The numerical solution of highly oscillatory initial value problems of second order with a unique high frequency is con- sidered. New methods based on Fourier approximations are proposed. These methods can integrate the problems with reasonable stepsizes not dependent on the size of the frequency.
Fourier methods for oscillatory differential problems with a constant high frequency / L. Brugnano, M. Calvo, J.I. Montijano, L. Randez. - ELETTRONICO. - 1863:(2017), pp. 0200031-0200034. (Intervento presentato al convegno INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016) tenutosi a Rodhes (Greece)) [10.1063/1.4992149].
Fourier methods for oscillatory differential problems with a constant high frequency
BRUGNANO, LUIGI;
2017
Abstract
The numerical solution of highly oscillatory initial value problems of second order with a unique high frequency is con- sidered. New methods based on Fourier approximations are proposed. These methods can integrate the problems with reasonable stepsizes not dependent on the size of the frequency.File | Dimensione | Formato | |
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AIP Conf. Proc. 1863 (2017) 020003.pdf
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