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NUMERICAL INTEGRATION OVER IRREGULAR DOMAINS USING GENERALIZED GAUSSIAN QUADRATURE
S. Jayan,K. V. Nagaraja 장전수학회 2015 Proceedings of the Jangjeon mathematical society Vol.18 No.1
A numerical integration formula is derived in this paper to evaluate integrals over a two, three and n-dimensional closed irregular region, the boundary of which is given in polar coordinates. In each case the region is transformed to a square, cube and an n-cube respec- tively, using transformation of variables. Generalized Gaussian quad- rature nodes and weights for one-dimension are applied in the product formula derived. Numerical results over selected domains are tabulated.
Numerical integration over n-dimensional cubes using generalized Gaussian quadrature
S. Jayan,K.V. Nagaraja 장전수학회 2014 Proceedings of the Jangjeon mathematical society Vol.17 No.1
Numerical integration over n-dimensional cubes using generalized Gaussian quadrature