Time filters increase accuracy of the fully implicit method
type: Item
instance of: scholarly article
title: Time filters increase accuracy of the fully implicit method
zbMATH Open document ID: 1444.65026
author: Ahmet Guzel
author: William Layton
published in: BIT
publication date: 2018-06-26T00:00:00Z
review text: The authors study the effect of adding a simple time filter to the fully implicit (or backward) Euler method. The approach requires the inclusion of only one line of additional code, where a straight forward error estimation is applicable and is adaptable to a variable time step. It is shown that the backward Euler method with a curvature reducing time filter induces an equivalent \(2\)-step second-order \(A\)-stable linear multistep method. Numerical experiments using benchmark problems show good accordance with the proposed method.
reviewed by: Kanakadurga Sivakumar
Mathematics Subject Classification ID: 65L04
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 6894725
zbMATH Keywords: time filter
zbMATH Keywords: linear multistep method
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: s10543-018-0695-z
OpenAlex ID: W2791068112
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DOI: 10.1007/S10543-018-0695-Z
description: scientific article; zbMATH DE number 6894725