Condon, Marissa, Deaño, Alfredo, Gao, Jing, Iserles, Arieh (2014) Asymptotic solvers for second-order differential equation systems with multiple frequencies. Calcolo, 51 (1). pp. 109-139. ISSN 0008-0624. E-ISSN 1126-5434. (doi:10.1007/s10092-013-0078-4) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70213)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: https://doi.org/10.1007/s10092-013-0078-4 |
Abstract
In this paper, an asymptotic expansion is constructed to solve second-order differential equation systems with highly oscillatory forcing terms involving multiple frequencies. An asymptotic expansion is derived in inverse of powers of the oscillatory parameter and its truncation results in a very effective method of dicretizing the differential equation system in question. Numerical experiments illustrate the effectiveness of the asymptotic method in contrast to the standard Runge-Kutta method
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1007/s10092-013-0078-4 |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Alfredo Deano Cabrera |
| Date Deposited: | 20 Nov 2018 17:55 UTC |
| Last Modified: | 17 Aug 2022 11:02 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/70213 (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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