gen_hermite_rule, a C++ code which generates a specific generalized Gauss-Hermite quadrature rule, based on user input.
The rule is written to three files for easy use as input to other programs.
The generalized Gauss Hermite quadrature rule is used as follows:
Integral ( -oo < x < +oo ) |x-a|^alpha * exp( - b * ( x - a)^2 ) f(x) dxis to be approximated by
Sum ( 1 <= i <= order ) w(i) * f(x(i))
gen_hermite_rule order alpha a b filenamewhere
The computer code and data files described and made available on this web page are distributed under the MIT license
gen_hermite_rule is available in a C++ version and a FORTRAN90 version and a MATLAB version
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