Avoiding stability-induced inefficiencies in BDF methods
type: Item
instance of: scholarly article
title: Avoiding stability-induced inefficiencies in BDF methods
zbMATH Open document ID: 0699.65067
DOI: 10.1016/0377-0427(90)90017-T
author: Kris Stewart
published in: Journal of Computational and Applied Mathematics
publication date: 1990-01-01T00:00:00Z
review text: The backward differentiation formulas (BDF) are often dismissed in the numerical solution of ODEs, especially ODEs arising from semidiscretization of time-dependent PDEs. This is due to their poor stability behaviour near the imaginary axis for orders three and above. The author examines the behaviour in details and explains why and for what problems this happens, what the appropriate tactic should be, and why this is not the tactic in most traditional automatic codes. She presents an idea avoiding this inefficiency.
reviewed by: Taketomo Mitsui
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4147438
zbMATH Keywords: order selection
zbMATH Keywords: stiff ODE
zbMATH Keywords: region of stability
zbMATH Keywords: backward differentiation formulas
zbMATH Keywords: automatic codes
describes a project that uses: LSODE
MaRDI profile type: Publication
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full work available at URL: 0377-0427(90)90017-t
OpenAlex ID: W1978450334
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description: scientific article; zbMATH DE number 4147438