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.