- Stability of time-dependent schemes (linear)
- Hyperbolic problems
- Convection diffusion problems
- Nonlinear conservation laws
- Approximate methods for nonlinear conservation laws
- Non-oscillatory central schemes
- Approximate methods -- spectral schemes
- Image processing
- Eigensolvers
CentPack:
A package of high-resolution central schemes for nonlinear conservation laws
Selected references on
•
Entropy stability •
Convergence rate •
Spectral viscosity •
Hierrachical decompositions •
Critical thresholds
Acknowledgement. The research presented in these publications has been
sponsored by the National Science Foundation Grants
DMS 97-06827, DMS 01-07428, DMS 01-07917, DMS 04-07704, DMS 07-07949, DMS FRG 07-57227,
DMS 10-08397 and RNMS 11-07444 (KI-Net), by the Office of Naval Research Grants N00014-91-J-1076, N00014-09-1-0385 N00014-15-12094 and by other US Government Agencies.
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