Large time step generalizations of Glimm's scheme for systems of conservation laws
type: Item
instance of: scholarly article
title: Large time step generalizations of Glimm's scheme for systems of conservation laws
zbMATH Open document ID: 0715.65069
author: Jinghua Wang
published in: Chinese Annals of Mathematics. Series B
publication date: 1988-01-01T00:00:00Z
review text: Two generalizations of Glimm's scheme for Courant numbers larger than 0.5 are discussed. For the first generalization it is shown that for any fixed Courant number if a sequence of approximate solutions converges to a limit u, then u is a weak solution. It is proven that the family of approximate solutions contains a convergent subsequence. For the second generalization it is shown that the family of approximate solutions for a system of isothermal gas dynamics equations contains a convergent subsequence provided that the total variation of the initial data is bounded.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 4178682
zbMATH Keywords: large time step
zbMATH Keywords: Glimm's scheme
zbMATH Keywords: Courant numbers
zbMATH Keywords: weak solution
zbMATH Keywords: system of isothermal gas dynamics equations
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4178682