CLENSHAW_CURTIS_RULE is a MATLAB program which generates a Clenshaw Curtis quadrature rule based on user input.
The rule is written to three files for easy use as input to other programs.
The standard Clenshaw Curtis quadrature rule is used as follows:
Integral ( A <= x <= B ) f(x) dx
is to be approximated by
Sum ( 1 <= i <= order ) w(i) * f(x(i))
clenshaw_curtis_rule ( order, a, b, 'filename' )where
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
CLENSHAW_CURTIS_RULE is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
ALPERT_RULE, a MATLAB library which can set up an Alpert quadrature rule for functions which are regular, log(x) singular, or 1/sqrt(x) singular.
CCN_RULE, a MATLAB program which defines a nested Clenshaw Curtis quadrature rule.
CHEBYSHEV1_RULE, a MATLAB program which can compute and print a Gauss-Chebyshev type 1 quadrature rule.
CHEBYSHEV2_RULE, a MATLAB program which can compute and print a Gauss-Chebyshev type 2 quadrature rule.
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GEN_LAGUERRE_RULE, a MATLAB program which can compute and print a generalized Gauss-Laguerre quadrature rule.
HERMITE_RULE, a MATLAB program which can compute and print a Gauss-Hermite quadrature rule.
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JACOBI_RULE, a MATLAB program which can compute and print a Gauss-Jacobi quadrature rule.
LAGUERRE_RULE, a MATLAB program which can compute and print a Gauss-Laguerre quadrature rule.
LEGENDRE_RULE, a MATLAB program which can compute and print a Gauss-Legendre quadrature rule.
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PATTERSON_RULE, a MATLAB program which computes a Gauss-Patterson quadrature rule.
POWER_RULE, a MATLAB program which constructs a power rule, that is, a product quadrature rule from identical 1D factor rules.
QUADRATURE_RULES_CLENSHAW_CURTIS, a dataset directory which contains quadrature rules for integration on [-1,+1], using a Clenshaw Curtis rule.
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