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Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
| Content Provider | Scilit |
|---|---|
| Author | Tadmor, Eitan |
| Copyright Year | 1984 |
| Description | Consider a scalar, nonlinear conservative difference scheme satisfying the entropy condition. It is shown that difference schemes containing more numerical viscosity will necessarily converge to the unique, physically relevant weak solution of the approximated conservative equation. In particular, entropy satisfying convergence follows for E schemes--those containing more numerical viscosity than Godunov's scheme. |
| Related Links | https://www.ams.org/mcom/1984-43-168/S0025-5718-1984-0758189-X/S0025-5718-1984-0758189-X.pdf |
| Ending Page | 381 |
| Page Count | 13 |
| Starting Page | 369 |
| ISSN | 00255718 |
| e-ISSN | 10886842 |
| DOI | 10.2307/2008282 |
| Journal | Mathematics of Computation |
| Issue Number | 168 |
| Volume Number | 43 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1984-10-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Physics Difference Equations Satisfiability Nonlinearity Convergence Numerical Analysis Viscosity Entropy Weak Solution Difference Equation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Algebra and Number Theory Computational Mathematics |