Long-Time Momentum and Actions Behaviour of Energy-Preserving Methods for 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 14 in Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, 2021, pp 459-496 from Springer

Abstract: Abstract Wave equations have physically very important properties which should be respected by numerical schemes in order to predict correctly the solution over a long-time period. In this chapter, the long-time behaviour of momentum and actions for energy-preserving methods are analysed in detail for semilinear wave equations.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-0147-7_14

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DOI: 10.1007/978-981-16-0147-7_14

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