School of Mathematics

On the global error committed when evaluating the Evans function numerically

Jitse Niesen. "On the global error committed when evaluating the Evans function numerically".
Technical Report HWM 06-43, Dept of Mathematics, Heriot–Watt University, UK, 2006.
E-print math.NA/0611855 at the Los Alamos arXiv.
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Abstract

The Evans function is a tool for assessing the stability of travelling wave solutions for partial differential equations. A recent paper (Malham and Niesen 2006) analyzes the order reduction experienced when evaluating the Evans function numerically. The details of some lengthy calculations were excluded from that paper for clarity. The purpose of this technical report is to make these details publicly available. The report is not intended to be read on its own; the reader is referred to Malham and Niesen (2006) for background and references.