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Asymptotic solvers for ordinary differential equations with multiple frequencies

Condon, Marissa, Deaño, Alfredo, Gao, Jing, Iserles, Arieh (2015) Asymptotic solvers for ordinary differential equations with multiple frequencies. Science China Mathematics, 58 (11). pp. 2279-2300. ISSN 1674-7283. (doi:10.1007/s11425-015-5066-5) (KAR id:51342)

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We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focusing on the case of multiple, non-commensurate frequencies. We derive an asymptotic expansion in inverse powers of the oscillatory parameter and use its truncation as an exceedingly effective means to discretize the differential equation in question. Numerical examples illustrate the effectiveness of the method.

Item Type: Article
DOI/Identification number: 10.1007/s11425-015-5066-5
Additional information: Full text upload complies with Journal requirements
Uncontrolled keywords: highly oscillatory problems ordinary differential equation modulated Fourier expansions multiple frequencies numerical analysis
Subjects: Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus
Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Alfredo Deano Cabrera
Date Deposited: 02 Nov 2015 11:51 UTC
Last Modified: 16 Feb 2021 13:29 UTC
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