NDLI: On some numerical methods for spectral computations in λ-rational Sturm

Content Provider	Springer Nature Link
Author	Ghelardoni, P. Gheri, G. Marletta, M.
Copyright Year	2002
Abstract	This paper is concerned with the numerical solution of a λ-rational Sturm–Liouville problem. Classical methods are considered in connection with the shooting technique used via the method of Magnus series and boundary value methods. We prove that, in the presence of an eigenvalue embedded in the essential spectrum, these methods exhibit a decay in their performance. Nevertheless some boundary value methods used in a non-standard form behave as in the standard form in regular problems preserving a high order of convergence. Numerical experiments confirm the theory.
Starting Page	109
Ending Page	121
Page Count	13
File Format	PDF
ISSN	00080624
Journal	CALCOLO
Volume Number	39
Issue Number	2
e-ISSN	11265434
Language	English
Publisher	Springer-Verlag
Publisher Date	2002-06-01
Publisher Place	Milano
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Mathematics

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On some numerical methods for spectral computations in λ-rational Sturm–Liouville problems