A simple method of calculating eigenvalues and resonances in domains with infinite regular ends

Details A simple method of calculating eigenvalues and resonances in domains with infinite regular ends A simple method of calculating eigenvalues and resonances in domains with infinite regular ends

2006-11-08

arxiv.org/abs/math/0611237v2

Mathematics

Spectral Theory

27 pages; 7 figures; final revised version; to appear in Proc. Royal Soc. Edinb

Scientific paper

A new approach is presented for the solution of spectral problems on infinite domains with regular ends, which avoids the need to solve boundary value problems for many trial values of the spectral parameter. We present numerical results both for eigenvalues and for resonances, comparing with results reported by Aslanyan, Parnovski and Vassiliev [{\em Q. J. Mech. Appl. Math.} {\bfseries 53} (2000), 429--447].

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