Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case. - Hongqiang Zhu; Jianxian Qiu (J. Comput. Phys., 2009)

An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws. - Hongqiang Zhu; Jianxian Qiu (Adv. Comput. Math., 2013)

An h-adaptive RKDG method with troubled-cell indicator for one-dimensional detonation wave simulations. - Hongqiang Zhu; Zhen Gao 002 (Adv. Comput. Math., 2016)

An h-Adaptive RKDG Method for the Vlasov-Poisson System. - Hongqiang Zhu; Jianxian Qiu; Jing-Mei Qiu (J. Sci. Comput., 2016)

An h-Adaptive RKDG Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model. - Hongqiang Zhu; Jianxian Qiu; Jing-Mei Qiu (J. Sci. Comput., 2017)

A simple, high-order and compact WENO limiter for RKDG method. - Hongqiang Zhu; Jianxian Qiu; Jun Zhu (Comput. Math. Appl., 2020)

A New Troubled-Cell Indicator for Discontinuous Galerkin Methods Using K-Means Clustering. - Hongqiang Zhu; Haiyun Wang; Zhen Gao (SIAM J. Sci. Comput., 2021)

Asymptotic Preserving and Uniformly Unconditionally Stable Finite Difference Schemes for Kinetic Transport Equations. - Guoliang Zhang; Hongqiang Zhu; Tao Xiong (SIAM J. Sci. Comput., 2023)

Asymptotic preserving semi-Lagrangian discontinuous Galerkin methods for multiscale kinetic transport equations. - Yi Cai; Guoliang Zhang; Hongqiang Zhu; Tao Xiong (J. Comput. Phys., 2024)

A bound- and positivity-preserving discontinuous Galerkin method for solving the γ-based model. - Haiyun Wang; Hongqiang Zhu; Zhen Gao 002 (J. Comput. Phys., 2024)

Local discontinuous Galerkin methods with implicit-explicit BDF time marching for Newell-Whitehead-Segel equations. - Haijin Wang; Xiaobin Shi; Rumeng Shao; Hongqiang Zhu; Yanping Chen (Int. J. Comput. Math., 2025)

A bound- and positivity-preserving path-conservative discontinuous Galerkin method for compressible two-medium flows. - Haiyun Wang; Hongqiang Zhu; Zhen Gao 002 (J. Comput. Phys., 2025)

A Physical-constraint-preserving Quasi-conservative Discontinuous Galerkin Method for Solving Six-equation Model of Compressible Two-phase Flows. - Haiyun Wang; Hongqiang Zhu; Zhen Gao 002 (J. Sci. Comput., 2025)