Numerical Analysis Seminars: Stability analysis of travelling wave solutions using the Evans function
27 February 2004 14:00 in CM105
"Travelling waves are solutions to partial differential equations that move with constant speed while maintaining their shape. In this talk, we study travelling waves for the Gray-Scott model, which is a system of nonlinear reaction-diffusion equations. To analyze the linear stability of these travelling waves, we need to locate the spectrum of the linearized differential operator. The Evans function is a tool to do this. Evaluating the Evans function entails solving a nonautonomous linear ordinary differential equation. We will show that the Magnus method is well-suited for this task. "
Contact David.Bourne@durham.ac.uk for more information