A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. - Zheng Sun 004; José A. Carrillo 001; Chi-Wang Shu (J. Comput. Phys., 2018)

Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. - Zheng Sun 004; Chi-Wang Shu (CoRR, 2019)

Strong Stability of Explicit Runge-Kutta Time Discretizations. - Zheng Sun 004; Chi-Wang Shu (SIAM J. Numer. Anal., 2019)

Error analysis of Runge-Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations. - Zheng Sun 004; Chi-Wang Shu (CoRR, 2020)

On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity. - Zheng Sun 004; Yulong Xing (J. Comput. Phys., 2020)

Low-Memory, Discrete Ordinates, Discontinuous Galerkin Methods for Radiative Transport. - Zheng Sun 004; Cory D. Hauck (SIAM J. Sci. Comput., 2020)

Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. - Zheng Sun 004; Yulong Xing (Math. Comput., 2021)

On Energy Laws and Stability of Runge-Kutta Methods for Linear Seminegative Problems. - Zheng Sun 004; Yuanzhe Wei; Kailiang Wu (SIAM J. Numer. Anal., 2022)

Stability of structure-aware Taylor methods for tents. - Jay Gopalakrishnan; Zheng Sun 004 (Math. Comput., 2022)

On a numerical artifact of solving shallow water equations with a discontinuous bottom: Analysis and a nontransonic fix. - Zheng Sun 004; Yulong Xing (CoRR, 2023)

OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws. - Manting Peng; Zheng Sun 004; Kailiang Wu (CoRR, 2023)

On Generalized Gauss-Radau Projections and Optimal Error Estimates of Upwind-Biased DG Methods for the Linear Advection Equation on Special Simplex Meshes. - Zheng Sun 004; Yulong Xing (J. Sci. Comput., 2023)

The Runge-Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws. - Qifan Chen; Zheng Sun 004; Yulong Xing (SIAM J. Sci. Comput., 2024)

The Runge-Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws. - Qifan Chen; Zheng Sun 004; Yulong Xing (J. Comput. Phys., 2025)

A bound-preserving Runge-Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws. - Chen Liu 015; Zheng Sun 004; Xiangxiong Zhang (J. Comput. Phys., 2025)