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<div class="subTitle">org.apache.commons.math3.ode.nonstiff</div>
<h2 title="Class EulerIntegrator" class="title">Class EulerIntegrator</h2>
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<li><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">org.apache.commons.math3.ode.AbstractIntegrator</a></li>
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<li><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">org.apache.commons.math3.ode.nonstiff.RungeKuttaIntegrator</a></li>
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<li>org.apache.commons.math3.ode.nonstiff.EulerIntegrator</li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/ode/FirstOrderIntegrator.html" title="interface in org.apache.commons.math3.ode">FirstOrderIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/ODEIntegrator.html" title="interface in org.apache.commons.math3.ode">ODEIntegrator</a></dd>
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<pre>public class <span class="strong">EulerIntegrator</span>
extends <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">RungeKuttaIntegrator</a></pre>
<div class="block">This class implements a simple Euler integrator for Ordinary
Differential Equations.
<p>The Euler algorithm is the simplest one that can be used to
integrate ordinary differential equations. It is a simple inversion
of the forward difference expression :
<code>f'=(f(t+h)-f(t))/h</code> which leads to
<code>f(t+h)=f(t)+hf'</code>. The interpolation scheme used for
dense output is the linear scheme already used for integration.</p>
<p>This algorithm looks cheap because it needs only one function
evaluation per step. However, as it uses linear estimates, it needs
very small steps to achieve high accuracy, and small steps lead to
numerical errors and instabilities.</p>
<p>This algorithm is almost never used and has been included in
this package only as a comparison reference for more useful
integrators.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>1.2</dd>
<dt><span class="strong">Version:</span></dt>
<dd>$Id: EulerIntegrator.java 1588755 2014-04-20 13:30:16Z luc $</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/MidpointIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff"><code>MidpointIntegrator</code></a>,
<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/ClassicalRungeKuttaIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff"><code>ClassicalRungeKuttaIntegrator</code></a>,
<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/GillIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff"><code>GillIntegrator</code></a>,
<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/ThreeEighthesIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff"><code>ThreeEighthesIntegrator</code></a>,
<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/LutherIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff"><code>LutherIntegrator</code></a></dd></dl>
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<code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#isLastStep">isLastStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#resetOccurred">resetOccurred</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#stepHandlers">stepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#stepSize">stepSize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#stepStart">stepStart</a></code></li>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EulerIntegrator.html#EulerIntegrator(double)">EulerIntegrator</a></strong>(double&nbsp;step)</code>
<div class="block">Simple constructor.</div>
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<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html#integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">integrate</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html#singleStep(org.apache.commons.math3.ode.FirstOrderDifferentialEquations, double, double[], double)">singleStep</a></code></li>
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<code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#acceptStep(org.apache.commons.math3.ode.sampling.AbstractStepInterpolator, double[], double[], double)">acceptStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.EventHandler, double, double, int)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.EventHandler, double, double, int, org.apache.commons.math3.analysis.solvers.UnivariateSolver)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#addStepHandler(org.apache.commons.math3.ode.sampling.StepHandler)">addStepHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#clearEventHandlers()">clearEventHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#clearStepHandlers()">clearStepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#computeDerivatives(double, double[], double[])">computeDerivatives</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getCurrentSignedStepsize()">getCurrentSignedStepsize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getCurrentStepStart()">getCurrentStepStart</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getEvaluationsCounter()">getEvaluationsCounter</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getEventHandlers()">getEventHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getExpandable()">getExpandable</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getMaxEvaluations()">getMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getName()">getName</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getStepHandlers()">getStepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#initIntegration(double, double[], double)">initIntegration</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#integrate(org.apache.commons.math3.ode.FirstOrderDifferentialEquations, double, double[], double, double[])">integrate</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#sanityChecks(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">sanityChecks</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#setEquations(org.apache.commons.math3.ode.ExpandableStatefulODE)">setEquations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#setMaxEvaluations(int)">setMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#setStateInitialized(boolean)">setStateInitialized</a></code></li>
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<h4>EulerIntegrator</h4>
<pre>public&nbsp;EulerIntegrator(double&nbsp;step)</pre>
<div class="block">Simple constructor.
Build an Euler integrator with the given step.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>step</code> - integration step</dd></dl>
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