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Numerical integration over irregular domains using generalized Gaussian quadrature

Publication Type : Journal Article

Publisher : Proceedings of the Jangjeon Mathematical Society

Source : Proceedings of the Jangjeon Mathematical Society, vol. 18, pp. 21–30, 2015.

Url : https://www.researchgate.net/publication/272161167_Numerical_Integration_over_Irregular_Domains_using_Generalized_Gaussian_quadrature

Campus : Bengaluru

School : School of Engineering

Department : Mathematics

Year : 2015

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 respectively, using transformation of variables. Generalized Gaussian quadrature nodes and weights for one-dimension are applied in the product formula derived. Numerical results over selected domains are tabulated.

Cite this Research Publication : Sarada Jayan and Dr. K.V. Nagaraja, “Numerical integration over irregular domains using generalized Gaussian quadrature”, Proceedings of the Jangjeon Mathematical Society, vol. 18, pp. 21–30, 2015.


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