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The cubature formula of degree 4 for triangle, tetrahedron and 4-simplex

Stańdo J.

Journal of Applied Computer Science

2003

Vol. 11, nr 1

77-89

Assume that the domain D is multidil1lensional region of integration given by unions of simplices T. Consider [wzór], are approximated by finite sums of the form [wzór], where WiT are weighs and xiT ∈ T are nodes. I present new cubature schemes for triangle, tetrahedron and 4-simplex exact for polynomials of fourth degree and the algorithm computing the integral and control error procedure. Software for the polygon is in the Appendix. Subject Classification AMS 65D32.