Avoiding BDF stability barriers in the MOL solution of advection- dominated problems
type: Item
instance of: scholarly article
title: Avoiding BDF stability barriers in the MOL solution of advection- dominated problems
zbMATH Open document ID: 0832.65102
DOI: 10.1016/0168-9274(95)00036-T
author: A. C. Hindmarsh
published in: Applied Numerical Mathematics
publication date: 1996-03-05T00:00:00Z
review text: The author describes a procedure to detect the stability limit responsible for the difficulty. From it a detection algorithm can be added to the order selection logic in an experimental version of the ordinary differential equation solver VODE. The effectiveness of this algorithm in lowering the order to avoid the stability limit is illustrated by the numerical test on an advection-diffusion problem.
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 803529
zbMATH Keywords: BDF integrator
zbMATH Keywords: method of lines
zbMATH Keywords: stability
zbMATH Keywords: detection algorithm
zbMATH Keywords: advection-diffusion problem
reviewed by: Qin Meng Zhao
describes a project that uses: VODE
MaRDI profile type: Publication
cites work: Q3993493
cites work: VODE: A Variable-Coefficient ODE Solver
cites work: Q4036823
cites work: A Test for Instability in the Numerical Solution of Ordinary Differential Equations
cites work: Q4117285
cites work: The control of order and steplength for backward differentiation methods
full work available at URL: 0168-9274(95)00036-t
OpenAlex ID: W2041339019
description: scientific article; zbMATH DE number 803529