Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach. - Wei Guo 004; Xinghui Zhong; Jing-Mei Qiu (J. Comput. Phys., 2013)

A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods. - Xinghui Zhong; Chi-Wang Shu (J. Comput. Phys., 2013)

Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. - Jun Zhu; Xinghui Zhong; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2013)

Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. - Yingda Cheng; Andrew J. Christlieb; Xinghui Zhong (J. Comput. Phys., 2014)

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. - Yingda Cheng; Andrew J. Christlieb; Xinghui Zhong (J. Comput. Phys., 2014)

Numerical study of the two-species Vlasov-Ampère system: Energy-conserving schemes and the current-driven ion-acoustic instability. - Yingda Cheng; Andrew J. Christlieb; Xinghui Zhong (J. Comput. Phys., 2015)

Galerkin Methods for Stationary Radiative Transfer Equations with Uncertain Coefficients. - Xinghui Zhong; Qin Li 007 (J. Sci. Comput., 2018)

An efficient solver for cumulative density function-based solutions of uncertain kinematic wave models. - Ming Cheng; Akil Narayan 001; Yi Qin; Peng Wang 022; Xinghui Zhong; Xueyu Zhu (J. Comput. Phys., 2019)

High order finite difference WENO methods with unequal-sized sub-stencils for the Degasperis-Procesi type equations. - Jianfang Lin; Yan Yu; Huiwen Xue; Xinghui Zhong (CoRR, 2021)

Cell-average based neural network method for third order and fifth order KdV type equations. - Yongsheng Chen; Jue Yan; Xinghui Zhong (Frontiers Appl. Math. Stat., 2022)

An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes. - Jie Du; Chi-Wang Shu; Xinghui Zhong (J. Comput. Phys., 2022)

Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs. - Xinghui Zhong; Chi-Wang Shu (J. Sci. Comput., 2022)

Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential. - Boyang Ye; Shi Jin; Yulong Xing; Xinghui Zhong (SIAM J. Sci. Comput., 2022)

A multi-fidelity machine learning based semi-Lagrangian finite volume scheme for linear transport equations and the nonlinear Vlasov-Poisson system. - Yongsheng Chen; Wei Guo 004; Xinghui Zhong (CoRR, 2023)

A learned conservative semi-Lagrangian finite volume scheme for transport simulations. - Yongsheng Chen; Wei Guo 004; Xinghui Zhong (J. Comput. Phys., 2023)

Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system. - Tianai Yin; Xinghui Zhong; Yanli Wang (J. Comput. Phys., 2023)

Stochastic Galerkin Methods for Time-Dependent Radiative Transfer Equations with Uncertain Coefficients. - Chuqi Zheng; Jiayu Qiu; Qin Li; Xinghui Zhong (J. Sci. Comput., 2023)

Numerical methods for reinterpreted discrete fracture models with random inputs. - Huan Ding; Yang Yang; Xinghui Zhong (J. Comput. Appl. Math., 2024)

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator. - Boyang Ye; Jingwei Hu; Chi-Wang Shu; Xinghui Zhong (J. Comput. Phys., 2024)

A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov-Poisson System. - Yongsheng Chen; Wei Guo 004; Xinghui Zhong (Multiscale Model. Simul., 2024)

Local Discontinuous Galerkin Methods with Multistep Implicit-Explicit Time Discretization for Nonlinear Schrödinger Equations. - Ying Li 028; Hui Shi; Xinghui Zhong (J. Sci. Comput., 2024)

Direct Discontinuous Galerkin Method with Interface Correction for the Keller-Segel Chemotaxis Model. - Xinghui Zhong; Changxin Qiu; Jue Yan (J. Sci. Comput., 2024)

Conservative semi-Lagrangian finite difference scheme for transport simulations using graph neural networks. - Yongsheng Chen; Wei Guo 004; Xinghui Zhong (J. Comput. Phys., 2025)

Asymptotic-preserving and positivity-preserving discontinuous Galerkin method for the semiconductor Boltzmann equation in the diffusive scaling. - Huan Ding; Liu Liu; Xinghui Zhong (CoRR, 2025)

Numerical Solutions of Stochastic PDEs Driven by Ornstein-Uhlenbeck Noise. - Ning Guan; Zhongqiang Zhang; Xinghui Zhong (J. Sci. Comput., 2025)