On the use of spectral methods for the numerical solution of stiff problems
type: Item
instance of: scholarly article
title: On the use of spectral methods for the numerical solution of stiff problems
zbMATH Open document ID: 0652.65084
DOI: 10.1016/0045-7825(88)90058-8
author: H. Guillard
author: R. Peyret
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
full work available at URL: RR-0553.pdf
review text: The authors consider some aspects of the applications of spectral methods to the numerical solutions of systems of stiff partial differential equations. It is shown that the technique of coordinate transform permits both to lower the stiffness of the problem and to keep the accuracy of the spectral calculation. Both the cases for the time dependent and time independent are discussed in details. Examples are given to illustrate the efficiency of the techniques presented in this paper.
reviewed by: Muhammad Aslam Noor
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4064419
zbMATH Keywords: stiff problems
zbMATH Keywords: numerical examples
zbMATH Keywords: flame propagation problems
zbMATH Keywords: Burger's equation
zbMATH Keywords: spectral methods
zbMATH Keywords: coordinate transform
MaRDI profile type: Publication
OpenAlex ID: W2043609986
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description: scientific article; zbMATH DE number 4064419