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<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div><hr/><h1 class="libdoc">NAG Library Chapter Contents<br/><br/>D02 &#8211; Ordinary Differential Equations</h1>
<h3 class="standard"><a class="chapint" href="../D02/d02intro.xml">D02 Chapter Introduction</a><br/><a class="chapint" href="../D02/d02mnintro.xml">D02M&#8211;N Sub-chapter Introduction</a></h3>
<div class="left-tablediv"><table class="contents"><tbody>
<tr>
<td class="contents" valign="top" align="left"><b>Routine<br/>Name</b></td>
<td class="contents" valign="top" align="center"><b>Mark of<br/>Introduction</b></td>
<td class="contents" valign="top" align="left"><br/><b>Purpose</b></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02agf.xml">D02AGF</a>
<br/><a class="tocexample" href="../../examples/source/d02agfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02agf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">2</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, boundary value problem, shooting and matching technique, allowing interior matching point, general parameters to be determined</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02bgf.xml">D02BGF</a>
<br/><a class="tocexample" href="../../examples/source/d02bgfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Runge&#8211;Kutta&#8211;Merson method, until a component attains given value (simple driver)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02bhf.xml">D02BHF</a>
<br/><a class="tocexample" href="../../examples/source/d02bhfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Runge&#8211;Kutta&#8211;Merson method, until function of solution is zero (simple driver)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02bjf.xml">D02BJF</a>
<br/><a class="tocexample" href="../../examples/source/d02bjfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02bjf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">18</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Runge&#8211;Kutta method, until function of solution is zero, integration over range with intermediate output (simple driver)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02cjf.xml">D02CJF</a>
<br/><a class="tocexample" href="../../examples/source/d02cjfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02cjf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Adams method, until function of solution is zero, intermediate output (simple driver)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02ejf.xml">D02EJF</a>
<br/><a class="tocexample" href="../../examples/source/d02ejfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02ejf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, stiff initial value problem, backward diffential formulae method, until function of solution is zero, intermediate output (simple driver)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02gaf.xml">D02GAF</a>
<br/><a class="tocexample" href="../../examples/source/d02gafe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02gaf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, simple nonlinear problem</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02gbf.xml">D02GBF</a>
<br/><a class="tocexample" href="../../examples/source/d02gbfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02gbf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, boundary value problem, finite difference technique with deferred correction, general linear problem</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02haf.xml">D02HAF</a>
<br/><a class="tocexample" href="../../examples/source/d02hafe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02haf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, boundary value problem, shooting and matching, boundary values to be determined</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02hbf.xml">D02HBF</a>
<br/><a class="tocexample" href="../../examples/source/d02hbfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02hbf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, boundary value problem, shooting and matching, general parameters to be determined</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02jaf.xml">D02JAF</a>
<br/><a class="tocexample" href="../../examples/source/d02jafe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02jaf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, boundary value problem, collocation and least-squares, single <m:math><m:mi>n</m:mi></m:math>th-order linear equation</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02jbf.xml">D02JBF</a>
<br/><a class="tocexample" href="../../examples/source/d02jbfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02jbf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, boundary value problem, collocation and least-squares, system of first-order linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02kaf.xml">D02KAF</a>
<br/><a class="tocexample" href="../../examples/source/d02kafe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Second-order Sturm&#8211;Liouville problem, regular system, finite range, eigenvalue only</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02kdf.xml">D02KDF</a>
<br/><a class="tocexample" href="../../examples/source/d02kdfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Second-order Sturm&#8211;Liouville problem, regular/singular system, finite/infinite range, eigenvalue only, user-specified break-points</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02kef.xml">D02KEF</a>
<br/><a class="tocexample" href="../../examples/source/d02kefe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02kef.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Second-order Sturm&#8211;Liouville problem, regular/singular system, finite/infinite range, eigenvalue and eigenfunction, user-specified break-points</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02laf.xml">D02LAF</a>
<br/><a class="tocexample" href="../../examples/source/d02lafe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02laf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Second-order ordinary differential equations, initial value problem, Runge&#8211;Kutta&#8211;Nystrom method</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02lxf.xml">D02LXF</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Second-order ordinary differential equations, initial value problem, setup for <a class="rout" href="../D02/d02laf.xml">D02LAF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02lyf.xml">D02LYF</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Second-order ordinary differential equations, initial value problem, diagnostics for <a class="rout" href="../D02/d02laf.xml">D02LAF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02lzf.xml">D02LZF</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Second-order ordinary differential equations, initial value problem, interpolation for <a class="rout" href="../D02/d02laf.xml">D02LAF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02mcf.xml">D02MCF</a></td>
<td class="contentsdoc" valign="top" align="center">22</td>
<td class="contentsdoc" valign="top">Implicit ordinary differential equations/DAEs, initial value problem, DASSL method continuation for <a class="rout" href="../D02/d02nef.xml">D02NEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02mvf.xml">D02MVF</a>
<br/><a class="tocexample" href="../../examples/source/d02mvfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02mvf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, DASSL method, setup for D02M&#8211;N routines</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02mwf.xml">D02MWF</a>
<br/><a class="tocexample" href="../../examples/source/d02mwfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">22</td>
<td class="contentsdoc" valign="top">Implicit ordinary differential equations/DAEs, initial value problem, setup for <a class="rout" href="../D02/d02nef.xml">D02NEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02mzf.xml">D02MZF</a>
<br/><a class="tocexample" href="../../examples/source/d02mzfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, interpolation for D02M&#8211;N routines, natural interpolant</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nbf.xml">D02NBF</a>
<br/><a class="tocexample" href="../../examples/source/d02nbfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02nbf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Explicit ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02ncf.xml">D02NCF</a>
<br/><a class="tocexample" href="../../examples/source/d02ncfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02ncf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Explicit ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02ndf.xml">D02NDF</a>
<br/><a class="tocexample" href="../../examples/source/d02ndfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02ndf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Explicit ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nef.xml">D02NEF</a>
<br/><a class="tocexample" href="../../examples/source/d02nefe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">22</td>
<td class="contentsdoc" valign="top">Implicit ordinary differential equations/DAEs, initial value problem, DASSL method integrator</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02ngf.xml">D02NGF</a>
<br/><a class="tocexample" href="../../examples/source/d02ngfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02ngf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Implicit/algebraic ordinary differential equations, stiff initial value problem, full Jacobian (comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nhf.xml">D02NHF</a>
<br/><a class="tocexample" href="../../examples/source/d02nhfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Implicit/algebraic ordinary differential equations, stiff initial value problem, banded Jacobian (comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02njf.xml">D02NJF</a>
<br/><a class="tocexample" href="../../examples/source/d02njfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02njf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Implicit/algebraic ordinary differential equations, stiff initial value problem, sparse Jacobian (comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nmf.xml">D02NMF</a>
<br/><a class="tocexample" href="../../examples/source/d02nmfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02nmf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Explicit ordinary differential equations, stiff initial value problem (reverse communication, comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nnf.xml">D02NNF</a>
<br/><a class="tocexample" href="../../examples/source/d02nnfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Implicit/algebraic ordinary differential equations, stiff initial value problem (reverse communication, comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02npf.xml">D02NPF</a></td>
<td class="contentsdoc" valign="top" align="center">22</td>
<td class="contentsdoc" valign="top">Implicit ordinary differential equations/DAEs, initial value problem linear algebra setup routine for <a class="rout" href="../D02/d02nef.xml">D02NEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nrf.xml">D02NRF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, for use with D02M&#8211;N routines, sparse Jacobian, enquiry routine</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nsf.xml">D02NSF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, for use with D02M&#8211;N routines, full Jacobian, linear algebra set up</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02ntf.xml">D02NTF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, for use with D02M&#8211;N routines, banded Jacobian, linear algebra set up</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nuf.xml">D02NUF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, for use with D02M&#8211;N routines, sparse Jacobian, linear algebra set up</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nvf.xml">D02NVF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, backward diffential formulae method, setup for D02M&#8211;N routines</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nwf.xml">D02NWF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Blend method, setup for D02M&#8211;N routines</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nxf.xml">D02NXF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, sparse Jacobian, linear algebra diagnostics, for use with D02M&#8211;N routines</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nyf.xml">D02NYF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, integrator diagnostics, for use with D02M&#8211;N routines</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02nzf.xml">D02NZF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, setup for continuation calls to integrator, for use with D02M&#8211;N routines</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02pcf.xml">D02PCF</a>
<br/><a class="tocexample" href="../../examples/source/d02pcfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02pcf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Runge&#8211;Kutta method, integration over range with output</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02pdf.xml">D02PDF</a>
<br/><a class="tocexample" href="../../examples/source/d02pdfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02pdf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Runge&#8211;Kutta method, integration over one step</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02pvf.xml">D02PVF</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, setup for <a class="rout" href="../D02/d02pcf.xml">D02PCF</a> and <a class="rout" href="../D02/d02pdf.xml">D02PDF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02pwf.xml">D02PWF</a>
<br/><a class="tocexample" href="../../examples/source/d02pwfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02pwf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, resets end of range for <a class="rout" href="../D02/d02pdf.xml">D02PDF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02pxf.xml">D02PXF</a>
<br/><a class="tocexample" href="../../examples/source/d02pxfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02pxf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, interpolation for <a class="rout" href="../D02/d02pdf.xml">D02PDF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02pyf.xml">D02PYF</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, integration diagnostics for <a class="rout" href="../D02/d02pcf.xml">D02PCF</a> and <a class="rout" href="../D02/d02pdf.xml">D02PDF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02pzf.xml">D02PZF</a>
<br/><a class="tocexample" href="../../examples/source/d02pzfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02pzf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, error assessment diagnostics for <a class="rout" href="../D02/d02pcf.xml">D02PCF</a> and <a class="rout" href="../D02/d02pdf.xml">D02PDF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02qff.xml">D02QFF</a>
<br/><a class="tocexample" href="../../examples/source/d02qffe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Adams method with root-finding (forward communication, comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02qgf.xml">D02QGF</a>
<br/><a class="tocexample" href="../../examples/source/d02qgfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02qgf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, Adams method with root-finding (reverse communication, comprehensive)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02qwf.xml">D02QWF</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, setup for <a class="rout" href="../D02/d02qff.xml">D02QFF</a> and <a class="rout" href="../D02/d02qgf.xml">D02QGF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02qxf.xml">D02QXF</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, diagnostics for <a class="rout" href="../D02/d02qff.xml">D02QFF</a> and <a class="rout" href="../D02/d02qgf.xml">D02QGF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02qyf.xml">D02QYF</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, root-finding diagnostics for <a class="rout" href="../D02/d02qff.xml">D02QFF</a> and <a class="rout" href="../D02/d02qgf.xml">D02QGF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02qzf.xml">D02QZF</a>
<br/><a class="tocexample" href="../../examples/source/d02qzfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02qzf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, interpolation for <a class="rout" href="../D02/d02qff.xml">D02QFF</a> or <a class="rout" href="../D02/d02qgf.xml">D02QGF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02raf.xml">D02RAF</a>
<br/><a class="tocexample" href="../../examples/source/d02rafe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02raf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, general nonlinear boundary value problem, finite difference technique with deferred correction, continuation facility</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02saf.xml">D02SAF</a>
<br/><a class="tocexample" href="../../examples/source/d02safe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02saf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, boundary value problem, shooting and matching technique, subject to extra algebraic equations, general parameters to be determined</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02tgf.xml">D02TGF</a>
<br/><a class="tocexample" href="../../examples/source/d02tgfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02tgf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top"><m:math><m:mi>n</m:mi></m:math>th-order linear ordinary differential equations, boundary value problem, collocation and least-squares</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02tkf.xml">D02TKF</a>
<br/><a class="tocexample" href="../../examples/source/d02tkfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02tkf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, general nonlinear boundary value problem, collocation technique</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02tvf.xml">D02TVF</a>
<br/><a class="tocexample" href="../../examples/source/d02tvfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02tvf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, general nonlinear boundary value problem, setup for <a class="rout" href="../D02/d02tkf.xml">D02TKF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02txf.xml">D02TXF</a>
<br/><a class="tocexample" href="../../examples/source/d02txfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02txf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, general nonlinear boundary value problem, continuation facility for <a class="rout" href="../D02/d02tkf.xml">D02TKF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02tyf.xml">D02TYF</a>
<br/><a class="tocexample" href="../../examples/source/d02tyfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02tyf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, general nonlinear boundary value problem, interpolation for <a class="rout" href="../D02/d02tkf.xml">D02TKF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02tzf.xml">D02TZF</a>
<br/><a class="tocexample" href="../../examples/source/d02tzfe.f">Example&#160;Text</a><br/><a class="plot" href="../D02/d02tzf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, general nonlinear boundary value problem, diagnostics for <a class="rout" href="../D02/d02tkf.xml">D02TKF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02xjf.xml">D02XJF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, interpolation for D02M&#8211;N routines, natural interpolant</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02xkf.xml">D02XKF</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, interpolation for D02M&#8211;N routines, <m:math><m:msub><m:mi>C</m:mi><m:mn>1</m:mn></m:msub></m:math>&#160;interpolant</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../D02/d02zaf.xml">D02ZAF</a>
<br/><a class="tocexample" href="../../examples/source/d02zafe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Ordinary differential equations, initial value problem, weighted norm of local error estimate for D02M&#8211;N routines</td>
</tr>
</tbody>
</table></div><hr/><div><a class="chap" href="../../pdf/D02/d02conts.pdf">D02 Chapter Contents (PDF version)</a></div><div><a class="chapint" href="d02intro.xml">D02 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div>
<div><hr/><a class="genint" href="../FRONTMATTER/copyright.xml">&#169; The Numerical Algorithms Group Ltd, Oxford, UK. 2009</a></div></body></html>