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.
2017
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016)
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016)
Rodhes (Greece)
L. Brugnano, M. Calvo, J.I. Montijano, L. Randez
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1091619
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