title="Mathematics Subject Classification"> Ordinary differential equations <span style="white-space: nowrap;">(34-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A92" title="Citing Publications in this Field">43</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences <span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A68" title="Citing Publications in this Field">26</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science <span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A35" title="Citing Publications in this Field">22</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations <span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A74" title="Citing Publications in this Field">17</a> </td> <td class="text"> <a href="/classification/?q=cc%3A74" title="Mathematics Subject Classification"> Mechanics of deformable solids <span style="white-space: nowrap;">(74-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A37" title="Citing Publications in this Field">16</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory <span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A91" title="Citing Publications in this Field">16</a> </td> <td class="text"> <a href="/classification/?q=cc%3A91" title="Mathematics Subject Classification"> Game theory, economics, finance, and other social and behavioral sciences <span style="white-space: nowrap;">(91-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A76" title="Citing Publications in this Field">10</a> </td> <td class="text"> <a href="/classification/?q=cc%3A76" title="Mathematics Subject Classification"> Fluid mechanics <span style="white-space: nowrap;">(76-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A62" title="Citing Publications in this Field">8</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics <span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A60" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes <span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A81" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A81" title="Mathematics Subject Classification"> Quantum theory <span style="white-space: nowrap;">(81-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A82" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A82" title="Mathematics Subject Classification"> Statistical mechanics, structure of matter <span style="white-space: nowrap;">(82-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A15" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A15" title="Mathematics Subject Classification"> Linear and multilinear algebra; matrix theory <span style="white-space: nowrap;">(15-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A33" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A33" title="Mathematics Subject Classification"> Special functions <span style="white-space: nowrap;">(33-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A45" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A45" title="Mathematics Subject Classification"> Integral equations <span style="white-space: nowrap;">(45-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A47" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A47" title="Mathematics Subject Classification"> Operator theory <span style="white-space: nowrap;">(47-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A53" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A53" title="Mathematics Subject Classification"> Differential geometry <span style="white-space: nowrap;">(53-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A80" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A80" title="Mathematics Subject Classification"> Classical thermodynamics, heat transfer <span style="white-space: nowrap;">(80-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A42" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A42" title="Mathematics Subject Classification"> Harmonic analysis on Euclidean spaces <span style="white-space: nowrap;">(42-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A78" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A78" title="Mathematics Subject Classification"> Optics, electromagnetic theory <span style="white-space: nowrap;">(78-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A01" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A01" title="Mathematics Subject Classification"> History and biography <span style="white-space: nowrap;">(01-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A05" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A05" title="Mathematics Subject Classification"> Combinatorics <span style="white-space: nowrap;">(05-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A13" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A13" title="Mathematics Subject Classification"> Commutative algebra <span style="white-space: nowrap;">(13-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A14" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A14" title="Mathematics Subject Classification"> Algebraic geometry <span style="white-space: nowrap;">(14-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A22" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A22" title="Mathematics Subject Classification"> Topological groups, Lie groups <span style="white-space: nowrap;">(22-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A26" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A26" title="Mathematics Subject Classification"> Real functions <span style="white-space: nowrap;">(26-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A41" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions <span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A57" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A57" title="Mathematics Subject Classification"> Manifolds and cell complexes <span style="white-space: nowrap;">(57-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A58" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A58" title="Mathematics Subject Classification"> Global analysis, analysis on manifolds <span style="white-space: nowrap;">(58-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A85" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A85" title="Mathematics Subject Classification"> Astronomy and astrophysics <span style="white-space: nowrap;">(85-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Abetts.john-t+cc%3A94" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A94" title="Mathematics Subject Classification"> Information and communication theory, circuits <span style="white-space: nowrap;">(94-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Citations by Year</h3> <div class="diagram ci-diagram" aria-label="citations by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".ci-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:1975, frequency:2 },{ year:1976, frequency:1 },{ year:1977, frequency:2 },{ year:1978, frequency:3 },{ year:1979, frequency:1 },{ year:1980, frequency:5 },{ year:1981, frequency:2 },{ year:1982, frequency:2 },{ year:1983, frequency:2 },{ year:1986, frequency:1 },{ year:1987, frequency:1 },{ year:1988, frequency:1 },{ year:1989, frequency:4 },{ year:1990, frequency:1 },{ year:1991, frequency:2 },{ year:1992, frequency:1 },{ year:1993, frequency:1 },{ year:1994, frequency:2 },{ year:1995, frequency:2 },{ year:1996, frequency:1 },{ year:1997, frequency:1 },{ year:1998, frequency:4 },{ year:1999, frequency:1 },{ year:2000, frequency:14 },{ year:2001, frequency:4 },{ year:2002, frequency:3 },{ year:2003, frequency:4 },{ year:2004, frequency:5 },{ year:2005, frequency:7 },{ year:2006, frequency:15 },{ year:2007, frequency:7 },{ year:2008, frequency:19 },{ year:2009, frequency:23 },{ year:2010, frequency:15 },{ year:2011, frequency:18 },{ year:2012, frequency:21 },{ year:2013, frequency:20 },{ year:2014, frequency:41 },{ year:2015, frequency:39 },{ year:2016, frequency:43 },{ year:2017, frequency:37 },{ year:2018, frequency:49 },{ year:2019, frequency:35 },{ year:2020, frequency:30 },{ year:2021, frequency:45 },{ year:2022, frequency:27 },{ year:2023, frequency:42 },{ year:2024, frequency:28 },{ year:2025, frequency:2 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, d3.max( data, d => d.frequency ) ] ); var xAxis = d3.svg.axis() .scale(xScale) .tickValues( // show ticks every 5 years for range up to 50 years, every 10 // years up to 100 years, and every 20 years above that xScale.domain().filter( function(d, i) { let ticks; if (xScale.domain().length <= 50) { ticks = 5; } else if (xScale.domain().length <= 100) { ticks = 10; } else { ticks = 20; } return !(d % ticks); } ) ) .tickSize(6,3,0) // removes end tick .orient("bottom"); var yAxis = d3.svg.axis() .scale(yScale) .ticks(3) // number of ticks .tickFormat(d3.format("d")) // only integers .tickSize(6,3,0) // removes end tick .orient("left"); svg.selectAll(".bar") .data(data) .enter() .append("a") .attr( "xlink:href", d => "/?q=ra%3Abetts.john-t+py%3A" + d.year ) .attr( "title", d => d.frequency + " Citation" + (d.frequency > 1 ? "s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> </article> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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John T. Betts - Author Profile - zbMATH Open