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

開玩笑

評論者

頑固

Continuous-Stage ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions,s, sufficient conditions for energy preservation are shown for CSERKN methods. The symmetry and stability of CSERKN integrators are also analysed in detail. Preliminary numerical results highlight the effectiveness of CSERKN methods.

神經(jīng)

細胞學

Exponential Collocation Methods for Conservative or Dissipative Systems,ent systems. As a consequence of this discussion, arbitrary-order trigonometric/RKN collocation methods are also presented and analysed for second-order highly oscillatory/general systems. The chapter is accompanied by numerical results that demonstrate the potential value of this research.

跑過

小隔間

Fermentation

時間等

Volume-Preserving Exponential Integrators,onential integrators are demonstrated. For solving highly oscillatory second-order systems, efficient volume-preserving exponential integrators are derived, and for separable partitioned systems, volume-preserving ERKN integrators are presented. Moreover, volume-preserving RKN methods are also investigated.

persistence