Continuity of approximation by least-squares multivariate Padé approximants
type: Item
instance of: scholarly article
title: Continuity of approximation by least-squares multivariate Padé approximants
zbMATH Open document ID: 0942.41010
DOI: 10.1016/S0377-0427(99)00177-6
author: Alain Huard
author: Vincent Robin
published in: Journal of Computational and Applied Mathematics
publication date: 2000-08-17T00:00:00Z
review text: The least-squares multivariate Padé approximants (LSPA) are the multivariate approximants with coefficients defined by minimizing a weighted least-square form. The authors prove that if a family of meromorphic functions \(u_h\) (\(h\) is a parameter tending to zero) converges to a meromorphic function \(u\), then the LSPA to \(u_h\) with fixed degree of denominator converges also to \(u\). This property allows to apply the LSPA to approximate the solution of partial differential equations problems depending on some parameters.
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 1423322
zbMATH Keywords: Padé approximation
zbMATH Keywords: application to mechanics
MaRDI profile type: Publication
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cites work: Q4146054
full work available at URL: s0377-0427(99)00177-6
OpenAlex ID: W2033290228
description: scientific article; zbMATH DE number 1423322