GENERALIZED GAUSSIAN QUADRATURE RULES OVER AN N-DIMENSIONAL BALL

Authors

  • Sarada Jayan
  • K.V. Nagaraja

Keywords:

Quadrature rules, transformation, Jacobian

Abstract

A nearly-optimal quadrature rule is developed to evaluate integrals over an n-dimensional ball, using an effective transformation which maps an n-dimensional ball to an n-dimensional cube and then again to a zero-one n-cube. The derivation of this formula over a 2-dimensional ball (circular disc), a 3-dimensional ball (sphere) and an ndimensional ball is given along with numerical results for various types of integrals.

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Published

2017-09-25

How to Cite

Sarada Jayan, & K.V. Nagaraja. (2017). GENERALIZED GAUSSIAN QUADRATURE RULES OVER AN N-DIMENSIONAL BALL . Pakistan Journal of Biotechnology, 14(3), 423–428. Retrieved from https://pjbt.org/index.php/pjbt/article/view/553

Issue

Vol. 14 No. 3 (2017): Pak. J. Biotechnology

Section

Research Articles

License

Copyright (c) 2021 Sarada Jayan, K.V. Nagaraja

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.