Lina Wang

collaborators

2 papers

math.NA2025

Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime

Lina Wang, Bin Wang, Jiyong Li

In this paper, we propose two novel fourth-order integrators that exhibit uniformly high accuracy and long-term near conservations for solving the nonlinear Dirac equation (NLDE) i…

math.NA2023

$h p$ -version $C^{1}$ -continuous Petrov-Galerkin method for nonlinear second-order initial value problems with application to wave equations

Lina Wang, Mingzhu Zhang, Hongjiong Tian +1

We introduce and analyze an $h p$ -version $C^{1}$ -continuous Petrov-Galerkin (CPG) method for nonlinear initial value problems of second-order ordinary differential equations. We deri…

Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime

hp-version C1-continuous Petrov-Galerkin method for nonlinear second-order initial value problems with application to wave equations

$h p$ -version $C^{1}$ -continuous Petrov-Galerkin method for nonlinear second-order initial value problems with application to wave equations