chebyshev1_rule, a FORTRAN90 code which generates a specific Gauss-Chebyshev type 1 quadrature rule, based on user input.
The rule is written to three files for easy use as input to other codes.
The Gauss Chevbyshev type 1 quadrature rule is used as follows:
Integral ( A <= x <= B ) f(x) / sqrt ( ( x - A ) * ( B - x ) ) dxis to be approximated by
Sum ( 1 <= i <= order ) w(i) * f(x(i))
chebyshev1_rule order a b filenamewhere
The computer code and data files made available on this web page are distributed under the MIT license
chebyshev1_rule is available in a C++ version and a FORTRAN90 version and a MATLAB version.
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