Year: 2013
Journal of Computational Mathematics, Vol. 31 (2013), Iss. 6 : pp. 549–572
Abstract
We explore new asymptotic-numeric solvers for partial differential equations with highly oscillatory forcing terms. Such methods represent the solution as an asymptotic series, whose terms can be evaluated by solving non-oscillatory problems and they guarantee high accuracy at a low computational cost. We consider two forms of oscillatory forcing terms, namely when the oscillation is in time or in space: each lends itself to different treatment. Numerical examples highlight the salient features of the new approach.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1307-m3955
Journal of Computational Mathematics, Vol. 31 (2013), Iss. 6 : pp. 549–572
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Diffusion-type PDEs High oscillation Asymptotic expansions Modulated Fourier expansions.