doi:10.1063/1.4992149engBrugnano, L.Calvo, M.Montijano, J.I.Rández, L.Fourier methods for oscillatory differential problems with a constant high frequencyART-2017-100819The numerical solution of highly oscillatory initial value problems of second order with a unique high frequency is considered. 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.2017http://zaguan.unizar.es/record/7110210.1063/1.4992149http://zaguan.unizar.es/record/71102oai:zaguan.unizar.es:71102info:eu-repo/grantAgreement/ES/MICINN/MTM2013-47318-C2-1-PAIP Conference Proceedings 1863 (2017), 020003 [4 pp]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess