Scientific Computation and Visualization
- Computation of invariant and inertial manifolds
-
-
R.D. Russell, D.M. Sloan, and M.R. Trummer , "Some Numerical
Aspects of Computing Inertial Manifolds," SIAM J.Sci.Stat.Comp. 14 (1993), 19-43.
-
R.D. Russell, D.M. Sloan, and M.R. Trummer , "On the structure of Jacobians for spectral methods for nonlinear PDE's," SIAM J. Sci. Stat. Comp. 13 (1992), 541-549.
- Spectral methods for PDEs
-
-
T. Tang, and M.R. Trummer , "Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems," submitted.
-
L.N. Trefethen, and M.R. Trummer , "An instability phenomenon in spectral methods," SIAM J.Numer.Anal. 24 (1987), 1008-1023.
- Multigrid Methods
-
- B. Lee, and M.R. Trummer , "Regularizing Ill-Posed Problems: Experiments with Multilevel Schemes," submitted.
-
B. Lee, and M.R. Trummer , "Multilevel Conformal Mapping via the Szego Kernel," submitted.