Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 5 : pp. 517–532
Abstract
In a previous paper, some particular multistep cosine methods were constructed which proved to be very efficient because of being able to integrate in a stable and explicit way linearly stiff problems of second-order in time. In the present paper, the conditions which guarantee stability for general methods of this type are given, as well as a thorough study of resonances and filtering for symmetric ones (which, in another paper, have been proved to behave very advantageously with respect to conservation of invariants in Hamiltonian wave equations). What is given here is a systematic way to analyse and treat any of the methods of this type in the mentioned aspects.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1203-m3487
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 5 : pp. 517–532
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Exponential integrators Multistep cosine methods Second-order partial differential equations Stability Resonances.
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