NUMERICAL INTEGRATION OVER IRREGULAR DOMAINS USING GENERALIZED GAUSSIAN QUADRATURE
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초록
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.
Abstract
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.
참고문헌 (12)
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