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Gaussian quadrature formulas for triangles
Author(s) -
Cowper G. R.
Publication year - 1973
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620070316
Subject(s) - gaussian quadrature , mathematics , gauss–kronrod quadrature formula , gaussian , numerical integration , clenshaw–curtis quadrature , quadrature (astronomy) , tanh sinh quadrature , gaussian function , function (biology) , gauss–jacobi quadrature , gauss–laguerre quadrature , mathematical analysis , gauss–hermite quadrature , geometry , integral equation , nyström method , physics , quantum mechanics , evolutionary biology , biology , optics
Several formulas are presented for the numerical integration of a function over a triangular area. The formulas are of the Gaussian type and are fully symmetric with respect to the three vertices of the triangle.