Error bounds for the large time step Glimm scheme applied to scalar conservation laws (Q1597700)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Error bounds for the large time step Glimm scheme applied to scalar conservation laws |
scientific article; zbMATH DE number 1747963
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error bounds for the large time step Glimm scheme applied to scalar conservation laws |
scientific article; zbMATH DE number 1747963 |
Statements
Error bounds for the large time step Glimm scheme applied to scalar conservation laws (English)
0 references
30 May 2002
0 references
This paper obtains an error bound in the large time step Glimm difference approximation to the solution of an initial value problem for a single conservation law with convex flux. It describes the Glimm scheme and then derives the error estimate for much larger Courant numbes for a generic class of piecewise constant initial data; the result is indeed analogous to that given earlier for the classical Glimm scheme.
0 references
discontinuous solution
0 references
error bound
0 references
large time step
0 references
Glimm difference approximation
0 references
initial value problem
0 references
conservation law
0 references