https://github.com/jacobwilliams/kronrod

Program for generating Gauss-Kronrod Coefficients
https://github.com/jacobwilliams/kronrod

fortran fortran-package-manager gauss-kronrod gauss-kronrod-quadrature quadpack

Last synced: about 6 hours ago
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Program for generating Gauss-Kronrod Coefficients

• Host: GitHub
• URL: https://github.com/jacobwilliams/kronrod
• Owner: jacobwilliams
• License: lgpl-2.1
• Created: 2022-01-10T04:11:36.000Z (almost 3 years ago)
• Default Branch: master
• Last Pushed: 2022-01-16T03:38:24.000Z (almost 3 years ago)
• Last Synced: 2024-01-29T08:48:41.947Z (9 months ago)
• Topics: fortran, fortran-package-manager, gauss-kronrod, gauss-kronrod-quadrature, quadpack
• Language: Fortran
• Homepage:
• Size: 506 KB
• Stars: 5
• Watchers: 3
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# kronrod

Fortran program for generating Gauss-Kronrod coefficients.

Uses the [MPFUN2020](https://github.com/jacobwilliams/mpfun2020-var1) arbitrary precision Fortran library.

The purpose of this is to use it for the new modernized [QUADPACK](https://github.com/jacobwilliams/quadpack) library.

### Building

A [Fortran Package Manager](https://github.com/fortran-lang/fpm) manifest file is included, so that the application can be compiled and run with FPM. For example:

```

fpm run --profile release

```

### See also

 * Modernized [QUADPACK](https://github.com/jacobwilliams/quadpack) library.

### References

 * The main program is based on this code: https://people.sc.fsu.edu/~jburkardt/f_src/kronrod/kronrod.html, which was modified to use the MPFUN2020 library.

 * Robert Piessens, Maria Branders, "[A Note on the Optimal Addition of Abscissas to Quadrature Formulas of Gauss and Lobatto](https://www.ams.org/journals/mcom/1974-28-125/S0025-5718-1974-0343552-5/S0025-5718-1974-0343552-5.pdf)", Mathematics of Computation, Volume 28, Number 125, January 1974, pages 135-139.

 * David H. Bailey, [MPFUN2020: A new thread-safe arbitrary precision package (Full Documentation)](https://www.davidhbailey.com/dhbpapers/mpfun2020.pdf), January 9, 2022