Publications (Google Scholar Profile)

Numerical analysis on PDEs

Convergence analysis of a second-order semi-implicit projection method for Landau-Lifshitz equation
Jingrun Chen, Cheng Wang, Changjian Xie. Applied Numerical Mathematics (Accepted), 2021 . Outstanding winner

Error analysis of a linear numerical scheme for the Landau-Lifshitz equation with large damping parameters
Yongyong Cai, Jingrun Chen, Cheng Wang, Changjian Xie. Mathematical Methods in the Applied Sciences (Accepted), 2023 .

Micromagnetics simulations

A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters
Yongyong Cai, Jingrun Chen, Cheng Wang, Changjian Xie. Journal of Computational Physics (Accepted), 2022.

Second-order semi-implicit projection methods for micromagnetics simulations
Changjian Xie, Carlos J. García-Cervera, Cheng Wang, Zhennan Zhou and Jingrun Chen. Journal of Computational Physics (Accepted), 2020.

Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation
Panchi Li, Changjian Xie, Rui Du, Jingrun Chen and Xiaoping Wang. Journal of Computational Physics (Accepted), 2019.

Absorbing boundry condition for wave equations

A machine-learning method for time-dependent wave equations over unbounded domains
Changjian Xie, Xiantao Li and Jingrun Chen. ArXiv:2101.05807, 2022.