107 citations · 334 across the 17 of their papers we have counts for
8 papers · 1 filter
A two-step symmetric method for charged-particle dynamics in a normal or strong magnetic feld
Bin Wang, Xinyuan Wu, Yonglei Fang
The study of the long time conservation for numerical methods poses interesting and challenging questions from the point of view of geometric integration. In this paper, we analyze…
Long-time momentum and actions behaviour of energy-preserving methods for semilinear wave equations via spatial spectral semi-discretizations
Bin Wang, Xinyuan Wu
As is known that 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…
Long-time oscillatory energy conservation of total energy-preserving methods for highly oscillatory Hamiltonian systems
Bin Wang, Xinyuan Wu
For an integrator when applied to a highly oscillatory system, the near conservation of the oscillatory energy over long times is an important aspect. In this paper, we study the l…
Volume-preserving exponential integrators
Bin Wang, Xinyuan Wu
As is known that various dynamical systems including all Hamiltonian systems preserve volume in phase space. This qualitative geometrical property of the analytical solution should…
Long-term analysis of symplectic or symmetric extended RKN methods for nonlinear wave equations
Bin Wang, Xinyuan Wu
This paper analyses the long-time behaviour of one-stage symplectic or symmetric extended Runge--Kutta--Nyström (ERKN) methods when applied to nonlinear wave equations. It is shown…
Long-time analysis of extended RKN integrators for Hamiltonian systems with a solution-dependent high frequency
Bin Wang, Xinyuan Wu
In this paper, we analyse the long-time behaviour of the extended RKN (ERKN) integrators for solving highly oscillatory Hamiltonian systems with a slowly varying, solution-dependen…
Exponential collocation methods for the cubic Schrödinger equation
Bin Wang, Xinyuan Wu
In this paper we derive and analyse new exponential collocation methods to efficiently solve the cubic Schrödinger Cauchy problem on a -dimensional torus. Energy preservation is…
Error analysis of one-stage explicit extended RKN integrators for semilinear wave equations
Bin Wang, Xinyuan Wu
In this paper, we present an error analysis of one-stage explicit extended Runge--Kutta--Nyström integrators for semilinear wave equations. These equations are analysed by using sp…