A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations. - Shanqin Chen; Weinan E; Yunxian Liu; Chi-Wang Shu (J. Comput. Phys., 2007)

A class of stable spectral methods for the Cahn-Hilliard equation. - Li-ping He; Yunxian Liu (J. Comput. Phys., 2009)

Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. - Haijin Wang; Yunxian Liu; Qiang Zhang 018; Chi-Wang Shu (Math. Comput., 2019)

Optimal L2 error estimates of stabilizer-free weak Galerkin finite element method for the drift-diffusion problem. - Wenjuan Li 005; Yunxian Liu; Fuzheng Gao; Jintao Cui (J. Comput. Appl. Math., 2024)

A weak Galerkin finite element method for 1D semiconductor device simulation models. - Wenjuan Li 005; Yunxian Liu; Fuzheng Gao; Jintao Cui (J. Comput. Appl. Math., 2024)