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IdeaDRIP:

	- Crank-Nicolson Method - Example: 1D Diffusion with Advection for Steady Flow, with Multiple Channel Connections #1 (1-14)
	- Crank-Nicolson Method - Example: 2D Diffusion (15-29)
	- Crank-Nicolson Method - Example: For Non-linear Problems (30-46)
	- Crank-Nicolson Method - Application in Financial Mathematics (47-52)
	- Crank-Nicolson Method - Introduction (53-62)
	- Crank-Nicolson Method - Principle (63-80)
	- Crank-Nicolson Method - Example: 1D Diffusion (81-86)
	- Crank-Nicolson Method - Example: 1D Diffusion with Advection for Steady Flow, with Multiple Channel Connections #2 (87-112)
	- Crank-Nicolson Method - Example: 2D Diffusion #2 (113-120)
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Lakshmik committed Jun 23, 2024
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31 changes: 18 additions & 13 deletions Javadoc/constant-values.html
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<title>Constant Field Values</title>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
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<li>
<div class="constants-summary">
<table class="summary-table">
<caption><span>org.drip.numerical.linearalgebra.<a href="org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html" title="class in org.drip.numerical.linearalgebra">SuccessiveOverRelaxationSolverSetting</a></span></caption>
<caption><span>org.drip.numerical.iterativesolver.<a href="org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationIteratorSetting</a></span></caption>
<thead>
<tr>
<th class="col-first" scope="col">Modifier and Type</th>
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</thead>
<tbody>
<tr class="alt-color">
<td class="col-first"><code id="org.drip.numerical.linearalgebra.SuccessiveOverRelaxationSolverSetting.ABSOLUTE_LEVEL_THRESOLD_DEFAULT">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#ABSOLUTE_LEVEL_THRESOLD_DEFAULT">ABSOLUTE_LEVEL_THRESOLD_DEFAULT</a></code></th>
<td class="col-first"><code id="org.drip.numerical.iterativesolver.SuccessiveOverRelaxationIteratorSetting.ABSOLUTE_LEVEL_THRESOLD_DEFAULT">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#ABSOLUTE_LEVEL_THRESOLD_DEFAULT">ABSOLUTE_LEVEL_THRESOLD_DEFAULT</a></code></th>
<td class="col-last"><code>1.0E-6</code></td>
</tr>
<tr class="row-color">
<td class="col-first"><code id="org.drip.numerical.linearalgebra.SuccessiveOverRelaxationSolverSetting.ABSOLUTE_TOLERANCE_DEFAULT">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#ABSOLUTE_TOLERANCE_DEFAULT">ABSOLUTE_TOLERANCE_DEFAULT</a></code></th>
<td class="col-first"><code id="org.drip.numerical.iterativesolver.SuccessiveOverRelaxationIteratorSetting.ABSOLUTE_TOLERANCE_DEFAULT">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#ABSOLUTE_TOLERANCE_DEFAULT">ABSOLUTE_TOLERANCE_DEFAULT</a></code></th>
<td class="col-last"><code>1.0E-8</code></td>
</tr>
<tr class="alt-color">
<td class="col-first"><code id="org.drip.numerical.linearalgebra.SuccessiveOverRelaxationSolverSetting.RELATIVE_TOLERANCE_DEFAULT">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#RELATIVE_TOLERANCE_DEFAULT">RELATIVE_TOLERANCE_DEFAULT</a></code></th>
<td class="col-first"><code id="org.drip.numerical.iterativesolver.SuccessiveOverRelaxationIteratorSetting.RELATIVE_TOLERANCE_DEFAULT">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#RELATIVE_TOLERANCE_DEFAULT">RELATIVE_TOLERANCE_DEFAULT</a></code></th>
<td class="col-last"><code>1.0E-5</code></td>
</tr>
<tr class="row-color">
<td class="col-first"><code id="org.drip.numerical.linearalgebra.SuccessiveOverRelaxationSolverSetting.RELAXATION_PARAMETER_DEFAULT">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#RELAXATION_PARAMETER_DEFAULT">RELAXATION_PARAMETER_DEFAULT</a></code></th>
<td class="col-first"><code id="org.drip.numerical.iterativesolver.SuccessiveOverRelaxationIteratorSetting.RELAXATION_PARAMETER_DEFAULT">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#RELAXATION_PARAMETER_DEFAULT">RELAXATION_PARAMETER_DEFAULT</a></code></th>
<td class="col-last"><code>0.5</code></td>
</tr>
<tr class="alt-color">
<td class="col-first"><code id="org.drip.numerical.linearalgebra.SuccessiveOverRelaxationSolverSetting.SOR_ITERATION_LIMIT_DEFAULT">public&nbsp;static&nbsp;final&nbsp;int</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#SOR_ITERATION_LIMIT_DEFAULT">SOR_ITERATION_LIMIT_DEFAULT</a></code></th>
<td class="col-first"><code id="org.drip.numerical.iterativesolver.SuccessiveOverRelaxationIteratorSetting.RELAXATION_PARAMETER_GAUSS_SEIDEL">public&nbsp;static&nbsp;final&nbsp;double</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#RELAXATION_PARAMETER_GAUSS_SEIDEL">RELAXATION_PARAMETER_GAUSS_SEIDEL</a></code></th>
<td class="col-last"><code>1.0</code></td>
</tr>
<tr class="row-color">
<td class="col-first"><code id="org.drip.numerical.iterativesolver.SuccessiveOverRelaxationIteratorSetting.SOR_ITERATION_LIMIT_DEFAULT">public&nbsp;static&nbsp;final&nbsp;int</code></td>
<th class="col-second" scope="row"><code><a href="org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#SOR_ITERATION_LIMIT_DEFAULT">SOR_ITERATION_LIMIT_DEFAULT</a></code></th>
<td class="col-last"><code>100</code></td>
</tr>
</tbody>
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<title>Deprecated List</title>
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org.drip.numerical.estimation
org.drip.numerical.fourier
org.drip.numerical.integration
org.drip.numerical.iterativesolver
org.drip.numerical.laplacian
org.drip.numerical.linearalgebra
org.drip.numerical.quadrature
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org.drip.sample.simmvariance
org.drip.sample.simplex
org.drip.sample.softheap
org.drip.sample.sor
org.drip.sample.sovereign
org.drip.sample.spline
org.drip.sample.statistics
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<dd>
<div class="block">The ABSOLUTE Criterion Unit</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#ABSOLUTE_LEVEL_THRESOLD_DEFAULT">ABSOLUTE_LEVEL_THRESOLD_DEFAULT</a></span> - Static variable in class org.drip.numerical.linearalgebra.<a href="../org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html" title="class in org.drip.numerical.linearalgebra">SuccessiveOverRelaxationSolverSetting</a></dt>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#ABSOLUTE_LEVEL_THRESOLD_DEFAULT">ABSOLUTE_LEVEL_THRESOLD_DEFAULT</a></span> - Static variable in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationIteratorSetting</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#ABSOLUTE_TOLERANCE_DEFAULT">ABSOLUTE_TOLERANCE_DEFAULT</a></span> - Static variable in class org.drip.numerical.linearalgebra.<a href="../org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html" title="class in org.drip.numerical.linearalgebra">SuccessiveOverRelaxationSolverSetting</a></dt>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#ABSOLUTE_TOLERANCE_DEFAULT">ABSOLUTE_TOLERANCE_DEFAULT</a></span> - Static variable in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationIteratorSetting</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#absoluteLevelThreshold()">absoluteLevelThreshold()</a></span> - Method in class org.drip.numerical.linearalgebra.<a href="../org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html" title="class in org.drip.numerical.linearalgebra">SuccessiveOverRelaxationSolverSetting</a></dt>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#absoluteLevelThreshold()">absoluteLevelThreshold()</a></span> - Method in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationIteratorSetting</a></dt>
<dd>
<div class="block">Retrieve the Threshold for Absolute Convergence Check</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/function/rdtor1solver/ConvergenceControl.html#absoluteTolerance()">absoluteTolerance()</a></span> - Method in class org.drip.function.rdtor1solver.<a href="../org/drip/function/rdtor1solver/ConvergenceControl.html" title="class in org.drip.function.rdtor1solver">ConvergenceControl</a></dt>
<dd>
<div class="block">Retrieve the Absolute Tolerance</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html#absoluteTolerance()">absoluteTolerance()</a></span> - Method in class org.drip.numerical.linearalgebra.<a href="../org/drip/numerical/linearalgebra/SuccessiveOverRelaxationSolverSetting.html" title="class in org.drip.numerical.linearalgebra">SuccessiveOverRelaxationSolverSetting</a></dt>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html#absoluteTolerance()">absoluteTolerance()</a></span> - Method in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationIteratorSetting.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationIteratorSetting</a></dt>
<dd>
<div class="block">Retrieve the Absolute Tolerance for Convergence</div>
</dd>
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Expand Down Expand Up @@ -309,6 +309,41 @@ <h2 class="title" id="I:J">J</h2>
<div class="block"><i>JacobiEstimator</i> exposes the Stubs for estimating the Jacobi Function and its Jacobian using the 2F1
Hyper-geometric Function.</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/linearalgebra/Matrix.html#JacobiIteration(double%5B%5D%5B%5D)">JacobiIteration(double[][])</a></span> - Static method in class org.drip.numerical.linearalgebra.<a href="../org/drip/numerical/linearalgebra/Matrix.html" title="class in org.drip.numerical.linearalgebra">Matrix</a></dt>
<dd>
<div class="block">Construct a Jacobi Iteration Matrix from the Square Matrix</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceAnalyzer.html#jacobiIterationMatrix()">jacobiIterationMatrix()</a></span> - Method in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceAnalyzer.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationConvergenceAnalyzer</a></dt>
<dd>
<div class="block">Retrieve the Jacobi Iteration Matrix</div>
</dd>
<dt><a href="../org/drip/sample/sor/JacobiIterationMatrix.html" title="class in org.drip.sample.sor"><span class="type-name-link">JacobiIterationMatrix</span></a> - Class in <a href="../org/drip/sample/sor/package-summary.html">org.drip.sample.sor</a></dt>
<dd>
<div class="block"><i>JacobiIterationMatrix</i> illustrates the Construction of the Jacobi Iteration Matrix for SOR
Convergence.</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/sample/sor/JacobiIterationMatrix.html#%3Cinit%3E()">JacobiIterationMatrix()</a></span> - Constructor for class org.drip.sample.sor.<a href="../org/drip/sample/sor/JacobiIterationMatrix.html" title="class in org.drip.sample.sor">JacobiIterationMatrix</a></dt>
<dd>&nbsp;</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceAnalyzer.html#jacobiIterationMatrixRealEigenvalues()">jacobiIterationMatrixRealEigenvalues()</a></span> - Method in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceAnalyzer.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationConvergenceAnalyzer</a></dt>
<dd>
<div class="block">Indicate if the Jacobi Iteration Matrix has Real Eigenvalues</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceCheck.html#jacobiIterationMatrixRealEigenvalues()">jacobiIterationMatrixRealEigenvalues()</a></span> - Method in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceCheck.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationConvergenceCheck</a></dt>
<dd>
<div class="block">Indicate if the Jacobi Iteration Matrix has Real Eigenvalues</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceAnalyzer.html#jacobiIterationMatrixSpectralRadius()">jacobiIterationMatrixSpectralRadius()</a></span> - Method in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceAnalyzer.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationConvergenceAnalyzer</a></dt>
<dd>
<div class="block">Retrieve the Jacobi Iteration Matrix Spectral Radius</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceAnalyzer.html#jacobiSpectralRadiusVerification()">jacobiSpectralRadiusVerification()</a></span> - Method in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceAnalyzer.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationConvergenceAnalyzer</a></dt>
<dd>
<div class="block">Indicate if the Jacobi Spectral Radius satisfies Convergence Check</div>
</dd>
<dt><span class="member-name-link"><a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceCheck.html#jacobiSpectralRadiusVerification()">jacobiSpectralRadiusVerification()</a></span> - Method in class org.drip.numerical.iterativesolver.<a href="../org/drip/numerical/iterativesolver/SuccessiveOverRelaxationConvergenceCheck.html" title="class in org.drip.numerical.iterativesolver">SuccessiveOverRelaxationConvergenceCheck</a></dt>
<dd>
<div class="block">Indicate if the Jacobi Spectral Radius satisfies Convergence Check</div>
</dd>
<dt><a href="../org/drip/sample/bondmetrics/Jaipur.html" title="class in org.drip.sample.bondmetrics"><span class="type-name-link">Jaipur</span></a> - Class in <a href="../org/drip/sample/bondmetrics/package-summary.html">org.drip.sample.bondmetrics</a></dt>
<dd>
<div class="block"><i>Jaipur</i> generates the Full Suite of Replication Metrics for Bond Jaipur.</div>
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