ABSTRACT
This paper is concerned with various problems involving the interplay of asymptotics and numerics in the analysis of wave propagation in dissipative systems. A general approach to the asymptotic analysis of linear, dissipative waves is developed. We apply it to the derivation of asymptotic boundary conditions for numerical solutions on unbounded domains. Applications include the Navier-Stokes equations. Multidimensional traveling wave solutions to reaction-diffusion equations are also considered. We present a preliminary numerical investigation of a thermo-diffusive model of flame propagation in a channel with heat loss at the walls.
