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Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II
| Content Provider | Scilit |
|---|---|
| Author | Goldberg, Moshe Tadmor, Eitan |
| Copyright Year | 1981 |
| Description | Convenient stability criteria are obtained for difference approximations to initial-boundary value problems associated with the hyperbolic system ${{\mathbf {u}}_t} = A{{\mathbf {u}}_x} + B{\mathbf {u}} + {\mathbf {f}}$ in the quarter plane $x \geqslant 0$, $t \geqslant 0$. The approximations consist of arbitrary basic schemes and a wide class of boundary conditions. The new criteria are given in terms of the outflow part of the boundary conditions and are independent of the basic scheme. The results easily imply that a number of well-known boundary treatments, when used in combination with arbitrary stable basic schemes, always maintain stability. Consequently, many special cases studied in recent literature are generalized. |
| Related Links | https://www.ams.org/mcom/1981-36-154/S0025-5718-1981-0606519-9/S0025-5718-1981-0606519-9.pdf |
| Ending Page | 626 |
| Page Count | 24 |
| Starting Page | 603 |
| ISSN | 00255718 |
| e-ISSN | 10886842 |
| DOI | 10.2307/2007665 |
| Journal | Mathematics of Computation |
| Issue Number | 154 |
| Volume Number | 36 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1981-04-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Physics Boundary Independent Mathbf Geqslant Hyperbolic Treatments Arbitrary Basic Schemes |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Algebra and Number Theory Computational Mathematics |
