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data-type="input" value="la">Languages</option> <option data-type="input" value="si">swMATH ID</option> <option data-type="input" value="cc">Main Fields</option> <option data-type="input" value="kw">Keywords</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="sw" selected>Software Name</option> <option data-type="input" value="au">Software Authors</option> <option data-type="input" value="ab">Description</option> <option data-type="input" value="la">Languages</option> <option data-type="input" value="si">swMATH ID</option> <option data-type="input" value="cc">Main Fields</option> <option data-type="input" value="kw">Keywords</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="sw">Software Name</option> <option data-type="input" value="au" selected>Software Authors</option> <option data-type="input" value="ab">Description</option> <option data-type="input" value="la">Languages</option> <option data-type="input" value="si">swMATH ID</option> <option data-type="input" value="cc">Main Fields</option> <option data-type="input" value="kw">Keywords</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 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="software" method="GET" action="/software/"> <div class="software 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="si:6437" aria-label="Search for software" placeholder="Search for software" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>description</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>author</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>msc</a></li> <li><a href="#"><span class="token item">pl:</span><span> </span>programming language</a></li> <li><a href="#"><span class="token item">si:</span><span> </span>software ID</a></li> <li><a href="#"><span class="token item">sw:</span><span> </span>name</a></li> <li><a href="#"><span class="token item">ut:</span><span> </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=sw%3ASage%2A">sw:Sage*</a></span> <span class="search-explanation" role="cell" role="cell">Search for a specific <strong>s</strong>oft<strong>w</strong>are package containing the sequence <em>Sage</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=ab%3Ageometry+%26+ut%3AORMS">ab:geometry & ut:ORMS</a></span> <span class="search-explanation" role="cell" role="cell">Search for software packages with the word <em>geometry</em> in the description(<strong>ab</strong>), and which have the keyword(<strong>ut</strong>) <em>ORMS</em> ( Oberwolfach Registry of Mathematical Software).The operator <strong>&</strong> is the default and may be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=cc%3A13+%7C+14">cc:13 | 14</a></span> <span class="search-explanation" role="cell" role="cell">Search for software packages which are cited(<strong>cc</strong>) by articles belonging to the <strong><u>c</u>lassification <u>c</u>ode</strong> sections <em>13</em> and <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=GAP+au%3AEick">GAP au:Eick</a></span> <span class="search-explanation" role="cell" role="cell">Search for <em>GAP</em> in the <strong>any</strong> index (which also includes dependencies) and by software <strong><u>au</u>thor</strong> containing the sequence <em>Eick</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=pl%3AJava+%26+ab%3AR">pl:Java & ab:R</a></span> <span class="search-explanation" role="cell" role="cell">Search for software package in the <strong><u>p</u>rogramming <u>l</u>anguage</strong> Java whose description text(<strong>ab</strong>) contains <em>R</em></span> </div> </div> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ab</strong> </span> <span class="search-explanation" role="cell" role="cell"> Text from the description </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"> Name(s) of the author(s) </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 software (given by first two MSC digits) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>pl</strong> </span> <span class="search-explanation" role="cell" role="cell"> Programming language the software is written in </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>si</strong> </span> <span class="search-explanation" role="cell" role="cell"> swMATH software ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>sw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Software name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ut</strong> </span> <span class="search-explanation" role="cell" role="cell"> Keywords </span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Operators</h2> <div id="operators-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a & b</strong></span> <span class="search-explanation" role="cell" role="cell">logical and</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a | b</strong></span> <span class="search-explanation" role="cell" role="cell">logical or</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>!ab</strong></span> <span class="search-explanation" role="cell" role="cell">logical not</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>abc*</strong></span> <span class="search-explanation" role="cell" role="cell">right wildcard</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>ab c</strong></span> <span class="search-explanation" role="cell" role="cell">phrase</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>(ab c)</strong></span> <span class="search-explanation" role="cell" role="cell">parentheses</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> </div><div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="software"> <div class="content-main"> <article> <div class="head"> <h2>CasADi</h2> </div> <div class="text"> <table> <tr> <td>swMATH ID:</td> <td> 6437 </td> </tr> <tr> <td>Software Authors:</td> <td> <div class="author"><a href="/authors/andersson.joel-a-e" title="Author Profile">Andersson, Joel</a>; <a href="/authors/akesson.johan" title="Author Profile">脜kesson, Johan</a>; <a href="/authors/diehl.moritz-mathias" title="Author Profile">Diehl, Moritz</a></div> </td> </tr> <tr> <td>Description:</td> <td>CasADi: A symbolic package for automatic differentiation and optimal control. We present CasADi, a free, open-source software tool for fast, yet efficient solution of nonlinear optimization problems in general and dynamic optimization problems in particular. To the developer of algorithms for numerical optimization and to the advanced user of such algorithms, it offers a level of abstraction which is notably lower, and hence more flexible, than that of algebraic modeling languages such as AMPL or GAMS, but higher than working with a conventional automatic differentiation (AD) tool. par CasADi is best described as a minimalistic computer algebra system (CAS) implementing automatic differentiation in eight different flavors. Similar to algebraic modeling languages, it includes high-level interfaces to state-of-the-art numerical codes for nonlinear programming, quadratic programming and integration of differential-algebraic equations. CasADi is implemented in self-contained C++ code and contains full-featured front-ends to Python and Octave for rapid prototyping. In this paper, we present the AD framework of CasADi and benchmark the tool against AMPL for a set of nonlinear programming problems from the CUTEr test suite.</td> </tr> <tr> <td>Homepage:</td> <td> <a href="http://sourceforge.net/apps/trac/casadi/">http://sourceforge.net/apps/trac/casadi/</a> </td> </tr> <tr> <td>Keywords:</td> <td> <a href="/software/?q=ut%3Aautomatic+differentiation">automatic differentiation</a>; <a href="/software/?q=ut%3Adynamic+optimization">dynamic optimization</a>; <a href="/software/?q=ut%3Aoptimal+control">optimal control</a>; <a href="/software/?q=ut%3Anonlinear+programming">nonlinear programming</a>; <a href="/software/?q=ut%3Asource+code+transformation">source code transformation</a>; <a href="/software/?q=ut%3Aoperator+overloading">operator overloading</a>; <a href="/software/?q=ut%3AC%2B%2B">C++</a>; <a href="/software/?q=ut%3APython">Python</a>; <a href="/software/?q=ut%3AOctave">Octave</a> </td> </tr> <tr> <td>Related Software:</td> <td> <a href="/software/4808">Ipopt</a>; <a href="/software/23170">GitHub</a>; <a href="/software/558">Matlab</a>; <a href="/software/418">HSL</a>; <a href="/software/5107">qpOASES</a>; <a href="/software/927">SUNDIALS</a>; <a href="/software/7737">SOCS</a>; <a href="/software/4764">ACADO</a>; <a href="/software/5853">GPOPS</a>; <a href="/software/22205">Adam</a>; <a href="/software/2300">SNOPT</a>; <a href="/software/14460">Python</a>; <a href="/software/20939">PyTorch</a>; <a href="/software/4595">YALMIP</a>; <a href="/software/4105">Gurobi</a>; <a href="/software/26961">acados</a>; <a href="/software/4112">RODAS</a>; <a href="/software/4352">Modelica</a>; <a href="/software/4910">Pyomo</a>; <a href="/software/26960">OSQP</a> </td> </tr> <tr class="indexed"> <td>Cited in:</td> <td> <a href="/?q=si%3A6437">165 Documents</a> </td> </tr> </table> </div> <div class="profile"> <div class="standard_articles publications"> <h3 style="margin-bottom: 0"> Standard Articles </h3> <table> <thead> <tr> <th> <strong> 2 Publications describing the Software, including <a href="/?q=an%3A7050494%7C6086561">2 Publications in zbMATH </a></strong> </th> <th> Year </th> </tr> </thead> <tbody> <tr> <td> <a class="black" href="/1411.90004">CasADi: a software framework for nonlinear optimization and optimal control.</a> <a class="label" href="/1411.90004">Zbl 1411.90004</a><br><a href="/authors/andersson.joel-a-e" title="Author Profile">Andersson, Joel A. E.</a>; <a href="/authors/gillis.joris-j-m" title="Author Profile">Gillis, Joris</a>; <a href="/authors/horn.greg" title="Author Profile">Horn, Greg</a>; <a href="/authors/rawlings.james-b.1" title="Author Profile">Rawlings, James B.</a>; <a href="/authors/diehl.moritz-mathias" title="Author Profile">Diehl, Moritz</a> </td> <td> <div class="citation_year">2019</div> </td> </tr> <tr> <td> <a class="black" href="/1251.65020">CasADi: a symbolic package for automatic differentiation and optimal control.</a> <a class="label" href="/1251.65020">Zbl 1251.65020</a><br><a href="/authors/andersson.joel-a-e" title="Author Profile">Andersson, Joel</a>; <a href="/authors/akesson.johan" title="Author Profile">脜kesson, Johan</a>; <a href="/authors/diehl.moritz-mathias" title="Author Profile">Diehl, Moritz</a> </td> <td> <div class="citation_year">2012</div> </td> </tr> </tbody> </table> </div> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" 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Zeitschrift f眉r Angewandte Mathematik und Mechanik </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A2448" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2448" title="Serial Profile"> Chaos </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A2462" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2462" title="Serial Profile"> Fractional Calculus & Applied Analysis </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A2671" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2671" title="Serial Profile"> Optimization and Engineering </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A2997" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2997" title="Serial Profile"> SIAM Journal on Applied Dynamical Systems </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A3293" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A3293" title="Serial Profile"> Journal of Industrial and Management Optimization </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A4549" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A4549" title="Serial Profile"> Lecture Notes in Computational Science and Engineering </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A4965" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A4965" title="Serial Profile"> Journal of Physics A: Mathematical and Theoretical </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A6778" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A6778" title="Serial Profile"> International Journal of Differential Equations </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A7188" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7188" title="Serial Profile"> Operations Research and Decisions </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A7293" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7293" title="Serial Profile"> Dynamic Games and Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A7990" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7990" title="Serial Profile"> Evolution Equations and Control Theory </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A8390" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8390" title="Serial Profile"> Control Theory and Technology </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A8625" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8625" title="Serial Profile"> European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A9934" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A9934" title="Serial Profile"> OJMO. Open Journal of Mathematical Optimization </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+se%3A10177" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A10177" title="Serial Profile"> Russian Journal of Nonlinear Dynamics </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>Cited in 22 Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=si%3A6437+cc%3A93" title="Citing Publications in this Field">94</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control <span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A6437+cc%3A49" title="Citing Publications in this Field">52</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A6437+cc%3A90" title="Citing Publications in this Field">34</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming <span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A6437+cc%3A65" title="Citing Publications in this Field">21</a> </td> <td class="text"> <a href="/classification/?q=cc%3A65" title="Mathematics Subject Classification"> Numerical analysis <span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A6437+cc%3A92" title="Citing Publications in this Field">17</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences <span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A70" title="Citing Publications in this Field">15</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems <span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A68" title="Citing Publications in this Field">13</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science <span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A34" title="Citing Publications in this Field">8</a> </td> <td class="text"> <a href="/classification/?q=cc%3A34" title="Mathematics Subject Classification"> Ordinary differential equations <span style="white-space: nowrap;">(34-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A91" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A91" title="Mathematics Subject Classification"> Game theory, economics, finance, and other social and behavioral sciences <span style="white-space: nowrap;">(91-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A35" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations <span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A74" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A74" title="Mathematics Subject Classification"> Mechanics of deformable solids <span style="white-space: nowrap;">(74-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A37" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory <span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A62" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics <span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+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 <span style="white-space: nowrap;">(94-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A60" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes <span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A78" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A78" title="Mathematics Subject Classification"> Optics, electromagnetic theory <span style="white-space: nowrap;">(78-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A00" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A00" title="Mathematics Subject Classification"> General and overarching topics; collections <span style="white-space: nowrap;">(00-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A15" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A15" title="Mathematics Subject Classification"> Linear and multilinear algebra; matrix theory <span style="white-space: nowrap;">(15-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A41" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions <span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A47" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A47" title="Mathematics Subject Classification"> Operator theory <span style="white-space: nowrap;">(47-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A76" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A76" title="Mathematics Subject Classification"> Fluid mechanics <span style="white-space: nowrap;">(76-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A6437+cc%3A80" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A80" title="Mathematics Subject Classification"> Classical thermodynamics, heat transfer <span style="white-space: nowrap;">(80-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Citations by Year</h3> <div class="diagram si-diagram" aria-label="citing 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(".si-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:2012, frequency:2 },{ year:2014, frequency:1 },{ year:2015, frequency:1 },{ year:2017, frequency:3 },{ year:2018, frequency:4 },{ year:2019, frequency:3 },{ year:2020, frequency:12 },{ year:2021, frequency:23 },{ year:2022, frequency:26 },{ year:2023, frequency:37 },{ year:2024, frequency:46 },{ year:2025, frequency:7 }]; 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=si%3A6437+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> </article> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>