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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Numerical Analysis Seminars: Stability analysis of travelling wave solutions using the Evans function

Presented by Dr. Jitse Niesen (Heriot-Watt University),

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. "

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