In this work we remark on the error estimation in cubature formulae. Methods from Commutative Algebra and Orthogonal Polynomial Theory are combined to address a problem common to many disciplines: the estimation of the expected value of a polynomial of a random vector using a linear combination of a finite number of its values. We study in particular the error for a special class of nodes.
On error evaluation for interpolatory cubature formulae
FASSINO, CLAUDIA;RICCOMAGNO, EVA
2014-01-01
Abstract
In this work we remark on the error estimation in cubature formulae. Methods from Commutative Algebra and Orthogonal Polynomial Theory are combined to address a problem common to many disciplines: the estimation of the expected value of a polynomial of a random vector using a linear combination of a finite number of its values. We study in particular the error for a special class of nodes.
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