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

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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

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To link to this item 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.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:18233
Publisher:University of Cambridge
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