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+<li>Summary:&nbsp;</li>
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+<li><a href="#fields_inherited_from_class_org.apache.commons.math3.ode.nonstiff.AdaptiveStepsizeIntegrator">Field</a>&nbsp;|&nbsp;</li>
+<li><a href="#constructor_summary">Constr</a>&nbsp;|&nbsp;</li>
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+<li>Detail:&nbsp;</li>
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+<!-- -->
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+<!-- ========= END OF TOP NAVBAR ========= -->
+<!-- ======== START OF CLASS DATA ======== -->
+<div class="header">
+<div class="subTitle">org.apache.commons.math3.ode.nonstiff</div>
+<h2 title="Class EmbeddedRungeKuttaIntegrator" class="title">Class EmbeddedRungeKuttaIntegrator</h2>
+</div>
+<div class="contentContainer">
+<ul class="inheritance">
+<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
+<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><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">org.apache.commons.math3.ode.nonstiff.AdaptiveStepsizeIntegrator</a></li>
+<li>
+<ul class="inheritance">
+<li>org.apache.commons.math3.ode.nonstiff.EmbeddedRungeKuttaIntegrator</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+<div class="description">
+<ul class="blockList">
+<li class="blockList">
+<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/DormandPrince54Integrator.html" title="class in org.apache.commons.math3.ode.nonstiff">DormandPrince54Integrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince853Integrator.html" title="class in org.apache.commons.math3.ode.nonstiff">DormandPrince853Integrator</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/HighamHall54Integrator.html" title="class in org.apache.commons.math3.ode.nonstiff">HighamHall54Integrator</a></dd>
+</dl>
+<hr>
+<br>
+<pre>public abstract class <span class="strong">EmbeddedRungeKuttaIntegrator</span>
+extends <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdaptiveStepsizeIntegrator</a></pre>
+<div class="block">This class implements the common part of all embedded Runge-Kutta
+ integrators for Ordinary Differential Equations.
+
+ <p>These methods are embedded explicit Runge-Kutta methods with two
+ sets of coefficients allowing to estimate the error, their Butcher
+ arrays are as follows :
+ <pre>
+ 0 |
+ c2 | a21
+ c3 | a31 a32
+ ... | ...
+ cs | as1 as2 ... ass-1
+ |--------------------------
+ | b1 b2 ... bs-1 bs
+ | b'1 b'2 ... b's-1 b's
+ </pre>
+ </p>
+
+ <p>In fact, we rather use the array defined by ej = bj - b'j to
+ compute directly the error rather than computing two estimates and
+ then comparing them.</p>
+
+ <p>Some methods are qualified as <i>fsal</i> (first same as last)
+ methods. This means the last evaluation of the derivatives in one
+ step is the same as the first in the next step. Then, this
+ evaluation can be reused from one step to the next one and the cost
+ of such a method is really s-1 evaluations despite the method still
+ has s stages. This behaviour is true only for successful steps, if
+ the step is rejected after the error estimation phase, no
+ evaluation is saved. For an <i>fsal</i> method, we have cs = 1 and
+ asi = bi for all i.</p></div>
+<dl><dt><span class="strong">Since:</span></dt>
+ <dd>1.2</dd></dl>
+</li>
+</ul>
+</div>
+<div class="summary">
+<ul class="blockList">
+<li class="blockList">
+<!-- =========== FIELD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="field_summary">
+<!-- -->
+</a>
+<h3>Field Summary</h3>
+<ul class="blockList">
+<li class="blockList"><a name="fields_inherited_from_class_org.apache.commons.math3.ode.nonstiff.AdaptiveStepsizeIntegrator">
+<!-- -->
+</a>
+<h3>Fields inherited from class&nbsp;org.apache.commons.math3.ode.nonstiff.<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdaptiveStepsizeIntegrator</a></h3>
+<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#mainSetDimension">mainSetDimension</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#scalAbsoluteTolerance">scalAbsoluteTolerance</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#scalRelativeTolerance">scalRelativeTolerance</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#vecAbsoluteTolerance">vecAbsoluteTolerance</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#vecRelativeTolerance">vecRelativeTolerance</a></code></li>
+</ul>
+<ul class="blockList">
+<li class="blockList"><a name="fields_inherited_from_class_org.apache.commons.math3.ode.AbstractIntegrator">
+<!-- -->
+</a>
+<h3>Fields inherited from class&nbsp;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>
+</ul>
+</li>
+</ul>
+<!-- ======== CONSTRUCTOR SUMMARY ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_summary">
+<!-- -->
+</a>
+<h3>Constructor Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
+<caption><span>Constructors</span><span class="tabEnd">&nbsp;</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/EmbeddedRungeKuttaIntegrator.html#EmbeddedRungeKuttaIntegrator(java.lang.String,%20boolean,%20double[],%20double[][],%20double[],%20org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator,%20double,%20double,%20double[],%20double[])">EmbeddedRungeKuttaIntegrator</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name,
+ boolean&nbsp;fsal,
+ double[]&nbsp;c,
+ double[][]&nbsp;a,
+ double[]&nbsp;b,
+ org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator&nbsp;prototype,
+ double&nbsp;minStep,
+ double&nbsp;maxStep,
+ double[]&nbsp;vecAbsoluteTolerance,
+ double[]&nbsp;vecRelativeTolerance)</code>
+<div class="block">Build a Runge-Kutta integrator with the given Butcher array.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>protected </code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#EmbeddedRungeKuttaIntegrator(java.lang.String,%20boolean,%20double[],%20double[][],%20double[],%20org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator,%20double,%20double,%20double,%20double)">EmbeddedRungeKuttaIntegrator</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name,
+ boolean&nbsp;fsal,
+ double[]&nbsp;c,
+ double[][]&nbsp;a,
+ double[]&nbsp;b,
+ org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator&nbsp;prototype,
+ double&nbsp;minStep,
+ double&nbsp;maxStep,
+ double&nbsp;scalAbsoluteTolerance,
+ double&nbsp;scalRelativeTolerance)</code>
+<div class="block">Build a Runge-Kutta integrator with the given Butcher array.</div>
+</td>
+</tr>
+</table>
+</li>
+</ul>
+<!-- ========== METHOD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_summary">
+<!-- -->
+</a>
+<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">&nbsp;</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>protected abstract double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#estimateError(double[][],%20double[],%20double[],%20double)">estimateError</a></strong>(double[][]&nbsp;yDotK,
+ double[]&nbsp;y0,
+ double[]&nbsp;y1,
+ double&nbsp;h)</code>
+<div class="block">Compute the error ratio.</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/EmbeddedRungeKuttaIntegrator.html#getMaxGrowth()">getMaxGrowth</a></strong>()</code>
+<div class="block">Get the maximal growth factor for stepsize control.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#getMinReduction()">getMinReduction</a></strong>()</code>
+<div class="block">Get the minimal reduction factor for stepsize control.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>abstract int</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#getOrder()">getOrder</a></strong>()</code>
+<div class="block">Get the order of the method.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#getSafety()">getSafety</a></strong>()</code>
+<div class="block">Get the safety factor for stepsize control.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>void</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#integrate(org.apache.commons.math3.ode.ExpandableStatefulODE,%20double)">integrate</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode">ExpandableStatefulODE</a>&nbsp;equations,
+ double&nbsp;t)</code>
+<div class="block">Integrate a set of differential equations up to the given time.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>void</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#setMaxGrowth(double)">setMaxGrowth</a></strong>(double&nbsp;maxGrowth)</code>
+<div class="block">Set the maximal growth factor for stepsize control.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>void</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#setMinReduction(double)">setMinReduction</a></strong>(double&nbsp;minReduction)</code>
+<div class="block">Set the minimal reduction factor for stepsize control.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>void</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html#setSafety(double)">setSafety</a></strong>(double&nbsp;safety)</code>
+<div class="block">Set the safety factor for stepsize control.</div>
+</td>
+</tr>
+</table>
+<ul class="blockList">
+<li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.ode.nonstiff.AdaptiveStepsizeIntegrator">
+<!-- -->
+</a>
+<h3>Methods inherited from class&nbsp;org.apache.commons.math3.ode.nonstiff.<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdaptiveStepsizeIntegrator</a></h3>
+<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#filterStep(double,%20boolean,%20boolean)">filterStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#getCurrentStepStart()">getCurrentStepStart</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#getMaxStep()">getMaxStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#getMinStep()">getMinStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#initializeStep(boolean,%20int,%20double[],%20double,%20double[],%20double[],%20double[],%20double[])">initializeStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#resetInternalState()">resetInternalState</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#sanityChecks(org.apache.commons.math3.ode.ExpandableStatefulODE,%20double)">sanityChecks</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#setInitialStepSize(double)">setInitialStepSize</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#setStepSizeControl(double,%20double,%20double[],%20double[])">setStepSizeControl</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html#setStepSizeControl(double,%20double,%20double,%20double)">setStepSizeControl</a></code></li>
+</ul>
+<ul class="blockList">
+<li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.ode.AbstractIntegrator">
+<!-- -->
+</a>
+<h3>Methods inherited from class&nbsp;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,%20double[],%20double[],%20double)">acceptStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.EventHandler,%20double,%20double,%20int)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.EventHandler,%20double,%20double,%20int,%20org.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,%20double[],%20double[])">computeDerivatives</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getCounter()">getCounter</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#getCurrentSignedStepsize()">getCurrentSignedStepsize</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,%20double[],%20double)">initIntegration</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractIntegrator.html#integrate(org.apache.commons.math3.ode.FirstOrderDifferentialEquations,%20double,%20double[],%20double,%20double[])">integrate</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>
+<ul class="blockList">
+<li class="blockList"><a name="methods_inherited_from_class_java.lang.Object">
+<!-- -->
+</a>
+<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/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/7/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/7/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/7/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/7/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/7/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/7/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/7/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/7/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/7/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/7/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/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" 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="EmbeddedRungeKuttaIntegrator(java.lang.String, boolean, double[], double[][], double[], org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator, double, double, double, double)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>EmbeddedRungeKuttaIntegrator</h4>
+<pre>protected&nbsp;EmbeddedRungeKuttaIntegrator(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name,
+ boolean&nbsp;fsal,
+ double[]&nbsp;c,
+ double[][]&nbsp;a,
+ double[]&nbsp;b,
+ org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator&nbsp;prototype,
+ double&nbsp;minStep,
+ double&nbsp;maxStep,
+ double&nbsp;scalAbsoluteTolerance,
+ double&nbsp;scalRelativeTolerance)</pre>
+<div class="block">Build a Runge-Kutta integrator with the given Butcher array.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>name</code> - name of the method</dd><dd><code>fsal</code> - indicate that the method is an <i>fsal</i></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>minStep</code> - minimal step (sign is irrelevant, regardless of
+ integration direction, forward or backward), the last step can
+ be smaller than this</dd><dd><code>maxStep</code> - maximal step (sign is irrelevant, regardless of
+ integration direction, forward or backward), the last step can
+ be smaller than this</dd><dd><code>scalAbsoluteTolerance</code> - allowed absolute error</dd><dd><code>scalRelativeTolerance</code> - allowed relative error</dd></dl>
+</li>
+</ul>
+<a name="EmbeddedRungeKuttaIntegrator(java.lang.String, boolean, double[], double[][], double[], org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator, double, double, double[], double[])">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>EmbeddedRungeKuttaIntegrator</h4>
+<pre>protected&nbsp;EmbeddedRungeKuttaIntegrator(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name,
+ boolean&nbsp;fsal,
+ double[]&nbsp;c,
+ double[][]&nbsp;a,
+ double[]&nbsp;b,
+ org.apache.commons.math3.ode.nonstiff.RungeKuttaStepInterpolator&nbsp;prototype,
+ double&nbsp;minStep,
+ double&nbsp;maxStep,
+ double[]&nbsp;vecAbsoluteTolerance,
+ double[]&nbsp;vecRelativeTolerance)</pre>
+<div class="block">Build a Runge-Kutta integrator with the given Butcher array.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>name</code> - name of the method</dd><dd><code>fsal</code> - indicate that the method is an <i>fsal</i></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>minStep</code> - minimal step (must be positive even for backward
+ integration), the last step can be smaller than this</dd><dd><code>maxStep</code> - maximal step (must be positive even for backward
+ integration)</dd><dd><code>vecAbsoluteTolerance</code> - allowed absolute error</dd><dd><code>vecRelativeTolerance</code> - allowed relative error</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ============ METHOD DETAIL ========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_detail">
+<!-- -->
+</a>
+<h3>Method Detail</h3>
+<a name="getOrder()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getOrder</h4>
+<pre>public abstract&nbsp;int&nbsp;getOrder()</pre>
+<div class="block">Get the order of the method.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>order of the method</dd></dl>
+</li>
+</ul>
+<a name="getSafety()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getSafety</h4>
+<pre>public&nbsp;double&nbsp;getSafety()</pre>
+<div class="block">Get the safety factor for stepsize control.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>safety factor</dd></dl>
+</li>
+</ul>
+<a name="setSafety(double)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>setSafety</h4>
+<pre>public&nbsp;void&nbsp;setSafety(double&nbsp;safety)</pre>
+<div class="block">Set the safety factor for stepsize control.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>safety</code> - safety factor</dd></dl>
+</li>
+</ul>
+<a name="integrate(org.apache.commons.math3.ode.ExpandableStatefulODE, double)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>integrate</h4>
+<pre>public&nbsp;void&nbsp;integrate(<a href="../../../../../../org/apache/commons/math3/ode/ExpandableStatefulODE.html" title="class in org.apache.commons.math3.ode">ExpandableStatefulODE</a>&nbsp;equations,
+ double&nbsp;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/nonstiff/AdaptiveStepsizeIntegrator.html#integrate(org.apache.commons.math3.ode.ExpandableStatefulODE,%20double)">integrate</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdaptiveStepsizeIntegrator</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="getMinReduction()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getMinReduction</h4>
+<pre>public&nbsp;double&nbsp;getMinReduction()</pre>
+<div class="block">Get the minimal reduction factor for stepsize control.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>minimal reduction factor</dd></dl>
+</li>
+</ul>
+<a name="setMinReduction(double)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>setMinReduction</h4>
+<pre>public&nbsp;void&nbsp;setMinReduction(double&nbsp;minReduction)</pre>
+<div class="block">Set the minimal reduction factor for stepsize control.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>minReduction</code> - minimal reduction factor</dd></dl>
+</li>
+</ul>
+<a name="getMaxGrowth()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getMaxGrowth</h4>
+<pre>public&nbsp;double&nbsp;getMaxGrowth()</pre>
+<div class="block">Get the maximal growth factor for stepsize control.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>maximal growth factor</dd></dl>
+</li>
+</ul>
+<a name="setMaxGrowth(double)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>setMaxGrowth</h4>
+<pre>public&nbsp;void&nbsp;setMaxGrowth(double&nbsp;maxGrowth)</pre>
+<div class="block">Set the maximal growth factor for stepsize control.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>maxGrowth</code> - maximal growth factor</dd></dl>
+</li>
+</ul>
+<a name="estimateError(double[][], double[], double[], double)">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>estimateError</h4>
+<pre>protected abstract&nbsp;double&nbsp;estimateError(double[][]&nbsp;yDotK,
+ double[]&nbsp;y0,
+ double[]&nbsp;y1,
+ double&nbsp;h)</pre>
+<div class="block">Compute the error ratio.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>yDotK</code> - derivatives computed during the first stages</dd><dd><code>y0</code> - estimate of the step at the start of the step</dd><dd><code>y1</code> - estimate of the step at the end of the step</dd><dd><code>h</code> - current step</dd>
+<dt><span class="strong">Returns:</span></dt><dd>error ratio, greater than 1 if step should be rejected</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+</div>
+<!-- ========= END OF CLASS DATA ========= -->
+<!-- ======= START OF BOTTOM NAVBAR ====== -->
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+<li><a href="package-summary.html">Package</a></li>
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