chebyshev2_rule


chebyshev2_rule, a Python code which generates a specific Gauss-Chebyshev type 2 quadrature rule, based on user input.

The rule is written to three files for easy use as input to other programs.

The Gauss-Chevbyshev type 2 quadrature rule is used as follows:

        Integral ( A <= x <= B ) f(x)  sqrt ( ( x - A ) * ( B - x ) ) dx
      
is to be approximated by
        Sum ( 1 <= i <= order ) w(i) * f(x(i))
      

Usage:

chebyshev2_rule ( order, a, b, 'filename' )
where

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

chebyshev2_rule is available in a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

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Source Code:


Last revised on 18 May 2023.