jburkardt

FILON\ Quadrature for Oscillatory Integrands {#filon-quadrature-for-oscillatory-integrands align=”center”} =====================================

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FILON is a C++ library which can approximate integrals in which the integrand includes an oscillatory factor of sin(k*x) or cos(k*x).

Licensing: {#licensing align=”center”}

The computer code and data files made available on this web page are distributed under the GNU LGPL license.

Languages: {#languages align=”center”}

FILON is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs: {#related-data-and-programs align=”center”}

QUADRULE, a C++ library which defines quadrature rules for 1D domains.

Reference: {#reference align=”center”}

1. Stephen Chase, Lloyd Fosdick,\ An Algorithm for Filon Quadrature,\ Communications of the Association for Computing Machinery,\ Volume 12, Number 8, August 1969, pages 453-457.
2. Stephen Chase, Lloyd Fosdick,\ Algorithm 353: Filon Quadrature,\ Communications of the Association for Computing Machinery,\ Volume 12, Number 8, August 1969, pages 457-458.
3. Bo Einarsson,\ Algorithm 418: Calculation of Fourier Integrals,\ Communications of the ACM,\ Volume 15, Number 1, January 1972, pages 47-48.

Source Code: {#source-code align=”center”}

• filon.cpp, the source code.
• filon.hpp, the include file.

Examples and Tests: {#examples-and-tests align=”center”}

• filon_prb.cpp, a sample calling program.
• filon_prb_output.txt, the output file.

List of Routines: {#list-of-routines align=”center”}

• FILON_FUN_COS uses Filon’s method on integrals with a cosine factor.
• FILON_TAB_COS uses Filon’s method on integrals with a cosine factor.
• FILON_FUN_SIN uses Filon’s method on integrals with a sine factor.
• FILON_TAB_SIN uses Filon’s method on integrals with a sine factor.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the C++ source codes.

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Last revised on 20 May 2014.