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Minimal cubature rules on an unbounded domain

2013/01/14 by Yuan Xu, Xu, Yuan
Engineering · Mathematics · #41A05 #65D05 #65D32} #Advanced Numerical Analysis Techniques #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1301.2859

openalex publication_date 2013/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A family of minimal cubature rules is established on an unbounded domain, which is the first such family known on unbounded domains. The nodes of such cubature rules are common zeros of certain orthogonal polynomials on the unbounded domain, which are also constructed.

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