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

sacrum

Rejuvenate

Drug Repurposing Opportunities in Cancer,al solution should be preserved within the framework of Geometric Integration. This chapter considers the volume-preserving exponential integrators for different vector fields. We first analyse a necessary and sufficient condition of volume preservation for exponential integrators. We then discuss v

Dislocation

Elisa Barbarotto,George A. Calinsystems is called extended discrete gradient method. In this chapter, on the basis of the extended discrete gradient method, we present an efficient approach to devising a structure-preserving scheme for numerically solving conservative (dissipative) nonlinear wave equations. This scheme can preserv

cornucopia

BALE

Molecular Evolution and Phylogeny of , yse the nonlinear stability and convergence when a fully discrete symplectic scheme is designed for nonlinear Hamiltonian PDEs. This chapter presents a symplectic approximation for efficiently solving semilinear Klein–Gordon equations, which can be formulated as an abstract Hamiltonian ordinary diff

代替

HUSH

Trabeculoplasty

DRILL

Asperity

Exponential Collocation Methods for Conservative or Dissipative Systems,arbitrarily high order and preserve exactly or approximately first integrals or Lyapunov functions. In particular, the application of ECMs to stiff gradient systems is discussed in detail, and it turns out that ECMs are unconditionally energy-diminishing and strongly damped even for very stiff gradi