Semi-Analytical ERKN Integrators for Solving High-Dimensional Nonlinear Wave Equations

Xinyuan Wu () and Bin Wang ()
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Xinyuan Wu: Nanjing University, Department of Mathematics
Bin Wang: Xi’an Jiaotong University, School of Mathematics and Statistics

Chapter Chapter 13 in Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, 2021, pp 427-458 from Springer

Abstract: Abstract Incorporating the operator-variation-of-constants formula for high-dimensional nonlinear wave equations with Fast Fourier Transform techniques in this chapter, we present a class of semi-analytical ERKN integrators, which can nearly preserve the spatial continuity as well as the oscillations of the underlying nonlinear waves equations.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-0147-7_13

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DOI: 10.1007/978-981-16-0147-7_13

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