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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| Official URL: http://www.dx.doi.org/10.1007/s11425-015-5066-5 |
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Abstract
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 |
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| 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 |
| Funders: |
National Natural Science Foundation of China (https://ror.org/01h0zpd94)
[37325] UNSPECIFIED [37325] UNSPECIFIED [37325] UNSPECIFIED |
| Depositing User: | Alfredo Deano Cabrera |
| Date Deposited: | 02 Nov 2015 11:51 UTC |
| Last Modified: | 05 Nov 2024 10:37 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/51342 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Deaño, Alfredo.
| Creator's ORCID: |
 https://orcid.org/0000-0003-1704-247X
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