On the relationship between the stochastic Galerkin method and the pseudo-spectral collocation method for linear differential algebraic equations

Polynomial chaos-based methods have been extensively applied in electrical and other engineering problems for the stochastic simulation of systems with uncertain parameters. Most of the implementations are based on either the intrusive stochastic Galerkin method or on non-intrusive collocation appro...

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Bibliographic Details
Published in:	Journal of engineering mathematics Vol. 108; no. 1; pp. 73 - 90
Main Authors:	Manfredi, Paolo, De Zutter, Daniël, Vande Ginste, Dries
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.02.2018 Springer Nature B.V
Subjects:	Algebra Applications of Mathematics Collocation methods Computational Mathematics and Numerical Analysis Differential equations Factorization Galerkin method Mathematical analysis Mathematical and Computational Engineering Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Parameter uncertainty Polynomials Spectral methods Theoretical and Applied Mechanics Stochastic Galerkin method Stochastic collocation method Matrix factorization Polynomial chaos Linear differential algebraic equations Orthogonal polynomials
ISSN:	0022-0833, 1573-2703
Online Access:	Get full text
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