N. Kopteva, M. Stynes, E. O'Riordan

Robust methods for nonlinear singularly perturbed differential equations

This minisymposium is concerned with nonlinear singularly perturbed differential equations such as semilinear reaction-diffusion problems, quasilinear parabolic convection-diffusion equations, flows in porous media, and the modelling of catalytic chemical reactions and of turbulence. The talks deal with methods that are "robust" for such problems, i.e., that yield accurate approximations of the solution for a broad range of values of the singular perturbation parameter. This includes numerical methods for which numerical experiments demonstrate robustness for a wide range of values of the parameter, even though no theoretical proof of convergence exists.