A spectral method for the time evolution in parabolic problems
type: Item
instance of: scholarly article
title: A spectral method for the time evolution in parabolic problems
zbMATH Open document ID: 1129.65073
author: A. Y. Suhov
published in: Journal of Scientific Computing
publication date: 2007-01-30T00:00:00Z
review text: The author develops an improved approximation for solving time-dependent inhomogeneous parabolic initial-boundary value problems. The method is based on a Chebyshev series expansion. Having relaxed the stability criterion the spectral accuracy in time is achieved. The approximation derived in the paper can be useful for solving quasi-linear parabolic evolution problems by exponential time differencing methods.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35K30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 5119745
zbMATH Keywords: spectral methods
zbMATH Keywords: Chebyshev expansion
zbMATH Keywords: parabolic initial-boundary value problem
zbMATH Keywords: stability
zbMATH Keywords: quasi-linear parabolic evolution problems
zbMATH Keywords: exponential time differencing methods
MaRDI profile type: Publication
full work available at URL: s10915-005-9001-8
OpenAlex ID: W2062502986
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DOI: 10.1007/S10915-005-9001-8
description: scientific article; zbMATH DE number 5119745