A decomposition method to construct cubature formulae of degree 3

Abstract

Numerical integration formulas in $n$-dimensional Euclidean space of degree three are discussed. For the integrals with permutation symmetry we present a method to construct its third-degree integration formulas with $2n$ real points. We present a decomposition method and only need to deal with $n$ one-dimensional moment problems independently.

15 pages

References in corpus (1)

• Constructing Cubature Formulas of Degree 5 with Few Points