3 citations · 10 across the 35 of their papers we have counts for
35 papers
Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems
Xianfa Hu, Wansheng Wang, Bin Wang +1
In this paper, two novel classes of implicit exponential Runge-Kutta (ERK) methods are studied for solving highly oscillatory systems. First of all, we analyze the symplectic condi…
A novel class of linearly implicit energy-preserving schemes for conservative systems
Xicui Li, Bin Wang, Xin Zou
We consider a kind of differential equations d/dt y(t) = R(y(t))y(t) + f(y(t)) with energy conservation. Such conservative models appear for instance in quantum physics, engineerin…
Time exponential integrator Fourier pseudospectral methods with high accuracy and multiple conservation laws for three-dimensional Maxwell's equations
Bin Wang, Yaolin Jiang
Maxwell equations describe the propagation of electromagnetic waves and are therefore fundamental to understanding many problems encountered in the study of antennas and electromag…
Two new classes of exponential Runge-Kutta integrators for efficiently solving stiff systems or highly oscillatory problems
Bin Wang, Xianfa Hu, Xinyuan Wu
We note a fact that stiff systems or differential equations that have highly oscillatory solutions cannot be solved efficiently using conventional methods. In this paper, we study…
Continuous-stage symplectic adapted exponential methods for charged-particle dynamics with arbitrary electromagnetic fields
Ting Li, Bin Wang
This paper is devoted to the numerical symplectic approximation of the charged-particle dynamics (CPD) with arbitrary electromagnetic fields. By utilizing continuous-stage methods…
Semi-discretization and full-discretization with optimal accuracy for charged-particle dynamics in a strong nonuniform magnetic field
Bin Wang, Yaolin Jiang
The aim of this paper is to formulate and analyze numerical discretizations of charged-particle dynamics (CPD) in a strong nonuniform magnetic field. A strategy is firstly performe…