54 citations · 225 across the 20 of their papers we have counts for
5 papers · 1 filter
Optimal convergence of a second order low-regularity integrator for the KdV equation
Yifei Wu, Xiaofei Zhao
In this paper, we establish the optimal convergence result of a second order exponential-type integrator from (136, Numer. Math., 2017) for solving the KdV equation under rough ini…
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou +2
In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong magnetic field. Whenever the magnetic field has constant intensity…
Low-regularity integrators for nonlinear Dirac equations
Katharina Schratz, Yan Wang, Xiaofei Zhao
In this work, we consider the numerical integration of the nonlinear Dirac equation and the Dirac-Poisson system (NDEs) under rough initial data. We propose a ultra low-regularity…
A uniformly and optimally accurate method for the Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime
Chunmei Su, Xiaofei Zhao
We present a uniformly and optimally accurate numerical method for solving the Klein-Gordon-Zakharov (KGZ) system with two dimensionless parameters and , which…
Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
Weizhu Bao
Different efficient and accurate numerical methods have recently been proposed and analyzed for the nonlinear Klein-Gordon equation (NKGE) with a dimensionless parameter $\varepsil…