Smoothing \(A\) properties and approximation of time derivatives for parabolic equations: Variable time steps
type: Item
instance of: scholarly article
title: Smoothing \(A\) properties and approximation of time derivatives for parabolic equations: Variable time steps
zbMATH Open document ID: 1049.65092
author: Y. Yan
published in: BIT
publication date: 2004-06-11T00:00:00Z
review text: A homogeneous parabolic problem is formulated as an abstract initial value problem in Banach space. Smoothing properties and approximation of time derivatives for time-discretization schemes with variable time steps are studied. The time-stepping is based on rational approximations of the exponential function and is \(A(\Theta)\)-stable for suitable \(\Theta\) with unit bounded maximum norm. First- and second-order approximations are treated.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65J10
zbMATH DE Number: 2073457
zbMATH Keywords: parabolic equations
zbMATH Keywords: smoothing
zbMATH Keywords: time derivatives
zbMATH Keywords: error estimates
zbMATH Keywords: variable time steps
zbMATH Keywords: abstract initial value problem
zbMATH Keywords: Banach space
reviewed by: Thomas Sonar
MaRDI profile type: Publication
full work available at URL: b:bitn.0000007061.40742.4e
OpenAlex ID: W2006605039
DOI: 10.1023/B:BITN.0000007061.40742.4E
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description: scientific article; zbMATH DE number 2073457