Stability and Resonances of Multistep Cosine Methods

Autor:	B. Cano, M. J. Moreta, Paseo Belen
Rok vydání:	2012
Předmět:	Backward differentiation formula Computational Mathematics Mathematical analysis Stability (learning theory) Trigonometric functions Type (model theory) Wave equation Hamiltonian (control theory) Mathematics Linear multistep method
Zdroj:	Journal of Computational Mathematics. 30:517-532
ISSN:	1991-7139 0254-9409
DOI:	10.4208/jcm.1203-m3487
Popis:	In a previous paper, some particular multistep cosine methods were constructed which proved to be very efficient because of being able to integrate i n 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.
Databáze:	OpenAIRE
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