3 papers
math.NA2026
A Curve-Reference Exponential Integrator for Three-Dimensional Charged-Particle Dynamics under a Strong Nonconstant Magnetic Field
Zhirui Shen, Bin Wang
We study a three-dimensional charged-particle dynamics model in the nonrelativistic momentum formulation and construct a curve-reference exponential integrator (CREI) for this syst…
math.NA2026
An Explicit Symmetric Exponential Integrator and Its Error Estimate for the Relativistic Charged-Particle Dynamics
Zhirui Shen, Bin Wang
This paper investigates the equations of motion for a relativistic charged particle in a general magnetic field. By reformulating the dynamics in four-dimensional spacetime and sep…
math.NA2026
Explicit symmetric low-regularity integrators for the semilinear Klein-Gordon equation
Zhirui Shen, Bin Wang
This paper is concerned with the design and analysis of symmetric low-regularity integrators for the semilinear Klein-Gordon equation. We first propose a general symmetrization pro…