Name
Abstract | ||
|---|---|---|
In this paper, a class of high order non-oscillatory methods based on relaxation approximation for solving Hamilton-Jacobi equations is presented. The relaxation approximation transforms the nonlinear weakly hyperbolic equations to a semilinear strongly hyperbolic system with linear characteristic speeds and stiff source terms. The main ideas are to apply the weighted essentially non-oscillatory (WENO) reconstruction for the spatial discretization and an implicit-explicit method for the temporal integration. To illustrate the performance of the method, numerical results are carried out on several test problems for the two-dimensional Hamilton-Jacobi equations with both convex and nonconvex Hamiltonians. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.amc.2006.05.066 | Applied Mathematics and Computation |
Keywords | Field | DocType |
hyperbolic equation,source term | Discretization,Nonlinear system,Hamilton–Jacobi equation,Mathematical analysis,Relaxation (iterative method),L-stability,Numerical analysis,Mathematics,Multigrid method,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
183 | 1 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mapundi K. Banda | 1 | 93 | 21.08 |
| Mohammed Seaïd | 2 | 54 | 16.35 |