csharpfftfsharpintegrationinterpolationlinear-algebramathdifferentiationmatrixnumericsrandomregressionstatisticsmathnet
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
272 lines
12 KiB
272 lines
12 KiB
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Frameset//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-frameset.dtd">
|
|
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
|
|
<head>
|
|
<title>AdamsBashforth - Math.NET Numerics Documentation</title>
|
|
<meta http-equiv="Content-Type" content="text/html; charset=utf-8"/>
|
|
<link type="text/css" rel="stylesheet" href="../main.css"/>
|
|
<script type="text/javascript" src="../js/jquery-1.3.2.min.js"></script>
|
|
<script type="text/javascript" src="../js/jquery.scrollTo-min.js"></script>
|
|
<script type="text/javascript" src="../js/navigation.js"></script>
|
|
<script type="text/javascript" src="../js/example.js"></script>
|
|
</head>
|
|
<body><div id="namespaces">
|
|
<h2 class="fixed">Namespaces</h2>
|
|
<div class="scroll">
|
|
<ul>
|
|
<li>
|
|
<a href="../MathNet.Numerics/index.htm">MathNet.Numerics</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Differentiation/index.htm">MathNet.Numerics.Differentiation</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Distributions/index.htm">MathNet.Numerics.Distributions</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Financial/index.htm">MathNet.Numerics.Financial</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.IntegralTransforms/index.htm">MathNet.Numerics.IntegralTransforms</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Integration/index.htm">MathNet.Numerics.Integration</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Interpolation/index.htm">MathNet.Numerics.Interpolation</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra/index.htm">MathNet.Numerics.LinearAlgebra</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Complex/index.htm">MathNet.Numerics.LinearAlgebra.Complex</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/index.htm">MathNet.Numerics.LinearAlgebra.Complex.Solvers</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Complex32/index.htm">MathNet.Numerics.LinearAlgebra.Complex32</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Complex32.Solvers/index.htm">MathNet.Numerics.LinearAlgebra.Complex32.Solvers</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Double/index.htm">MathNet.Numerics.LinearAlgebra.Double</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Double.Solvers/index.htm">MathNet.Numerics.LinearAlgebra.Double.Solvers</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Factorization/index.htm">MathNet.Numerics.LinearAlgebra.Factorization</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Single/index.htm">MathNet.Numerics.LinearAlgebra.Single</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Single.Solvers/index.htm">MathNet.Numerics.LinearAlgebra.Single.Solvers</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Solvers/index.htm">MathNet.Numerics.LinearAlgebra.Solvers</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearAlgebra.Storage/index.htm">MathNet.Numerics.LinearAlgebra.Storage</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.LinearRegression/index.htm">MathNet.Numerics.LinearRegression</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.OdeSolvers/index.htm" class="current">MathNet.Numerics.OdeSolvers</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Optimization/index.htm">MathNet.Numerics.Optimization</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Optimization.LineSearch/index.htm">MathNet.Numerics.Optimization.LineSearch</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Optimization.ObjectiveFunctions/index.htm">MathNet.Numerics.Optimization.ObjectiveFunctions</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Optimization.TrustRegion/index.htm">MathNet.Numerics.Optimization.TrustRegion</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Providers/index.htm">MathNet.Numerics.Providers</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Providers.FourierTransform/index.htm">MathNet.Numerics.Providers.FourierTransform</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Providers.LinearAlgebra/index.htm">MathNet.Numerics.Providers.LinearAlgebra</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Providers.SparseSolver/index.htm">MathNet.Numerics.Providers.SparseSolver</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Random/index.htm">MathNet.Numerics.Random</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.RootFinding/index.htm">MathNet.Numerics.RootFinding</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Statistics/index.htm">MathNet.Numerics.Statistics</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.Statistics.Mcmc/index.htm">MathNet.Numerics.Statistics.Mcmc</a>
|
|
</li>
|
|
</ul>
|
|
</div>
|
|
</div><div id="types">
|
|
<h2 class="fixed">Types in MathNet.Numerics.OdeSolvers</h2>
|
|
<div class="scroll">
|
|
<ul>
|
|
<li>
|
|
<a href="../MathNet.Numerics.OdeSolvers/AdamsBashforth.htm" class="current">AdamsBashforth</a>
|
|
</li>
|
|
<li>
|
|
<a href="../MathNet.Numerics.OdeSolvers/RungeKutta.htm">RungeKutta</a>
|
|
</li>
|
|
</ul>
|
|
</div>
|
|
</div>
|
|
<div class="header">
|
|
<p class="class"><strong>Type</strong> AdamsBashforth</p>
|
|
<p><strong>Namespace</strong> MathNet.Numerics.OdeSolvers</p>
|
|
</div>
|
|
<div class="sub-header">
|
|
|
|
|
|
<h3 class="section">Static Functions</h3>
|
|
<ul>
|
|
<li><a href="../MathNet.Numerics.OdeSolvers/AdamsBashforth.htm#FirstOrder">FirstOrder</a></li>
|
|
<li><a href="../MathNet.Numerics.OdeSolvers/AdamsBashforth.htm#FourthOrder">FourthOrder</a></li>
|
|
<li><a href="../MathNet.Numerics.OdeSolvers/AdamsBashforth.htm#SecondOrder">SecondOrder</a></li>
|
|
<li><a href="../MathNet.Numerics.OdeSolvers/AdamsBashforth.htm#ThirdOrder">ThirdOrder</a></li>
|
|
</ul>
|
|
|
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
<h3 class="section">Public Static Functions</h3>
|
|
|
|
<div id="FirstOrder" class="method">
|
|
<h4><span title="System.Double[]">Double[]</span> <strong>FirstOrder</strong>(<span title="System.double">double</span> y0, <span title="System.double">double</span> start, <span title="System.double">double</span> end, <span title="System.int">int</span> N, <span title="System.Func<double, double, double>">Func<double, double, double></span> f)</h4>
|
|
<div class="content">First Order AB method(same as Forward Euler)
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.double">double</span></code> y0</h6>
|
|
<p class="comments">Initial value </p>
|
|
<h6><code><span title="System.double">double</span></code> start</h6>
|
|
<p class="comments">Start Time </p>
|
|
<h6><code><span title="System.double">double</span></code> end</h6>
|
|
<p class="comments">End Time </p>
|
|
<h6><code><span title="System.int">int</span></code> N</h6>
|
|
<p class="comments">Size of output array(the larger, the finer) </p>
|
|
<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
|
|
<p class="comments">ode model </p>
|
|
</div>
|
|
|
|
<div class="return">
|
|
<h5>Return</h5>
|
|
<h6><code><span title="System.Double[]">Double[]</span></code></h6>
|
|
<p>approximation with size N </p>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
<div id="FourthOrder" class="method">
|
|
<h4><span title="System.Double[]">Double[]</span> <strong>FourthOrder</strong>(<span title="System.double">double</span> y0, <span title="System.double">double</span> start, <span title="System.double">double</span> end, <span title="System.int">int</span> N, <span title="System.Func<double, double, double>">Func<double, double, double></span> f)</h4>
|
|
<div class="content">Fourth Order AB Method
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.double">double</span></code> y0</h6>
|
|
<p class="comments">Initial value 1 </p>
|
|
<h6><code><span title="System.double">double</span></code> start</h6>
|
|
<p class="comments">Start Time </p>
|
|
<h6><code><span title="System.double">double</span></code> end</h6>
|
|
<p class="comments">End Time </p>
|
|
<h6><code><span title="System.int">int</span></code> N</h6>
|
|
<p class="comments">Size of output array(the larger, the finer) </p>
|
|
<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
|
|
<p class="comments">ode model </p>
|
|
</div>
|
|
|
|
<div class="return">
|
|
<h5>Return</h5>
|
|
<h6><code><span title="System.Double[]">Double[]</span></code></h6>
|
|
<p>approximation with size N </p>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
<div id="SecondOrder" class="method">
|
|
<h4><span title="System.Double[]">Double[]</span> <strong>SecondOrder</strong>(<span title="System.double">double</span> y0, <span title="System.double">double</span> start, <span title="System.double">double</span> end, <span title="System.int">int</span> N, <span title="System.Func<double, double, double>">Func<double, double, double></span> f)</h4>
|
|
<div class="content">Second Order AB Method
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.double">double</span></code> y0</h6>
|
|
<p class="comments">Initial value 1 </p>
|
|
<h6><code><span title="System.double">double</span></code> start</h6>
|
|
<p class="comments">Start Time </p>
|
|
<h6><code><span title="System.double">double</span></code> end</h6>
|
|
<p class="comments">End Time </p>
|
|
<h6><code><span title="System.int">int</span></code> N</h6>
|
|
<p class="comments">Size of output array(the larger, the finer) </p>
|
|
<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
|
|
<p class="comments">ode model </p>
|
|
</div>
|
|
|
|
<div class="return">
|
|
<h5>Return</h5>
|
|
<h6><code><span title="System.Double[]">Double[]</span></code></h6>
|
|
<p>approximation with size N </p>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
<div id="ThirdOrder" class="method">
|
|
<h4><span title="System.Double[]">Double[]</span> <strong>ThirdOrder</strong>(<span title="System.double">double</span> y0, <span title="System.double">double</span> start, <span title="System.double">double</span> end, <span title="System.int">int</span> N, <span title="System.Func<double, double, double>">Func<double, double, double></span> f)</h4>
|
|
<div class="content">Third Order AB Method
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.double">double</span></code> y0</h6>
|
|
<p class="comments">Initial value 1 </p>
|
|
<h6><code><span title="System.double">double</span></code> start</h6>
|
|
<p class="comments">Start Time </p>
|
|
<h6><code><span title="System.double">double</span></code> end</h6>
|
|
<p class="comments">End Time </p>
|
|
<h6><code><span title="System.int">int</span></code> N</h6>
|
|
<p class="comments">Size of output array(the larger, the finer) </p>
|
|
<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
|
|
<p class="comments">ode model </p>
|
|
</div>
|
|
|
|
<div class="return">
|
|
<h5>Return</h5>
|
|
<h6><code><span title="System.Double[]">Double[]</span></code></h6>
|
|
<p>approximation with size N </p>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
|
|
|
|
<div id="footer">
|
|
<p>Based on v5.0.0.0 of MathNet.Numerics (Math.NET Numerics)</p>
|
|
<p>Generated by <a href="http://docu.jagregory.com">docu</a></p>
|
|
</div>
|
|
</body>
|
|
</html>
|