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

Michael Levitin, Marco Marletta · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2008

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.

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