Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations. - Jianfang Lu; Jinwei Fang; Sirui Tan; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2016)

Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems. - Qiang Du 001; Lili Ju; Jianfang Lu (J. Sci. Comput., 2019)

A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. - Qiang Du 001; Lili Ju; Jianfang Lu (Math. Comput., 2019)

A well-balanced oscillation-free discontinuous Galerkin method for shallow water equations. - Yong Liu 019; Jianfang Lu; Qi Tao; Yinhua Xia (CoRR, 2021)

An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations. - Qi Tao; Yong Liu; Yan Jiang; Jianfang Lu (CoRR, 2021)

An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary. - Jianfang Lu; Chi-Wang Shu; Sirui Tan; Mengping Zhang (J. Comput. Phys., 2021)

An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws. - Jianfang Lu; Yong Liu 019; Chi-Wang Shu (SIAM J. Numer. Anal., 2021)

Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations. - Tingting Li; Jianfang Lu; Chi-Wang Shu (J. Comput. Appl. Math., 2022)

An Oscillation-free Discontinuous Galerkin Method for Shallow Water Equations. - Yong Liu 019; Jianfang Lu; Qi Tao; Yinhua Xia (J. Sci. Comput., 2022)

An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems. - Yong Liu 019; Jianfang Lu; Chi-Wang Shu (SIAM J. Sci. Comput., 2022)

Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems. - Qiang Du 001; Lili Ju; Jianfang Lu; Xiaochuan Tian (CoRR, 2024)

An Entropy Stable Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Conservation Laws. - Yong Liu 019; Jianfang Lu; Chi-Wang Shu (SIAM J. Sci. Comput., 2024)

An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations. - Yong Liu 019; Jianfang Lu; Chi-Wang Shu (J. Comput. Phys., 2025)