7 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…
Two new families of fourth-order explicit exponential Runge--Kutta methods with four stages for first-order differential systems
Xianfa Hu, Yonglei Fang, Bin Wang
In this paper, two new families of fourth-order explicit exponential Runge--Kutta (ERK) methods with four stages are studied for solving first-order differential systems $y'(t)+My(…
One-stage explicit trigonometric integrators for effectively solving quasilinear wave equations
Bin Wang, Changying Liu, Yonglei Fang
In this paper, one-stage explicit trigonometric integrators for solving quasilinear wave equations are formulated and studied. For solving wave equations, we first introduce trigon…
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-term analysis of exponential integrators for highly oscillatory conservative systems
Bin Wang, Jiyong Li, Yonglei Fang
In this paper, we investigate the long-time near-conservations of energy and kinetic energy by the widely used exponential integrators to highly oscillatory conservative systems. T…
Exponential Fourier collocation methods for solving first-order differential equations
Bin Wang, Xinyuan Wu, Fanwei Meng +1
In this paper, a novel class of exponential Fourier collocation methods (EFCMs) is presented for solving systems of first-order ordinary differential equations. These so-called exp…