Publication Type:

Journal Article

Source:

International Journal of Mathematical Analysis, Volume 4, Number 17-20, p.921-928 (2010)

URL:

http://www.scopus.com/inward/record.url?eid=2-s2.0-77953533522&partnerID=40&md5=ee333669e6cb1ec2d35b4fbbcaea620b

Abstract:

In this paper it is proposed to compute the volume integral of certain functions whose antiderivates with respect to one of the variates (say either x or y or z) is available. Then by use of the well known Gauss Divergence theorem, it can be shown that the volume integral of such a function is expressible as sum of four integrals over the unit triangle. The present method can also evaluate the triple integrals of trivariate polynomials over an arbitrary tetrahedron as a special case. It is also demonstrated that certain integrals which are nonpolynomial functions of trivariates x, y, z can be computed by the proposed method. Then we have applied the symmetric Gauss Legendre quadrature rules to evaluate the typical integrals governed by the proposed method.

Notes:

cited By (since 1996)1

Cite this Research Publication

K. .V.Nagaraja and Rathod, H. Tb, “Symmetric Gauss Legendre quadrature rules for numerical integration over an arbitrary linear tetrahedra in Euclidean three-dimensional space”, International Journal of Mathematical Analysis, vol. 4, pp. 921-928, 2010.