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

Marletta, M. and Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265 (2008) A simple method of calculating eigenvalues and resonances in domains with infinite regular ends. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 138 (5). pp. 1043-1065. ISSN 0308-2105 doi: 10.1017/S0308210506001144

Abstract/Summary

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.