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Economical symmetrical quadrature rules for complete polynomials over a square domain
Author(s) -
Dunavant D. A.
Publication year - 1985
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.1620211004
Subject(s) - clenshaw–curtis quadrature , gauss–kronrod quadrature formula , gauss–jacobi quadrature , gauss–laguerre quadrature , tanh sinh quadrature , gaussian quadrature , gauss–hermite quadrature , numerical integration , mathematics , quadrature (astronomy) , adaptive quadrature , square (algebra) , domain (mathematical analysis) , mathematical analysis , nyström method , computer science , geometry , integral equation , engineering , control theory (sociology) , control (management) , artificial intelligence , electrical engineering
It is of interest in numerical analysis to develop symmetrical quadrature rules for integration of complete polynomial functions over a square domain with minimum computational effort. Gaussian product quadrature rules integrate such functions with maximum effort. Symmetrical quadrature rules are developed and presented for integration of complete polynomial functions up to 21st order with minimum computational effort.