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Zhengru Zhang - Author Profile - zbMATH Open

<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Zhengru Zhang - 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;">&times;</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 &amp; 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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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 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="authors" method="GET" action="/authors/"> <div class="authors one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="ai:zhang.zhengru" 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>&nbsp;</span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ai:</span><span>&nbsp;&nbsp;</span>author code</a></li> <li><a href="#"><span class="token item">au:</span><span>&nbsp;&nbsp;</span>author name</a></li> <li><a href="#"><span class="token item">any:</span><span>&nbsp;&nbsp;</span>anywhere</a></li> <li><a href="#"><span class="token item">aw:</span><span>&nbsp;&nbsp;</span>award</a></li> <li><a href="#"><span class="token item">cc:</span><span>&nbsp;&nbsp;</span>main field</a></li> <li><a href="#"><span class="token item">cm:</span><span>&nbsp;&nbsp;</span>collectives of</a></li> <li><a href="#"><span class="token item">co:</span><span>&nbsp;&nbsp;</span>in collective</a></li> <li><a href="#"><span class="token item">en:</span><span>&nbsp;&nbsp;</span>external id type</a></li> <li><a href="#"><span class="token item">fn:</span><span>&nbsp;&nbsp;</span>first name</a></li> <li><a href="#"><span class="token item">ln:</span><span>&nbsp;&nbsp;</span>last name</a></li> <li><a href="#"><span class="token item">py:</span><span>&nbsp;&nbsp;</span>publication year</a></li> <li><a href="#"><span class="token item">rv:</span><span>&nbsp;&nbsp;</span>reviewer</a></li> <li><a href="#"><span class="token item">st:</span><span>&nbsp;&nbsp;</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&nbsp;<span class="item">&</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical and (default)</a></li> <li><a href="#"><span class="token">a&nbsp;<span class="item">|</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab&nbsp;&nbsp;&nbsp;</span><span>&nbsp;</span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>&nbsp;&nbsp;</span><span>&nbsp;</span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab&nbsp;c<span class="item">"</span></span><span>&nbsp;</span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab&nbsp;c<span class="item">)</span></span><span>&nbsp;</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 &amp; 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 &ldquo;-&rdquo; </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 &amp; 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>&nbsp;<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, &hellip;" 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/zhang.zhengru" target="_blank">Edit Profile&nbsp;<span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></a> </div> <h2>Zhang, Zhengru</h2> </div> <div class="erdos pull-right"> <a href="/collaboration-distance/?a=zhang.zhengru&amp;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>zhang.zhengru&nbsp;<a target="_blank" href="/atom/ai/zhang.zhengru"><img class="feed-icon" alt="Recent zbMATH articles by &quot;Zhang, Zhengru&quot;" src="/static/feed-icon-14x14.png"></a></td> </tr><tr> <td>Published as:</td> <td><span>Zhang, Zhengru</span>; <span>Zhang, Zheng-Ru</span>; <span id="more_spellings" class="more_spellings collapse"><span>Zhang, Z.</span> </span> <a role="button" data-toggle="collapse" href="#more_spellings" aria-expanded="false" aria-controls="more_spellings"><span>more...</span><span style="display: none;">less</span></a></td> </tr> </table> </div> <div class="indexed"> <table> <tr> <td>Documents Indexed:</td> <td> <a href="/?q=ia%3Azhang.zhengru">47 Publications</a> since 2001, including <a href="/?q=ia%3Azhang.zhengru+dt%3Ap">1 Additional arXiv Preprint</a> </td> </tr> <tr> <td>Co-Authors:</td> <td> <a href="/authors/?q=ai1%3Azhang.zhengru">40 Co-Authors</a> with <a href="/?q=ai%3Azhang.zhengru+ai1%3Azhang.zhengru"> 45 Joint Publications</a> </td> </tr> <tr><td></td><td> <a href="/authors/?q=ai2%3Azhang.zhengru">1,639 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%3Azhang.zhengru+na%3A1" title="Single-Authored Publications">2</a> </td> <td class="text">single-authored</td> </tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Awang.cheng.1" title="Joint Publications">15</a> </td> <td class="text"> <a href="/authors/wang.cheng.1" title="Author Profile"> Wang, Cheng </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Awise.steven-m" title="Joint Publications">10</a> </td> <td class="text"> <a href="/authors/wise.steven-m" title="Author Profile"> Wise, Steven M. </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Adong.lixiu" title="Joint Publications">9</a> </td> <td class="text"> <a href="/authors/dong.lixiu" title="Author Profile"> Dong, Lixiu </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Aqiao.zhonghua" title="Joint Publications">7</a> </td> <td class="text"> <a href="/authors/qiao.zhonghua" title="Author Profile"> Qiao, Zhonghua </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Azhang.hui.9" title="Joint Publications">7</a> </td> <td class="text"> <a href="/authors/zhang.hui.9" title="Author Profile"> Zhang, Hui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Atang.tao" title="Joint Publications">5</a> </td> <td class="text"> <a href="/authors/tang.tao" title="Author Profile"> Tang, Tao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Aqin.yuzhe" title="Joint Publications">4</a> </td> <td class="text"> <a href="/authors/qin.yuzhe" title="Author Profile"> Qin, Yuzhe </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Aguo.yunzhuo" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/guo.yunzhuo" title="Author Profile"> Guo, Yunzhuo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ameng.xiangjun" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/meng.xiangjun" title="Author Profile"> Meng, Xiangjun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Azhang.juan.8" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/zhang.juan.8" title="Author Profile"> Zhang, Juan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Abao.xuelian" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/bao.xuelian" title="Author Profile"> Bao, Xuelian </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Achen.rui" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/chen.rui" title="Author Profile"> Chen, Rui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Achen.wenbin.1" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/chen.wenbin.1" title="Author Profile"> Chen, Wenbin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Afeng.wenqiang" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/feng.wenqiang" title="Author Profile"> Feng, Wenqiang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ahe.dongdong" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/he.dongdong" title="Author Profile"> He, Dongdong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Asun.zhizhong" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/sun.zhizhong" title="Author Profile"> Sun, Zhizhong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Atan.zhijun" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/tan.zhijun" title="Author Profile"> Tan, Zhijun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ayang.danping" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/yang.danping" title="Author Profile"> Yang, Danping </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ayuan.maoqin" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/yuan.maoqin" title="Author Profile"> Yuan, Maoqin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Acao.dazhi" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/cao.dazhi" title="Author Profile"> Cao, Dazhi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Achen.xiaohong.3" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/chen.xiaohong.3" title="Author Profile"> Chen, Xiaohong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Adong.yuzhuo" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/dong.yuzhuo" title="Author Profile"> Dong, Yuzhuo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Agu.shuting" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/gu.shuting" title="Author Profile"> Gu, Shuting </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ahuang.yunqing" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/huang.yunqing" title="Author Profile"> Huang, Yunqing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ali.xiao.2" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/li.xiao.2" title="Author Profile"> Li, Xiao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ali.zhilin.1" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/li.zhilin.1" title="Author Profile"> Li, Zhilin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Aliao.dong" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/liao.dong" title="Author Profile"> Liao, Dong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Aluo.chunmei" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/luo.chunmei" title="Author Profile"> Luo, Chunmei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ama.yuan" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/ma.yuan" title="Author Profile"> Ma, Yuan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ama.yuanzi" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/ma.yuanzi" title="Author Profile"> Ma, Yuanzi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Apan.kejia" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/pan.kejia" title="Author Profile"> Pan, Kejia </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Apeng.qiujin" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/peng.qiujin" title="Author Profile"> Peng, Qiujin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Aren.gexue" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/ren.gexue" title="Author Profile"> Ren, Gexue </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ashah.murad-ali" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/shah.murad-ali" title="Author Profile"> Shah, Murad Ali </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Atang.huazhong" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/tang.huazhong" title="Author Profile"> Tang, Huazhong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Axia.zeyu" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/xia.zeyu" title="Author Profile"> Xia, Zeyu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Axu.liwei" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/xu.liwei" title="Author Profile"> Xu, Liwei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Axu.zhen" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/xu.zhen" title="Author Profile"> Xu, Zhen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Ayang.cheng" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/yang.cheng" title="Author Profile"> Yang, Cheng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+ai%3Azhao.zhihua" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/zhao.zhihua" title="Author Profile"> Zhao, ZhiHua </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%3Azhang.zhengru+se%3A482" title="Publications in this Serial">7</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%3Azhang.zhengru+se%3A4971" title="Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A4971" title="Serial Profile"> Communications in Computational Physics </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A127" title="Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A127" title="Serial Profile"> Journal of Computational Physics </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A62" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A62" title="Serial Profile"> Computers &amp; Mathematics with Applications </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A154" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A154" title="Serial Profile"> Mathematical Methods in the Applied Sciences </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A240" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A240" title="Serial Profile"> Mathematics of Computation </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A1186" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A1186" title="Serial Profile"> Numerical Methods for Partial Differential Equations </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A1246" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A1246" title="Serial Profile"> Journal of Scientific Computing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A1843" title="Publications in this Serial">2</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%3Azhang.zhengru+se%3A3193" title="Publications in this Serial">2</a> </td> 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Simulation </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A3051" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A3051" title="Serial Profile"> Communications in Mathematical Sciences </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A6462" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A6462" title="Serial Profile"> Numerical Mathematics: Theory, Methods and Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+se%3A8085" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8085" title="Serial Profile"> East Asian Journal on Applied Mathematics </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%3Azhang.zhengru+cc%3A65" title="Publications in this Field">40</a> </td> <td class="text"> <a href="/classification/?q=cc%3A65" title="Mathematics Subject Classification"> Numerical analysis&nbsp;<span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A35" title="Publications in this Field">29</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations&nbsp;<span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A76" title="Publications in this Field">13</a> </td> <td class="text"> <a href="/classification/?q=cc%3A76" title="Mathematics Subject Classification"> Fluid mechanics&nbsp;<span style="white-space: nowrap;">(76-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A82" title="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&nbsp;<span style="white-space: nowrap;">(82-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A49" title="Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization&nbsp;<span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A92" title="Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences&nbsp;<span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A60" title="Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes&nbsp;<span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A80" title="Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A80" title="Mathematics Subject Classification"> Classical thermodynamics, heat transfer&nbsp;<span style="white-space: nowrap;">(80-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A62" title="Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics&nbsp;<span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A41" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions&nbsp;<span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A70" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems&nbsp;<span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A74" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A74" title="Mathematics Subject Classification"> Mechanics of deformable solids&nbsp;<span style="white-space: nowrap;">(74-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Azhang.zhengru+cc%3A78" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A78" title="Mathematics Subject Classification"> Optics, electromagnetic theory&nbsp;<span style="white-space: nowrap;">(78-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:2001, frequency:2 },{ year:2002, frequency:2 },{ year:2004, frequency:1 },{ year:2006, frequency:3 },{ year:2007, frequency:1 },{ year:2011, frequency:1 },{ year:2012, frequency:3 },{ year:2013, frequency:1 },{ year:2014, frequency:1 },{ year:2015, frequency:2 },{ year:2016, frequency:1 },{ year:2017, frequency:2 },{ year:2018, frequency:3 },{ year:2019, frequency:2 },{ year:2020, frequency:2 },{ year:2021, frequency:4 },{ year:2022, frequency:4 },{ year:2023, frequency:5 },{ year:2024, frequency:5 },{ 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=ai%3Azhang.zhengru+py%3A" + d.year ) .attr( "title", d => d.frequency + " Publication" + (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> <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 968 times in <a href="/?q=ra%3Azhang.zhengru">550 Documents</a> </strong> </th> <th> <a tabindex="0" class="sort_cited">Cited by<span class="pub_ci"> &#9660;</span></a> </th> <th> <a tabindex="0" class="sort_year">Year<span class="pub_py"> &#9660;</span></a> </th> </tr> </thead> <tbody> <tr class="pub_ci"> <td> <a class="black" href="/1234.35274">An adaptive time-stepping strategy for the molecular beam epitaxy models.</a>&nbsp;<a class="label nowrap" href="/1234.35274">Zbl 1234.35274</a> <br><a href="/authors/qiao.zhonghua" title="Author Profile">Qiao, Zhonghua</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a>; <a href="/authors/tang.tao" title="Author Profile">Tang, Tao</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5987068">159</a> </div> </td> <td> <div class="citation_year">2011</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1305.82009">An adaptive time-stepping strategy for solving the phase field crystal model.</a>&nbsp;<a class="label nowrap" href="/1305.82009">Zbl 1305.82009</a> <br><a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a>; <a href="/authors/ma.yuan" title="Author Profile">Ma, Yuan</a>; <a href="/authors/qiao.zhonghua" title="Author Profile">Qiao, Zhonghua</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6360925">81</a> </div> </td> <td> <div class="citation_year">2013</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1388.65072">An adaptive time-stepping strategy for the Cahn-Hilliard equation.</a>&nbsp;<a class="label nowrap" href="/1388.65072">Zbl 1388.65072</a> <br><a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a>; <a href="/authors/qiao.zhonghua" title="Author Profile">Qiao, Zhonghua</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6799152">80</a> </div> </td> <td> <div class="citation_year">2012</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1407.76095">A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection.</a>&nbsp;<a class="label nowrap" href="/1407.76095">Zbl 1407.76095</a> <br><a href="/authors/feng.wenqiang" title="Author Profile">Feng, Wenqiang</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/wise.steven-m" title="Author Profile">Wise, Steven M.</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7023994">62</a> </div> </td> <td> <div class="citation_year">2018</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1423.60052">A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy.</a>&nbsp;<a class="label nowrap" href="/1423.60052">Zbl 1423.60052</a> <br><a href="/authors/dong.lixiu" title="Author Profile">Dong, Lixiu</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/zhang.hui.9" title="Author Profile">Zhang, Hui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7124780">61</a> </div> </td> <td> <div class="citation_year">2019</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/07513797">A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters.</a>&nbsp;<a class="label nowrap" href="/7513797">Zbl 07513797</a> <br><a href="/authors/dong.lixiu" title="Author Profile">Dong, Lixiu</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/wise.steven-m" title="Author Profile">Wise, Steven M.</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7513797">51</a> </div> </td> <td> <div class="citation_year">2021</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1528.65045">A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters.</a>&nbsp;<a class="label nowrap" href="/1528.65045">Zbl 1528.65045</a> <br><a href="/authors/dong.lixiu" title="Author Profile">Dong, Lixiu</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/zhang.hui.9" title="Author Profile">Zhang, Hui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7419121">46</a> </div> </td> <td> <div class="citation_year">2020</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1305.65186">Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection.</a>&nbsp;<a class="label nowrap" href="/1305.65186">Zbl 1305.65186</a> <br><a href="/authors/qiao.zhonghua" title="Author Profile">Qiao, Zhonghua</a>; <a href="/authors/sun.zhizhong" title="Author Profile">Sun, Zhi-Zhong</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6393330">42</a> </div> </td> <td> <div class="citation_year">2015</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1409.82014">Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation.</a>&nbsp;<a class="label nowrap" href="/1409.82014">Zbl 1409.82014</a> <br><a href="/authors/dong.lixiu" title="Author Profile">Dong, Lixiu</a>; <a href="/authors/feng.wenqiang" title="Author Profile">Feng, Wenqiang</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/wise.steven-m" title="Author Profile">Wise, Steven M.</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7041096">41</a> </div> </td> <td> <div class="citation_year">2018</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1473.65219">An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels.</a>&nbsp;<a class="label nowrap" href="/1473.65219">Zbl 1473.65219</a> <br><a href="/authors/yuan.maoqin" title="Author Profile">Yuan, Maoqin</a>; <a href="/authors/chen.wenbin.1" title="Author Profile">Chen, Wenbin</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/wise.steven-m" title="Author Profile">Wise, Steven M.</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7353294">37</a> </div> </td> <td> <div class="citation_year">2021</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1054.65099">Moving mesh methods with locally varying time steps.</a>&nbsp;<a class="label nowrap" href="/1054.65099">Zbl 1054.65099</a> <br><a href="/authors/tan.zhijun" title="Author Profile">Tan, Zhijun</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a>; <a href="/authors/huang.yunqing" title="Author Profile">Huang, Yunqing</a>; <a href="/authors/tang.tao" title="Author Profile">Tang, Tao</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2115216">34</a> </div> </td> <td> <div class="citation_year">2004</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1252.82071">The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model.</a>&nbsp;<a class="label nowrap" href="/1252.82071">Zbl 1252.82071</a> <br><a href="/authors/qiao.zhonghua" title="Author Profile">Qiao, Zhonghua</a>; <a href="/authors/sun.zhizhong" title="Author Profile">Sun, Zhi-Zhong</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6101206">32</a> </div> </td> <td> <div class="citation_year">2012</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1349.76469">An energy-stable finite-difference scheme for the binary fluid-surfactant system.</a>&nbsp;<a class="label nowrap" href="/1349.76469">Zbl 1349.76469</a> <br><a href="/authors/gu.shuting" title="Author Profile">Gu, Shuting</a>; <a href="/authors/zhang.hui.9" title="Author Profile">Zhang, Hui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6660265">30</a> </div> </td> <td> <div class="citation_year">2014</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1194.76271">An adaptive phase field method for the mixture of two incompressible fluids.</a>&nbsp;<a class="label nowrap" href="/1194.76271">Zbl 1194.76271</a> <br><a href="/authors/zhang.zhengru" title="Author 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Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7567535">6</a> </div> </td> <td> <div class="citation_year">2022</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1527.65116">A BDF2 energy-stable scheme for the binary fluid-surfactant hydrodynamic model.</a>&nbsp;<a class="label nowrap" href="/1527.65116">Zbl 1527.65116</a> <br><a href="/authors/qin.yuzhe" title="Author Profile">Qin, Yuzhe</a>; <a href="/authors/chen.rui" title="Author Profile">Chen, Rui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7780566">4</a> </div> </td> <td> <div class="citation_year">2022</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1503.65190">High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow.</a>&nbsp;<a class="label nowrap" href="/1503.65190">Zbl 1503.65190</a> <br><a href="/authors/xia.zeyu" title="Author Profile">Xia, Zeyu</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/xu.liwei" title="Author Profile">Xu, Liwei</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7403084">1</a> </div> </td> <td> <div class="citation_year">2022</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/07513797">A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters.</a>&nbsp;<a class="label nowrap" href="/7513797">Zbl 07513797</a> <br><a href="/authors/dong.lixiu" title="Author Profile">Dong, Lixiu</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/wise.steven-m" title="Author Profile">Wise, Steven M.</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7513797">51</a> </div> </td> <td> <div class="citation_year">2021</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1473.65219">An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels.</a>&nbsp;<a class="label nowrap" href="/1473.65219">Zbl 1473.65219</a> <br><a href="/authors/yuan.maoqin" title="Author Profile">Yuan, Maoqin</a>; <a href="/authors/chen.wenbin.1" title="Author Profile">Chen, Wenbin</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/wise.steven-m" title="Author Profile">Wise, Steven M.</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7353294">37</a> </div> </td> <td> <div class="citation_year">2021</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1468.65119">Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model.</a>&nbsp;<a class="label nowrap" href="/1468.65119">Zbl 1468.65119</a> <br><a href="/authors/zhang.juan.8" title="Author Profile">Zhang, Juan</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/wise.steven-m" title="Author Profile">Wise, Steven M.</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7340710">25</a> </div> </td> <td> <div class="citation_year">2021</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1499.65424">A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system.</a>&nbsp;<a class="label nowrap" href="/1499.65424">Zbl 1499.65424</a> <br><a href="/authors/qin.yuzhe" title="Author Profile">Qin, Yuzhe</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7455342">22</a> </div> </td> <td> <div class="citation_year">2021</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1528.65045">A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters.</a>&nbsp;<a class="label nowrap" href="/1528.65045">Zbl 1528.65045</a> <br><a href="/authors/dong.lixiu" title="Author Profile">Dong, Lixiu</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/zhang.hui.9" title="Author Profile">Zhang, Hui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7419121">46</a> </div> </td> <td> <div class="citation_year">2020</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1528.65051">Fully decoupled, linear and unconditionally energy stable schemes for the binary fluid-surfactant model.</a>&nbsp;<a class="label nowrap" href="/1528.65051">Zbl 1528.65051</a> <br><a href="/authors/qin.yuzhe" title="Author Profile">Qin, Yuzhe</a>; <a href="/authors/xu.zhen" title="Author Profile">Xu, Zhen</a>; <a href="/authors/zhang.hui.9" title="Author Profile">Zhang, Hui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7419138">14</a> </div> </td> <td> <div class="citation_year">2020</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1423.60052">A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy.</a>&nbsp;<a class="label nowrap" href="/1423.60052">Zbl 1423.60052</a> <br><a href="/authors/dong.lixiu" title="Author Profile">Dong, Lixiu</a>; <a href="/authors/wang.cheng.1" title="Author Profile">Wang, Cheng</a>; <a href="/authors/zhang.hui.9" title="Author Profile">Zhang, Hui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7124780">61</a> </div> </td> <td> <div class="citation_year">2019</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1468.65099">Motion of singularities in the heat flow of harmonic maps into a sphere.</a>&nbsp;<a class="label nowrap" href="/1468.65099">Zbl 1468.65099</a> <br><a href="/authors/luo.chunmei" title="Author Profile">Luo, Chunmei</a>; <a href="/authors/zhang.hui.9" title="Author Profile">Zhang, Hui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7338206">1</a> </div> </td> <td> <div class="citation_year">2019</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1407.76095">A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope 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Profile">Wang, Cheng</a>; <a href="/authors/wise.steven-m" title="Author Profile">Wise, Steven M.</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7041096">41</a> </div> </td> <td> <div class="citation_year">2018</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1412.65083">On multiscale ADI methods for parabolic PDEs with a discontinuous coefficient.</a>&nbsp;<a class="label nowrap" href="/1412.65083">Zbl 1412.65083</a> <br><a href="/authors/li.zhilin.1" title="Author Profile">Li, Zhilin</a>; <a href="/authors/chen.xiaohong.3" title="Author Profile">Chen, Xiaohong</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7033856">6</a> </div> </td> <td> <div class="citation_year">2018</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1371.35143">Error analysis of a finite 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Hui</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6795457">1</a> </div> </td> <td> <div class="citation_year">2017</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1488.65319">On a large time-stepping method for the Swift-Hohenberg equation.</a>&nbsp;<a class="label nowrap" href="/1488.65319">Zbl 1488.65319</a> <br><a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a>; <a href="/authors/ma.yuanzi" title="Author Profile">Ma, Yuanzi</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A7405088">15</a> </div> </td> <td> <div class="citation_year">2016</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1305.65186">Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection.</a>&nbsp;<a class="label nowrap" href="/1305.65186">Zbl 1305.65186</a> <br><a 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title="Author Profile">Sun, Zhi-Zhong</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6101206">32</a> </div> </td> <td> <div class="citation_year">2012</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1235.70031">A direct eigenanalysis of multibody system in equilibrium.</a>&nbsp;<a class="label nowrap" href="/1235.70031">Zbl 1235.70031</a> <br><a href="/authors/yang.cheng" title="Author Profile">Yang, Cheng</a>; <a href="/authors/cao.dazhi" title="Author Profile">Cao, Dazhi</a>; <a href="/authors/zhao.zhihua" title="Author Profile">Zhao, Zhihua</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a>; <a href="/authors/ren.gexue" title="Author Profile">Ren, Gexue</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6021726">3</a> </div> </td> <td> <div class="citation_year">2012</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" 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class="citation_year">2007</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1115.76363">Moving mesh method with conservative interpolation based on \(L^{2}\)-projection.</a>&nbsp;<a class="label nowrap" href="/1115.76363">Zbl 1115.76363</a> <br><a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Z.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5176982">9</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1087.65089">A simple moving mesh method for one- and two-dimensional phase-field equations.</a>&nbsp;<a class="label nowrap" href="/1087.65089">Zbl 1087.65089</a> <br><a href="/authors/tan.zhijun" title="Author Profile">Tan, Zhijun</a>; <a href="/authors/tang.tao" title="Author Profile">Tang, Tao</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5015180">8</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1054.65099">Moving mesh methods with locally varying time steps.</a>&nbsp;<a class="label nowrap" href="/1054.65099">Zbl 1054.65099</a> <br><a href="/authors/tan.zhijun" title="Author Profile">Tan, Zhijun</a>; <a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zhengru</a>; <a href="/authors/huang.yunqing" title="Author Profile">Huang, Yunqing</a>; <a href="/authors/tang.tao" title="Author Profile">Tang, Tao</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2115216">34</a> </div> </td> <td> <div class="citation_year">2004</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1008.65091">An adaptive mesh redistribution algorithm for convection-dominated problems.</a>&nbsp;<a class="label nowrap" href="/1008.65091">Zbl 1008.65091</a> <br><a href="/authors/zhang.zhengru" title="Author Profile">Zhang, Zheng-Ru</a>; <a href="/authors/tang.tao" title="Author Profile">Tang, Tao</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1833226">17</a> </div> </td> <td> <div class="citation_year">2002</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 711 Authors</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.cheng.1" title="Citing Publications by this Author">49</a> </td> <td class="text"> <a href="/authors/wang.cheng.1" title="Author Profile"> Wang, Cheng </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Akim.junseok" title="Citing Publications by this Author">36</a> </td> <td class="text"> <a href="/authors/kim.junseok" title="Author Profile"> Kim, Junseok </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ayang.junxiang" title="Citing Publications by this Author">33</a> </td> <td class="text"> <a href="/authors/yang.junxiang" title="Author Profile"> Yang, Junxiang </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aqiao.zhonghua" title="Citing Publications by this Author">32</a> </td> <td class="text"> <a href="/authors/qiao.zhonghua" title="Author Profile"> Qiao, Zhonghua </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awise.steven-m" title="Citing Publications by this Author">30</a> </td> <td class="text"> <a href="/authors/wise.steven-m" title="Author Profile"> Wise, Steven M. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Azhang.zhengru" title="Citing Publications by this Author">30</a> </td> <td class="text"> <a href="/authors/zhang.zhengru" title="Author Profile"> Zhang, Zhengru </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Achen.wenbin.1" title="Citing Publications by this Author">22</a> </td> <td class="text"> <a href="/authors/chen.wenbin.1" title="Author Profile"> Chen, Wenbin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Azhao.jia" title="Citing Publications by this Author">20</a> </td> <td class="text"> <a href="/authors/zhao.jia" title="Author Profile"> Zhao, Jia </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ayang.xiaofeng" title="Citing Publications by this Author">19</a> </td> <td class="text"> <a href="/authors/yang.xiaofeng" title="Author Profile"> Yang, Xiaofeng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aliao.honglin" title="Citing Publications by this Author">18</a> </td> <td class="text"> <a href="/authors/liao.honglin" title="Author Profile"> Liao, HongLin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Agong.yuezheng" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/gong.yuezheng" title="Author Profile"> Gong, Yuezheng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Atan.zhijun" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/tan.zhijun" title="Author Profile"> Tan, Zhijun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Atang.tao" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/tang.tao" title="Author Profile"> Tang, Tao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Afeng.xinlong" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/feng.xinlong" title="Author Profile"> Feng, Xinlong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ali.yibao" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/li.yibao" title="Author Profile"> Li, Yibao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aju.lili" title="Citing Publications by this Author">14</a> </td> <td class="text"> <a href="/authors/ju.lili" title="Author Profile"> Ju, Lili </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ali.xiao.2" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/li.xiao.2" title="Author Profile"> Li, Xiao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.qi" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/wang.qi" title="Author Profile"> Wang, Qi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ashen.jie" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/shen.jie" title="Author Profile"> Shen, Jie </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Asun.shuyu" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/sun.shuyu" title="Author Profile"> Sun, Shuyu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ahou.dianming" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/hou.dianming" title="Author Profile"> Hou, Dianming </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Akou.jisheng" title="Citing Publications by this Author">10</a> </td> <td class="text"> <a href="/authors/kou.jisheng" title="Author Profile"> Kou, Jisheng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.xiaoming" title="Citing Publications by this Author">10</a> </td> <td class="text"> <a href="/authors/wang.xiaoming" title="Author Profile"> Wang, Xiaoming </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Azhang.jun.11" title="Citing Publications by this Author">10</a> </td> <td class="text"> <a href="/authors/zhang.jun.11" title="Author Profile"> Zhang, Jun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Azhang.hui.9" title="Citing Publications by this Author">9</a> </td> <td class="text"> <a href="/authors/zhang.hui.9" title="Author Profile"> Zhang, Hui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Adong.lixiu" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/dong.lixiu" title="Author Profile"> Dong, Lixiu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ahong.qi" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/hong.qi" title="Author Profile"> Hong, Qi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aji.bingquan" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/ji.bingquan" title="Author Profile"> Ji, Bingquan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ajia.hongen" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/jia.hongen" title="Author Profile"> Jia, Hongen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aliu.chun" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/liu.chun" title="Author Profile"> Liu, Chun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Amei.liquan" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/mei.liquan" title="Author Profile"> Mei, Liquan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Axiao.xufeng" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/xiao.xufeng" title="Author Profile"> Xiao, Xufeng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Azhou.shenggao" title="Citing Publications by this Author">8</a> </td> <td class="text"> <a href="/authors/zhou.shenggao" title="Author Profile"> Zhou, Shenggao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ahe.xiaoming.1" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/he.xiaoming.1" title="Author Profile"> He, Xiaoming </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ahou.yanren" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/hou.yanren" title="Author Profile"> Hou, Yanren </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Alee.hyun-geun" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/lee.hyun-geun" title="Author Profile"> Lee, Hyun Geun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Atang.huazhong" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/tang.huazhong" title="Author Profile"> Tang, Huazhong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.danxia" title="Citing Publications by this Author">7</a> </td> <td class="text"> <a href="/authors/wang.danxia" title="Author Profile"> Wang, Danxia </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Achen.rui" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/chen.rui" title="Author Profile"> Chen, Rui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Acheng.kelong" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/cheng.kelong" title="Author Profile"> Cheng, Kelong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ajing.jianyu" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/jing.jianyu" title="Author Profile"> Jing, Jianyu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aqi.longzhao" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/qi.longzhao" title="Author Profile"> Qi, Longzhao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Asun.hong" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/sun.hong" title="Author Profile"> Sun, Hong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Axu.chuanju" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/xu.chuanju" title="Author Profile"> Xu, Chuanju </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Axu.jie.5" title="Citing Publications by this Author">6</a> </td> <td class="text"> <a href="/authors/xu.jie.5" title="Author Profile"> Xu, Jie </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Achoi.yongho" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/choi.yongho" title="Author Profile"> Choi, Yongho </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Afeng.wenqiang" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/feng.wenqiang" title="Author Profile"> Feng, Wenqiang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Agao.yali" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/gao.yali" title="Author Profile"> Gao, Yali </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aguo.ruihan" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/guo.ruihan" title="Author Profile"> Guo, Ruihan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ahan.daozhi" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/han.daozhi" title="Author Profile"> Han, Daozhi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Alin.ping" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/lin.ping" title="Author Profile"> Lin, Ping </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aliu.qianqian" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/liu.qianqian" title="Author Profile"> Liu, Qianqian </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Alowengrub.john-s" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/lowengrub.john-s" title="Author Profile"> Lowengrub, John Samuel </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Asun.zhizhong" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/sun.zhizhong" title="Author Profile"> Sun, Zhizhong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.jindi" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/wang.jindi" title="Author Profile"> Wang, Jindi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.xingxing" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/wang.xingxing" title="Author Profile"> Wang, XingXing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Axia.binhu" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/xia.binhu" title="Author Profile"> Xia, Binhu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ayang.jiang" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/yang.jiang" title="Author Profile"> Yang, Jiang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ayue.xingye" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/yue.xingye" title="Author Profile"> Yue, Xingye </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Azhang.chenhui" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/zhang.chenhui" title="Author Profile"> Zhang, Chenhui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Azhang.hong.6" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/zhang.hong.6" title="Author Profile"> Zhang, Hong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Azhou.tao" title="Citing Publications by this Author">5</a> </td> <td class="text"> <a href="/authors/zhou.tao" title="Author Profile"> Zhou, Tao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Abudd.chris-j" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/budd.chris-j" title="Author Profile"> Budd, Christopher John </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Achen.lizhen.1" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/chen.lizhen.1" title="Author Profile"> Chen, Lizhen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Acheng.qing" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/cheng.qing" title="Author Profile"> Cheng, Qing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ahuang.qiumei" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/huang.qiumei" title="Author Profile"> Huang, Qiumei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ahuang.shijie" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/huang.shijie" title="Author Profile"> Huang, Shijie </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Alee.june-yub" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/lee.june-yub" title="Author Profile"> Lee, June-Yub </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ali.weijia" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/li.weijia" title="Author Profile"> Li, Weijia </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ali.xiaoli.1" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/li.xiaoli.1" title="Author Profile"> Li, Xiaoli </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aliu.hailiang" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/liu.hailiang" title="Author Profile"> Liu, Hailiang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aomrani.khaled" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/omrani.khaled" title="Author Profile"> Omrani, Khaled </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aouyang.jie" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/ouyang.jie" title="Author Profile"> Ouyang, Jie </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aqian.xu" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/qian.xu" title="Author Profile"> Qian, Xu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Aqin.yuzhe" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/qin.yuzhe" title="Author Profile"> Qin, Yuzhe </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Ashin.jaemin" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/shin.jaemin" title="Author Profile"> Shin, Jaemin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Asong.songhe" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/song.songhe" title="Author Profile"> Song, Songhe </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.shufen" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/wang.shufen" title="Author Profile"> Wang, Shufen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.xiuhua" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/wang.xiuhua" title="Author Profile"> Wang, Xiuhua </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.yiwei" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/wang.yiwei" title="Author Profile"> Wang, Yiwei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Awang.yushun" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/wang.yushun" title="Author Profile"> Wang, Yushun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Axia.qing" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/xia.qing" title="Author Profile"> Xia, Qing </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Axu.yan" title="Citing Publications by this Author">4</a> </td> <td class="text"> <a href="/authors/xu.yan" title="Author Profile"> Xu, Yan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+ai%3Axu.zhen" 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Classification"> Numerical analysis&nbsp;<span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A35" title="Citing Publications in this Field">335</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations&nbsp;<span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A76" title="Citing Publications in this Field">169</a> </td> <td class="text"> <a href="/classification/?q=cc%3A76" title="Mathematics Subject Classification"> Fluid mechanics&nbsp;<span style="white-space: nowrap;">(76-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A82" title="Citing Publications in this Field">63</a> </td> <td class="text"> <a href="/classification/?q=cc%3A82" title="Mathematics Subject Classification"> Statistical mechanics, structure of matter&nbsp;<span style="white-space: nowrap;">(82-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A74" title="Citing Publications in this Field">54</a> </td> <td class="text"> <a href="/classification/?q=cc%3A74" title="Mathematics Subject Classification"> Mechanics of deformable solids&nbsp;<span style="white-space: nowrap;">(74-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A49" title="Citing Publications in this Field">24</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization&nbsp;<span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A80" title="Citing Publications in this Field">20</a> </td> <td class="text"> <a href="/classification/?q=cc%3A80" title="Mathematics Subject Classification"> Classical thermodynamics, heat transfer&nbsp;<span style="white-space: nowrap;">(80-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A92" title="Citing Publications in this Field">16</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences&nbsp;<span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A26" title="Citing Publications in this Field">14</a> </td> <td class="text"> <a href="/classification/?q=cc%3A26" title="Mathematics Subject Classification"> Real functions&nbsp;<span style="white-space: nowrap;">(26-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A37" title="Citing Publications in this Field">10</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory&nbsp;<span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A41" title="Citing Publications in this Field">8</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions&nbsp;<span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A34" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A34" title="Mathematics Subject Classification"> Ordinary differential equations&nbsp;<span style="white-space: nowrap;">(34-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A45" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A45" title="Mathematics Subject Classification"> Integral equations&nbsp;<span style="white-space: nowrap;">(45-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A60" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes&nbsp;<span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A68" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science&nbsp;<span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A78" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A78" title="Mathematics Subject Classification"> Optics, electromagnetic theory&nbsp;<span style="white-space: nowrap;">(78-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A81" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A81" title="Mathematics Subject Classification"> Quantum theory&nbsp;<span style="white-space: nowrap;">(81-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A86" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A86" title="Mathematics Subject Classification"> Geophysics&nbsp;<span style="white-space: nowrap;">(86-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A94" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A94" title="Mathematics Subject Classification"> Information and communication theory, circuits&nbsp;<span style="white-space: nowrap;">(94-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A70" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems&nbsp;<span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A85" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A85" title="Mathematics Subject Classification"> Astronomy and astrophysics&nbsp;<span style="white-space: nowrap;">(85-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A93" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control&nbsp;<span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A31" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A31" title="Mathematics Subject Classification"> Potential theory&nbsp;<span style="white-space: nowrap;">(31-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A33" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A33" title="Mathematics Subject Classification"> Special functions&nbsp;<span style="white-space: nowrap;">(33-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A42" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A42" title="Mathematics Subject Classification"> Harmonic analysis on Euclidean spaces&nbsp;<span 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nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Azhang.zhengru+cc%3A90" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming&nbsp;<span style="white-space: nowrap;">(90-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:2004, frequency:1 },{ year:2006, frequency:2 },{ year:2007, frequency:8 },{ year:2008, frequency:7 },{ year:2009, frequency:3 },{ year:2010, frequency:2 },{ year:2011, frequency:4 },{ year:2012, frequency:3 },{ year:2013, frequency:7 },{ year:2014, frequency:11 },{ year:2015, frequency:13 },{ year:2016, frequency:19 },{ year:2017, frequency:21 },{ year:2018, frequency:22 },{ year:2019, frequency:30 },{ year:2020, frequency:53 },{ year:2021, frequency:66 },{ year:2022, frequency:82 },{ year:2023, frequency:88 },{ year:2024, frequency:82 },{ year:2025, frequency:26 }]; 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%3Azhang.zhengru+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"> &copy; 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 &amp; 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">&nbsp;<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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