Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations
type: Item
instance of: scholarly article
title: Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations
zbMATH Open document ID: 1334.65124
published in: Numerische Mathematik
publication date: 2015-12-30T00:00:00Z
review text: The paper presents a study on the stability and convergence of tie discretizations of quasi-linear parabolic equations With the abstract setting of the problem and stating some preliminaries, the existence and uniqueness of the several approximations in Hilbert spaces are discussed. The authors establish optimal order a priori error bounds for the various difference schemes by energy estimates.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 6524883
zbMATH Keywords: quasi-linear parabolic equations
zbMATH Keywords: implicit finite difference method
zbMATH Keywords: implicit-explicit backward difference scheme
zbMATH Keywords: consistency
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: error bound
author: G. Akrivis
author: Christian Lubich
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: s00211-015-0702-0
OpenAlex ID: W1993309344
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DOI: 10.1007/S00211-015-0702-0
description: scientific article; zbMATH DE number 6524883