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A General and Effective Numerical Integration Method to Evaluate Triple Integrals Using Generalized Gaussian Quadrature

Publication Type : Journal Article

Publisher : Procedia Engineering

Source : Procedia Engineering, Elsevier, Volume 127, p.1041–1047 (2015)

Url : http://www.sciencedirect.com/science/article/pii/S1877705815038175

Campus : Bengaluru

School : School of Engineering

Department : Mathematics

Year : 2015

Abstract : A general and effective numerical integration formula to evaluate all triple integrals with finite limits is proposed in this paper. The formula is derived by transforming the domain of integration to a zero-one cube. The general derivation along with results over specific regions like cuboid, tetrahedron, prism, pyramid and few regions having planar and non-planar faces is provided. Numerical results also are tabulated to validate the formula.

Cite this Research Publication : Sarada Jayan and Dr. K.V. Nagaraja, “A General and Effective Numerical Integration Method to Evaluate Triple Integrals Using Generalized Gaussian Quadrature”, Procedia Engineering, vol. 127, pp. 1041–1047, 2015.

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