Titlebook: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions; Xinyuan Wu,Bin Wang Book 2021 The Editor(s) (if applic

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Long-Time Momentum and Actions Behaviour of Energy-Preserving Methods for Wave Equations,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.

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978-981-16-0149-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

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Rodrigo Uprimny,Diana Esther Guzmáne as many as possible the geometric/physical properties of them, we first introduce the concept of oscillation preservation for Runge–Kutta–Nystr?m (RKN)-type methods and then analyse the oscillation-preserving behaviour of RKN-type methods in detail. This chapter is also accompanied by numerical ex

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