A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations

We introduce a new methodology to design uniformly accurate methods for oscillatory evolution equations. The targeted models are envisaged in a wide spectrum of regimes, from non-stiff to highly oscillatory. Thanks to an averaging transformation, the stiffness of the problem is softened, allowing fo...

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Bibliographic Details
Published in:	Foundations of computational mathematics Vol. 20; no. 1; pp. 1 - 33
Main Authors:	Chartier, Philippe, Lemou, Mohammed, Méhats, Florian, Vilmart, Gilles
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.02.2020 Springer Nature B.V Springer Verlag
Subjects:	Applications of Mathematics Computer Science Economics Evolution Linear and Multilinear Algebras Math Applications in Computer Science Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Stiffness Standard averaging Uniform accuracy Highly oscillatory problems Stroboscopic averaging 65L20 35K15 Pullback method 74Q10 Micro–macro method uniform accuracy AMS subject classification : 65L20 pullback method standard averaging uniform accuracy micro-macro method stroboscopic averaging highly-oscillatory problems
ISSN:	1615-3375, 1615-3383
Online Access:	Get full text
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