NDLI: Nontensorial clenshaw-curtis cubature ∗.

Content Provider	CiteSeerX
Author	Zanovello, Renato Sommariva, Alvise Vianello, Marco
Abstract	We extend Clenshaw-Curtis quadrature to the square in a nontensorial way, by using Sloan’s hyperinterpolation theory and two families of points recently studied in the framework of bivariate (hyper)interpolation, namely the Morrow-Patterson-Xu points and the Padua points. The construction is an application of a general approach to product-type cubature, where we prove also a relevant stability theorem. The resulting cubature formulas turn out to be competitive on nonentire integrands with tensorproduct Clenshaw-Curtis and Gauss-Legendre formulas, and even with the few known minimal formulas.
File Format	PDF
Access Restriction	Open
Subject Keyword	Morrow-patterson-xu Point Clenshaw-curtis Quadrature Product-type Cubature Tensorproduct Clenshaw-curtis Padua Point Gauss-legendre Formula General Approach Relevant Stability Theorem Minimal Formula Nonentire Integrands Nontensorial Clenshaw-curtis Cubature Resulting Cubature Formula Nontensorial Way Sloan Hyperinterpolation Theory
Content Type	Text

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