Solving the wave equation with multifrequency oscillations

Marissa Condon; Arieh Iserles; Karolina Kropielnicka; Pranav Singh

doi:10.3934/jcd.2019012

Solving the wave equation with multifrequency oscillations

Marissa Condon, Arieh Iserles, Karolina Kropielnicka, Pranav Singh

Research output: Contribution to journal › Article › peer-review

6 Citations (SciVal)

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Abstract

We explore a new asymptotic-numerical solver for the time-dependent wave equation with an interaction term that is oscillating in time with a very high frequency. The method involves representing the solution as an asymptotic series in inverse powers of the oscillation frequency. Using the new scheme, high accuracy is achieved at a low computational cost. Salient features of the new approach are highlighted by a numerical example.

Original language	English
Pages (from-to)	239-249
Number of pages	11
Journal	Journal of Computational Dynamics
Volume	6
Issue number	2
DOIs	https://doi.org/10.3934/jcd.2019012
Publication status	Published - 31 Dec 2019

Funding

The work of Karolina Kropielnicka in this project has been financed by The National Center for Science, based on grant 2016/23/D/ST1/02061.

Keywords

Asymptotic expansion
Asymptotic-numerical solver
Exponential splittings
Highly oscillatory
Wave equation

ASJC Scopus subject areas

Computational Mechanics
Computational Mathematics

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10.3934/jcd.2019012

Marissa Wave Paper.PDF
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Journal of Computational Dynamics following peer review. The definitive publisher-authenticated version Condon, M, Iserles, A, Kropielnicka, K & Singh, P 2019, 'Solving the wave equation with multifrequency oscillations', Journal of Computational Dynamics, vol. 6, no. 2, pp. 239-249 is available online at: https://www.aimsciences.org/article/doi/10.3934/jcd.2019012
Accepted author manuscript, 259 KBLicence: Unspecified

Cite this

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Solving the wave equation with multifrequency oscillations

Abstract

Funding

Keywords

ASJC Scopus subject areas

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