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| <div class="subTitle">org.apache.commons.math3.ode.nonstiff</div> |
| <h2 title="Class RungeKuttaIntegrator" class="title">Class RungeKuttaIntegrator</h2> |
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| <li> |
| <ul class="inheritance"> |
| <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> |
| <li> |
| <ul class="inheritance"> |
| <li>org.apache.commons.math3.ode.nonstiff.RungeKuttaIntegrator</li> |
| </ul> |
| </li> |
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| <dl> |
| <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> |
| </dl> |
| <dl> |
| <dt>Direct Known Subclasses:</dt> |
| <dd><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/ClassicalRungeKuttaIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">ClassicalRungeKuttaIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EulerIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EulerIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/GillIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">GillIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/LutherIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">LutherIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/MidpointIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">MidpointIntegrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/ThreeEighthesIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">ThreeEighthesIntegrator</a></dd> |
| </dl> |
| <hr> |
| <br> |
| <pre>public abstract class <span class="strong">RungeKuttaIntegrator</span> |
| extends <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></pre> |
| <div class="block">This class implements the common part of all fixed step Runge-Kutta |
| integrators for Ordinary Differential Equations. |
| |
| <p>These methods are explicit Runge-Kutta methods, their Butcher |
| arrays are as follows : |
| <pre> |
| 0 | |
| c2 | a21 |
| c3 | a31 a32 |
| ... | ... |
| cs | as1 as2 ... ass-1 |
| |-------------------------- |
| | b1 b2 ... bs-1 bs |
| </pre> |
| </p></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>1.2</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: RungeKuttaIntegrator.java 1588769 2014-04-20 14:29:42Z luc $</dd> |
| <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EulerIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff"><code>EulerIntegrator</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/MidpointIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff"><code>MidpointIntegrator</code></a></dd></dl> |
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| <h3>Fields inherited from class org.apache.commons.math3.ode.<a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></h3> |
| <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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| <caption><span>Constructors</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier</th> |
| <th class="colLast" scope="col">Constructor and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>protected </code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html#RungeKuttaIntegrator(java.lang.String, double[], double[][], double[], org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator, double)">RungeKuttaIntegrator</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name, |
| double[] c, |
| double[][] a, |
| double[] b, |
| org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator prototype, |
| double step)</code> |
| <div class="block">Simple constructor.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ========== METHOD SUMMARY =========== --> |
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| <h3>Method Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation"> |
| <caption><span>Methods</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <th class="colLast" scope="col">Method and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html#integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">integrate</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode">ExpandableStatefulODE</a> equations, |
| double t)</code> |
| <div class="block">Integrate a set of differential equations up to the given time.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html#singleStep(org.apache.commons.math3.ode.FirstOrderDifferentialEquations, double, double[], double)">singleStep</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode">FirstOrderDifferentialEquations</a> equations, |
| double t0, |
| double[] y0, |
| double t)</code> |
| <div class="block">Fast computation of a single step of ODE integration.</div> |
| </td> |
| </tr> |
| </table> |
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| </a> |
| <h3>Methods inherited from class org.apache.commons.math3.ode.<a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></h3> |
| <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> |
| </ul> |
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| <h3>Methods inherited from class java.lang.<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> |
| <code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| <div class="details"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_detail"> |
| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="RungeKuttaIntegrator(java.lang.String, double[], double[][], double[], org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator, double)"> |
| <!-- --> |
| </a> |
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| <h4>RungeKuttaIntegrator</h4> |
| <pre>protected RungeKuttaIntegrator(<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name, |
| double[] c, |
| double[][] a, |
| double[] b, |
| org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator prototype, |
| double step)</pre> |
| <div class="block">Simple constructor. |
| Build a Runge-Kutta integrator with the given |
| step. The default step handler does nothing.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>name</code> - name of the method</dd><dd><code>c</code> - time steps from Butcher array (without the first zero)</dd><dd><code>a</code> - internal weights from Butcher array (without the first empty row)</dd><dd><code>b</code> - propagation weights for the high order method from Butcher array</dd><dd><code>prototype</code> - prototype of the step interpolator to use</dd><dd><code>step</code> - integration step</dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ============ METHOD DETAIL ========== --> |
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| </a> |
| <h3>Method Detail</h3> |
| <a name="integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>integrate</h4> |
| <pre>public void integrate(<a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode">ExpandableStatefulODE</a> equations, |
| double t) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NoBracketingException.html" title="class in org.apache.commons.math3.exception">NoBracketingException</a></pre> |
| <div class="block">Integrate a set of differential equations up to the given time. |
| <p>This method solves an Initial Value Problem (IVP).</p> |
| <p>The set of differential equations is composed of a main set, which |
| can be extended by some sets of secondary equations. The set of |
| equations must be already set up with initial time and partial states. |
| At integration completion, the final time and partial states will be |
| available in the same object.</p> |
| <p>Since this method stores some internal state variables made |
| available in its public interface during integration (<a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getCurrentSignedStepsize()"><code>AbstractIntegrator.getCurrentSignedStepsize()</code></a>), it is <em>not</em> thread-safe.</p></div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">integrate</a></code> in class <code><a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractIntegrator</a></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>equations</code> - complete set of differential equations to integrate</dd><dd><code>t</code> - target time for the integration |
| (can be set to a value smaller than <code>t0</code> for backward integration)</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if integration step is too small</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the dimension of the complete state does not |
| match the complete equations sets dimension</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code> - if the number of functions evaluations is exceeded</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoBracketingException.html" title="class in org.apache.commons.math3.exception">NoBracketingException</a></code> - if the location of an event cannot be bracketed</dd></dl> |
| </li> |
| </ul> |
| <a name="singleStep(org.apache.commons.math3.ode.FirstOrderDifferentialEquations, double, double[], double)"> |
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| </a> |
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| <h4>singleStep</h4> |
| <pre>public double[] singleStep(<a href="../../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode">FirstOrderDifferentialEquations</a> equations, |
| double t0, |
| double[] y0, |
| double t)</pre> |
| <div class="block">Fast computation of a single step of ODE integration. |
| <p>This method is intended for the limited use case of |
| very fast computation of only one step without using any of the |
| rich features of general integrators that may take some time |
| to set up (i.e. no step handlers, no events handlers, no additional |
| states, no interpolators, no error control, no evaluations count, |
| no sanity checks ...). It handles the strict minimum of computation, |
| so it can be embedded in outer loops.</p> |
| <p> |
| This method is <em>not</em> used at all by the <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/RungeKuttaIntegrator.html#integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)"><code>integrate(ExpandableStatefulODE, double)</code></a> |
| method. It also completely ignores the step set at construction time, and |
| uses only a single step to go from <code>t0</code> to <code>t</code>. |
| </p> |
| <p> |
| As this method does not use any of the state-dependent features of the integrator, |
| it should be reasonably thread-safe <em>if and only if</em> the provided differential |
| equations are themselves thread-safe. |
| </p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>equations</code> - differential equations to integrate</dd><dd><code>t0</code> - initial time</dd><dd><code>y0</code> - initial value of the state vector at t0</dd><dd><code>t</code> - target time for the integration |
| (can be set to a value smaller than <code>t0</code> for backward integration)</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>state vector at <code>t</code></dd></dl> |
| </li> |
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