Polynomial Approximation of Anisotropic Analytic Functions of Several Variables

Motivated by numerical methods for solving parametric partial differential equations, this paper studies the approximation of multivariate analytic functions by algebraic polynomials. We introduce various anisotropic model classes based on Taylor expansions, and study their approximation by finite d...

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Bibliographic Details
Published in:	Constructive approximation Vol. 53; no. 2; pp. 319 - 348
Main Authors:	Bonito, Andrea, DeVore, Ronald, Guignard, Diane, Jantsch, Peter, Petrova, Guergana
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2021 Springer Nature B.V
Subjects:	Analysis Analytic functions Approximation Budgets Mathematics Mathematics and Statistics Numerical Analysis Numerical methods Partial differential equations Polynomials 65N15 Anisotropic analyticity 41A58 41A63 Approximations and expansions 41A10 Parametric PDEs
ISSN:	0176-4276, 1432-0940
Online Access:	Get full text
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