4 papers
Construction and analysis of an explicit fourth-order symmetric low-regularity integrator for the semilinear Klein-Gordon equation
Bin Wang, Zhen Miao, Yaolin Jiang
In this paper, we propose and analyse a novel explicit fourth-order symmetric low-regularity trigonometric integrator for the semilinear Klein-Gordon equation with non-smooth solut…
Solving nonlinear Klein-Gordon equation with non-smooth solution by a geometric low-regularity integrator
Bin Wang, Zhen Miao, Yaolin Jiang
In this paper, we formulate and analyse a geometric low-regularity integrator for solving the nonlinear Klein-Gordon equation in the -dimensional space with . The integ…
Two-scale exponential integrators with uniform accuracy for three-dimensional charged-particle dynamics under strong magnetic field
Bin Wang, Zhen Miao, Yaolin Jiang
The numerical simulation of three-dimensional charged-particle dynamics (CPD) under strong magnetic field is a basic and challenging algorithmic task in plasma physics. In this pap…
Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
Bin Wang, Zhen Miao, Yaolin Jiang
In this paper, we are concerned with two-scale integrators for the non-relativistic Klein--Gordon (NRKG) equation with a dimensionless parameter , which is inve…