Name
Title | ||
|---|---|---|
Anti-Dissipative Schemes for Advection and Application to Hamilton-Jacobi-Bellmann Equations |
Abstract | ||
|---|---|---|
We propose two new antidiffusive schemes for advection (or linear transport), one of them being a mixture of Roe's Super-Bee scheme and of the "Ultra-Bee" scheme. We show how to apply these schemes to treat time-dependent first order Hamilton---Jacobi---Bellman equations with discontinuous initial data, possibly infinitely-valued. Numerical tests are proposed, in one and two space dimensions, in order to validate the methods |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s10915-005-9017-0 | J. Sci. Comput. |
Keywords | Field | DocType |
discontinuous initial data,bellman equation,super-bee limiter,hamilton-jacobi-bellman equation.,hamilton-jacobi-bellmann equations,new antidiffusive scheme,ultra-bee limiter,anti-dissipative schemes,advection equation,numerical test,antidiffusive scheme,super-bee scheme,space dimension,order hamilton,linear transport,hamilton jacobi bellman equation | Hamilton–Jacobi–Bellman equation,Numerical tests,Mathematical optimization,First order,Mathematical analysis,Dissipative system,MUSCL scheme,Advection,Mathematics,Hamilton jacobi | Journal |
Volume | Issue | ISSN |
30 | 1 | 1573-7691 |
Citations | PageRank | References |
11 | 1.80 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Olivier Bokanowski | 1 | 98 | 12.07 |
| Hasnaa Zidani | 2 | 101 | 17.27 |