求解多频振荡波动方程

IF 1 Q3 Engineering

Journal of Computational Dynamics Pub Date : 2019-12-31 DOI:10.3934/jcd.2019012

M. Condon, A. Iserles, K. Kropielnicka, P. Singh

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引用次数: 5

摘要

我们研究了具有高频随时间振荡的相互作用项的时变波动方程的一种新的渐近数值解。该方法将解表示为振荡频率反幂的渐近级数。使用该方案，可以在较低的计算成本下获得较高的精度。最后通过数值算例说明了该方法的特点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solving the wave equation with multifrequency oscillations

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.

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来源期刊

Journal of Computational Dynamics Engineering-Computational Mechanics

CiteScore

2.30

自引率

10.00%

发文量

期刊介绍： JCD is focused on the intersection of computation with deterministic and stochastic dynamics. The mission of the journal is to publish papers that explore new computational methods for analyzing dynamic problems or use novel dynamical methods to improve computation. The subject matter of JCD includes both fundamental mathematical contributions and applications to problems from science and engineering. A non-exhaustive list of topics includes * Computation of phase-space structures and bifurcations * Multi-time-scale methods * Structure-preserving integration * Nonlinear and stochastic model reduction * Set-valued numerical techniques * Network and distributed dynamics JCD includes both original research and survey papers that give a detailed and illuminating treatment of an important area of current interest. The editorial board of JCD consists of world-leading researchers from mathematics, engineering, and science, all of whom are experts in both computational methods and the theory of dynamical systems.