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400 lines
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<a href="../MathNet.Numerics.Integration/DoubleExponentialTransformation.htm">DoubleExponentialTransformation</a>
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<a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm">GaussKronrodRule</a>
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<a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm">GaussLegendreRule</a>
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<a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm" class="current">NewtonCotesTrapeziumRule</a>
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<a href="../MathNet.Numerics.Integration/SimpsonRule.htm">SimpsonRule</a>
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<div class="header">
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<p class="class"><strong>Type</strong> NewtonCotesTrapeziumRule</p>
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<p><strong>Namespace</strong> MathNet.Numerics.Integration</p>
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</div>
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<div class="sub-header">
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<div id="summary">Approximation algorithm for definite integrals by the Trapezium rule of the Newton-Cotes family.
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</div>
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<h3 class="section">Static Functions</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm#ContourIntegrateAdaptive">ContourIntegrateAdaptive</a></li>
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<li><a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm#ContourIntegrateAdaptiveTransformedOdd">ContourIntegrateAdaptiveTransformedOdd</a></li>
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<li><a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm#ContourIntegrateComposite">ContourIntegrateComposite</a></li>
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<li><a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm#ContourIntegrateTwoPoint">ContourIntegrateTwoPoint</a></li>
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<li><a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm#IntegrateAdaptive">IntegrateAdaptive</a></li>
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<li><a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm#IntegrateAdaptiveTransformedOdd">IntegrateAdaptiveTransformedOdd</a></li>
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<li><a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm#IntegrateComposite">IntegrateComposite</a></li>
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<li><a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm#IntegrateTwoPoint">IntegrateTwoPoint</a></li>
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</ul>
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</div>
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<h3 class="section">Public Static Functions</h3>
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<div id="ContourIntegrateAdaptive" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>ContourIntegrateAdaptive</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.double">double</span> targetError)</h4>
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<div class="content">Adaptive approximation of the definite integral in the provided interval by the trapezium rule.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, Complex>">Func<double, Complex></span></code> f</h6>
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<p class="comments">The analytic smooth complex function to integrate, define don real domain. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> targetError</h6>
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<p class="comments">The expected accuracy of the approximation. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="ContourIntegrateAdaptiveTransformedOdd" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>ContourIntegrateAdaptiveTransformedOdd</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.Collections.Generic.IEnumerable<Double[]>">IEnumerable<Double[]></span> levelAbscissas, <span title="System.Collections.Generic.IEnumerable<Double[]>">IEnumerable<Double[]></span> levelWeights, <span title="System.double">double</span> levelOneStep, <span title="System.double">double</span> targetRelativeError)</h4>
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<div class="content">Adaptive approximation of the definite integral by the trapezium rule.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, Complex>">Func<double, Complex></span></code> f</h6>
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<p class="comments">The analytic smooth complex function to integrate, defined on the real domain. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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<h6><code><span title="System.Collections.Generic.IEnumerable<Double[]>">IEnumerable<Double[]></span></code> levelAbscissas</h6>
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<p class="comments">Abscissa vector per level provider. </p>
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<h6><code><span title="System.Collections.Generic.IEnumerable<Double[]>">IEnumerable<Double[]></span></code> levelWeights</h6>
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<p class="comments">Weight vector per level provider. </p>
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<h6><code><span title="System.double">double</span></code> levelOneStep</h6>
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<p class="comments">First Level Step </p>
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<h6><code><span title="System.double">double</span></code> targetRelativeError</h6>
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<p class="comments">The expected relative accuracy of the approximation. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="ContourIntegrateComposite" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>ContourIntegrateComposite</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.int">int</span> numberOfPartitions)</h4>
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<div class="content">Composite N-point approximation of the definite integral in the provided interval by the trapezium rule.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, Complex>">Func<double, Complex></span></code> f</h6>
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<p class="comments">The analytic smooth complex function to integrate, defined on real domain. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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<h6><code><span title="System.int">int</span></code> numberOfPartitions</h6>
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<p class="comments">Number of composite subdivision partitions. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="ContourIntegrateTwoPoint" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>ContourIntegrateTwoPoint</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd)</h4>
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<div class="content">Direct 2-point approximation of the definite integral in the provided interval by the trapezium rule.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, Complex>">Func<double, Complex></span></code> f</h6>
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<p class="comments">The analytic smooth complex function to integrate, defined on real domain. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.Numerics.Complex">Complex</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="IntegrateAdaptive" class="method">
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<h4><span title="System.double">double</span> <strong>IntegrateAdaptive</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.double">double</span> targetError)</h4>
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<div class="content">Adaptive approximation of the definite integral in the provided interval by the trapezium rule.
|
|
|
|
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<div class="parameters">
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|
<h5>Parameters</h5>
|
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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|
<p class="comments">The analytic smooth function to integrate. </p>
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|
<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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|
<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> targetError</h6>
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<p class="comments">The expected accuracy of the approximation. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="IntegrateAdaptiveTransformedOdd" class="method">
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<h4><span title="System.double">double</span> <strong>IntegrateAdaptiveTransformedOdd</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.Collections.Generic.IEnumerable<Double[]>">IEnumerable<Double[]></span> levelAbscissas, <span title="System.Collections.Generic.IEnumerable<Double[]>">IEnumerable<Double[]></span> levelWeights, <span title="System.double">double</span> levelOneStep, <span title="System.double">double</span> targetRelativeError)</h4>
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<div class="content">Adaptive approximation of the definite integral by the trapezium rule.
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|
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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<p class="comments">The analytic smooth function to integrate. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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<h6><code><span title="System.Collections.Generic.IEnumerable<Double[]>">IEnumerable<Double[]></span></code> levelAbscissas</h6>
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<p class="comments">Abscissa vector per level provider. </p>
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<h6><code><span title="System.Collections.Generic.IEnumerable<Double[]>">IEnumerable<Double[]></span></code> levelWeights</h6>
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<p class="comments">Weight vector per level provider. </p>
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<h6><code><span title="System.double">double</span></code> levelOneStep</h6>
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<p class="comments">First Level Step </p>
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<h6><code><span title="System.double">double</span></code> targetRelativeError</h6>
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<p class="comments">The expected relative accuracy of the approximation. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="IntegrateComposite" class="method">
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<h4><span title="System.double">double</span> <strong>IntegrateComposite</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.int">int</span> numberOfPartitions)</h4>
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<div class="content">Composite N-point approximation of the definite integral in the provided interval by the trapezium rule.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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<p class="comments">The analytic smooth function to integrate. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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<h6><code><span title="System.int">int</span></code> numberOfPartitions</h6>
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<p class="comments">Number of composite subdivision partitions. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="IntegrateTwoPoint" class="method">
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<h4><span title="System.double">double</span> <strong>IntegrateTwoPoint</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd)</h4>
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<div class="content">Direct 2-point approximation of the definite integral in the provided interval by the trapezium rule.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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<p class="comments">The analytic smooth function to integrate. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts, inclusive and finite. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops, inclusive and finite. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="footer">
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<p>Based on v4.13.0.0 of MathNet.Numerics (Math.NET Numerics)</p>
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<p>Generated by <a href="http://docu.jagregory.com">docu</a></p>
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