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Numerical integration over n-dimensional cubes using generalized gaussian quadrature

Publication Type : Journal Article

Publisher : Proceedings of the Jangjeon Mathematical Society

Source : Proceedings of the Jangjeon Mathematical Society, Volume 17, Number 1, p.63-69 (2014)

Url : https://www.scopus.com/inward/record.url?eid=2-s2.0-84893752102&partnerID=40&md5=a5f389d3fe50f334208f452314313702

Campus : Bengaluru

School : School of Engineering

Department : Mathematics

Year : 2014

Abstract : This paper gives a numerical integration rule for integrating functions over any n-dimensional cube. The rule is derived using a simple linear transformation of the given n-cube to a zero-one cube. The prescribed method is proved to be superior in a certain sense to the existing integration formulae. The performance of the method is illustrated for different type of integrands over different n-dimensional cubes.

Cite this Research Publication : Sarada Jayan and Dr. K.V. Nagaraja, “Numerical integration over n-dimensional cubes using generalized gaussian quadrature”, Proceedings of the Jangjeon Mathematical Society, vol. 17, pp. 63-69, 2014.

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