Source Codes in F90

WANDZURA

WANDZURA è un programma in FORTRAN90 che utilizza l'aritmetica double precision , che fornisce una delle 6 regole di Wandzura per la quadratura triagolare di ordine.

WANDZURA è un programma in FORTRAN90 che utilizza l'aritmetica double precision , che fornisce una delle 6 regole di Wandzura per la quadratura triagolare di ordine.

Related Data and Programs:

• CLENSHAW_CURTIS is a FORTRAN90 library which can set up a Clenshaw Curtis quadrature grid in multiple dimensions.
• DUNAVANT is a FORTRAN90 library of routines for defining Dunavant rules for quadrature in a triangle.
• FEKETE is a FORTRAN90 library of routines for defining Fekete rules for interpolation or quadrature on a triangle.
• FEM_SAMPLE is a FORTRAN90 library of routines for evaluating a finite element function defined on an order 3 or order 6 triangulation.
• FEMPACK is a FORTRAN90 library of routines for finite element calculations.
• NCC_TRIANGLE is a FORTRAN90 library defining Newton-Cotes closed quadrature rules on a triangle.
• NCO_TRIANGLE is a FORTRAN90 library defining Newton-Cotes open quadrature rules on a triangle.
• NINTLIB is a FORTRAN90 library containing a variety of routines for numerical estimation of integrals in multiple dimensions.
• QUADRULE is a FORTRAN90 library for defining quadrature rules on a variety of intervals with different weight functions.
• STROUD is a FORTRAN90 library containing quadrature rules for a variety of unusual areas, surfaces and volumes in 2D, 3D and N-dimensions.
• TEST_TRI_INT is a FORTRAN90 library of functions that can be used to test algorithms for quadrature over a triangle.
• TOMS612 is a FORTRAN77 library of routines which can estimate the integral of a function over a triangle.
• TOMS706 is a FORTRAN77 library which estimates the integral of a function over a triangulated region.
• WANDZURA is also available in a C++ version and a MATLAB version

Reference:

1. James Lyness, Dennis Jespersen,
2. Moderate Degree Symmetric Quadrature Rules for the Triangle,
3. Journal of the Institute of Mathematics and its Applications,
4. Volume 15, Number 1, February 1975, pages 19-32.
5. Stephen Wandzura, Hong Xiao,
6. Symmetric Quadrature Rules on a Triangle,
7. Computers and Mathematics with Applications,
8. Volume 45, Number 12, June 2003, pages 1829-1840.

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