LAGUERRE_RULE, a C program which generates a specific Gauss-Laguerre quadrature rule, based on user input.
The rule is written to three files for easy use as input to other programs.
The Gauss-Laguerre quadrature rule is used as follows:
Integral ( a <= x < +oo ) exp ( - b * ( x - a ) ) f(x) dxis to be approximated by
Sum ( 1 <= i <= order ) w(i) * f(x(i))
laguerre_rule order a b filenamewhere
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
LAGUERRE_RULE is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
CCN_RULE, a C program which defines a nested Clenshaw Curtis quadrature rule.
CLENSHAW_CURTIS_RULE, a C program which defines a Clenshaw Curtis quadrature rule.
HERMITE_RULE, a C program which can compute and print a Gauss-Hermite quadrature rule.
LAGUERRE_EXACTNESS, a C program which checks the polynomial exactness of a Gauss-Laguerre quadrature rule.
LAGUERRE_POLYNOMIAL, a C library which evaluates the Laguerre polynomial, the generalized Laguerre polynomial, and the Laguerre function.
LEGENDRE_RULE, a C program which computes a Gauss-Legendre quadrature rule.
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PATTERSON_RULE, a C program which computes a Gauss-Patterson quadrature rule.
QUADRATURE_RULES_LAGUERRE, a dataset directory which contains triples of files defining standard Laguerre quadrature rules.
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