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Scientific communications

Formulas for the approximate calculation of integrals over the whole plane

A. K. Ponomarenko

Leningrad

Abstract: Cubature formulas with $4s+1$ and $4s-1$ nodes, which have the $(4s-1)$ property and $(4s-3)$ property, respectively, are constructed for the approximate evaluation of an integral over a plane. The nodes of the formulas are common zeros of certain orthogonal polynomials.

UDC: 519.644.7

MSC: Primary 65D32; Secondary 41A55, 41A63

Received: 11.11.1987
Revised: 22.11.1988

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:2, 86–89

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