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SPARSE_GRID_TOTAL_POLY - Total Polynomial Approximation with Sparse Grids
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SPARSE_GRID_TOTAL_POLY <br> Total Polynomial Approximation with Sparse Grids
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<p>
<b>SPARSE_GRID_TOTAL_POLY</b>
is a MATLAB library which
investigates the limits of total polynomial approximation
using sparse grids.
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Licensing:
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<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
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Related Data and Programs:
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<p>
<a href = "../../m_src/nint_exactness/nint_exactness.html">
NINT_EXACTNESS</a>,
a MATLAB program which
measures the polynomial exactness of an M-dimensional quadrature rule
defined over a finite rectangular product region.
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<p>
<a href = "../../m_src/sparse_grid_cc/sparse_grid_cc.html">
SPARSE_GRID_CC</a>,
a MATLAB library which
creates sparse grids based on Clenshaw-Curtis rules.
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Reference:
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<p>
<ol>
<li>
Philip Davis, Philip Rabinowitz,<br>
Methods of Numerical Integration,<br>
Second Edition,<br>
Dover, 2007,<br>
ISBN: 0486453391,<br>
LC: QA299.3.D28.
</li>
</ol>
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Source Code:
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<p>
<ul>
<li>
<a href = "ccc_nested_rule.m">ccc_nested_rule.m</a>
computes the nested Clenshaw Curtis Closed rule.
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<li>
<a href = "ccc_rule.m">ccc_rule.m</a>
computes a Clenshaw Curtis closed rule.
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<a href = "cco_nested_rule.m">cco_nested_rule.m</a>
computes the nested Clenshaw Curtis Open rule.
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<li>
<a href = "cco_rule.m">cco_rule.m</a>
computes a Clenshaw Curtis open rule.
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<li>
<a href = "ccoh_nested_rule.m">ccoh_nested_rule.m</a>
computes the nested Clenshaw Curtis Open Half rule.
</li>
<li>
<a href = "ccoh_rule.m">ccoh_rule.m</a>
computes a Clenshaw Curtis Open Half rule.
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<li>
<a href = "i4_log_2.m">i4_log_2.m</a>
returns the integer part of the logarithm base 2 of |I|.
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<li>
<a href = "lagrange_factor.m">lagrange_factor.m</a>
evaluates the polynomial Lagrange factor at a point.
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<li>
<a href = "nc_compute.m">nc_compute.m</a>
computes a Newton-Cotes quadrature rule.
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<li>
<a href = "ncc_nested_rule.m">ncc_nested_rule.m</a>
computes the nested Newton Cotes Closed rule.
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<li>
<a href = "ncc_rule.m">ncc_rule.m</a>
computes the Newton Cotes Closed rule.
</li>
<li>
<a href = "nco_nested_rule.m">nco_nested_rule.m</a>
computes the nested Newton Cotes Open rule.
</li>
<li>
<a href = "nco_rule.m">nco_rule.m</a>
computes the Newton Cotes Open rule.
</li>
<li>
<a href = "ncoh_nested_rule.m">ncoh_nested_rule.m</a>
computes the nested Newton Cotes Open Half rule.
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<li>
<a href = "ncoh_rule.m">ncoh_rule.m</a>
Newton Cotes Open Half quadrature rule.
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<li>
<a href = "ccc_rule.m">ccc_rule.m</a>
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<li>
<a href = "timestamp.m">timestamp.m</a>
prints the current YMDHMS date as a timestamp.
</li>
<li>
<a href = "vdc_numerator_sequence.m">vdc_numerator_sequence.m</a>
van der Corput numerator sequence base 2.
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<li>
<a href = "vdc_sequence.m">vdc_sequence.m</a>
N elements of a van der Corput sequence base 2
</li>
</ul>
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Examples and Tests:
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<p>
<ul>
<li>
<a href = "sparse_grid_total_poly_test.m">sparse_grid_total_poly_test.m</a>
tests the SPARSE_GRID_TOTAL_POLY library by calling all the tests.
</li>
<li>
<a href = "sparse_grid_total_poly_test_output.txt">
sparse_grid_total_poly_test_output.txt</a>
the output file.
</li>
<li>
<a href = "point_quality_test.m">point_quality_test.m</a>
computes the point quality for quadrature rules.
</li>
<li>
<a href = "rule_test.m">rule_test.m</a>
tests a rule simply by printing out some examples of it.
</li>
<li>
<a href = "rules_test.m">rules_test.m</a>
calls RULE_TEST for each of the rules.
</li>
<li>
<a href = "weight_quality_test.m">weight_quality_test.m</a>
computes the weight quality for quadrature rules.
</li>
</ul>
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<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
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<i>
Last revised on 03 February 2011.
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