Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations. - Yang Yang 014; Chi-Wang Shu (SIAM J. Numer. Anal., 2012)

Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations. - Yang Yang 014; Dongming Wei; Chi-Wang Shu (J. Comput. Phys., 2013)

Discontinuous Galerkin method for hyperbolic equations involving δ-singularities: negative-order norm error estimates and applications. - Yang Yang 014; Chi-Wang Shu (Numerische Mathematik, 2013)

Optimal penalty parameter for C0 IPDG. - Xia Ji 001; Jiguang Sun; Yang Yang 014 (Appl. Math. Lett., 2014)

A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations. - Xuan Zhao; Yang Yang 014; Charles E. Seyler (J. Comput. Phys., 2014)

Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions. - Li Guo; Yang Yang 014 (J. Comput. Phys., 2015)

Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations. - Waixiang Cao; Chi-Wang Shu; Yang Yang 014; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2015)

Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics. - Tong Qin 002; Chi-Wang Shu; Yang Yang 014 (J. Comput. Phys., 2016)

Local Discontinuous Galerkin Method for Incompressible Miscible Displacement Problem in Porous Media. - Hui Guo; Fan Yu; Yang Yang 014 (J. Sci. Comput., 2017)

Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model. - Xingjie Helen Li 001; Chi-Wang Shu; Yang Yang 014 (J. Sci. Comput., 2017)

Conservative Local Discontinuous Galerkin Method for Compressible Miscible Displacements in Porous Media. - Fan Yu; Hui Guo; Nattaporn Chuenjarern; Yang Yang 014 (J. Sci. Comput., 2017)

Bound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous Media. - Hui Guo; Yang Yang 014 (SIAM J. Sci. Comput., 2017)

Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations. - Waixiang Cao; Chi-Wang Shu; Yang Yang 014; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2018)

High-order local discontinuous Galerkin method for simulating wormhole propagation. - Hui Guo; Lulu Tian; Ziyao Xu 002; Yang Yang 014; Ning Qi (J. Comput. Appl. Math., 2019)

High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes. - Nattaporn Chuenjarern; Ziyao Xu 002; Yang Yang 014 (J. Comput. Phys., 2019)

Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes. - Jie Du; Yang Yang 014 (J. Comput. Phys., 2019)

Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations. - Jie Du; Yang Yang 014 (J. Comput. Phys., 2019)

High-order bound-preserving discontinuous Galerkin methods for wormhole propagation on triangular meshes. - Ziyao Xu 002; Yang Yang 014; Hui Guo (J. Comput. Phys., 2019)

Fourier Analysis of Local Discontinuous Galerkin Methods for Linear Parabolic Equations on Overlapping Meshes. - Nattaporn Chuenjarern; Yang Yang 014 (J. Sci. Comput., 2019)

Energy Dissipative Local Discontinuous Galerkin Methods for Keller-Segel Chemotaxis Model. - Li Guo; Xingjie Helen Li 001; Yang Yang 014 (J. Sci. Comput., 2019)

High-Order Bound-Preserving Discontinuous Galerkin Methods for Stiff Multispecies Detonation. - Jie Du; Cheng Wang; Chengeng Qian; Yang Yang 014 (SIAM J. Sci. Comput., 2019)

High-order bound-preserving finite difference methods for miscible displacements in porous media. - Hui Guo; Xinyuan Liu; Yang Yang 014 (J. Comput. Phys., 2020)

The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes. - Ziyao Xu 002; Yang Yang 014 (J. Comput. Phys., 2020)

Conservative discontinuous Galerkin methods for the nonlinear Serre equations. - Jianli Zhao; Qian Zhang 056; Yang Yang 014; Yinhua Xia (J. Comput. Phys., 2020)

An h-Adaptive Local Discontinuous Galerkin Method for Simulating Wormhole Propagation with Darcy-Forcheiner Model. - Lulu Tian; Hui Guo; Rui Jia; Yang Yang 014 (J. Sci. Comput., 2020)

Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension. - Yang Yang 014; Xiaofeng Cai; Jing-Mei Qiu (Math. Comput., 2020)

The Hybrid-dimensional Darcy's Law: A Reinterpreted Discrete Fracture Model for Fracture and Barrier Networks on Non-conforming Meshes. - Ziyao Xu 002; Zhaoqin Huang; Yang Yang 014 (CoRR, 2021)

Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions. - Nattaporn Chuenjarern; Kanognudge Wuttanachamsri; Yang Yang 014 (CoRR, 2021)

An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics. - Xiaofeng Cai; Jing-Mei Qiu; Yang Yang 014 (J. Comput. Phys., 2021)

High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction. - Ruize Yang; Yang Yang 014; Yulong Xing (J. Comput. Phys., 2021)

High-Order Bound-Preserving Finite Difference Methods for Incompressible Wormhole Propagation. - Xinyuan Liu; Yang Yang 014; Hui Guo (J. Sci. Comput., 2021)

Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy-Forchheimer model. - Lulu Tian; Hui Guo; Rui Jia; Yang Yang 014 (J. Comput. Appl. Math., 2022)

High-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flows. - Jie Du; Yang Yang 014 (J. Comput. Phys., 2022)

Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous media. - Wenjing Feng; Hui Guo; Yue Kang; Yang Yang 014 (J. Comput. Phys., 2022)

Provable convergence of blow-up time of numerical approximations for a class of convection-diffusion equations. - Hui Guo; Xueting Liang; Yang Yang 014 (J. Comput. Phys., 2022)

Stability analysis of the Eulerian-Lagrangian finite volume methods for nonlinear hyperbolic equations in one space dimension. - Yang Yang 014; Jiajie Chen; Jing-Mei Qiu (CoRR, 2023)

The hybrid-dimensional Darcy's law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media. - Ziyao Xu 002; Zhaoqin Huang; Yang Yang 014 (J. Comput. Phys., 2023)

Sign-preserving second-order IMPEC time discretization and its application in compressible miscible displacement with Darcy-Forchheimer models. - Wenjing Feng; Hui Guo; Lulu Tian; Yang Yang 014 (J. Comput. Phys., 2023)

An Oscillation-Free Bound-Preserving Discontinuous Galerkin Method for Multi-component Chemically Reacting Flows. - Jie Du; Yong Liu; Yang Yang 014 (J. Sci. Comput., 2023)

Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation. - Jie Du; Yang Yang 014; Fangyao Zhu (J. Comput. Phys., 2024)

Maximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshes. - Lulu Tian; Nattaporn Chuenjarern; Hui Guo; Yang Yang 014 (J. Comput. Appl. Math., 2024)

Correction to : An Oscillation-Free Bound-Preserving Discontinuous Galerkin Method for Multi-Component Chemically Reacting Flows. - Jie Du; Yong Liu; Yang Yang 014 (J. Sci. Comput., 2024)

High-Order Bound-Preserving Local Discontinuous Galerkin Methods for Incompressible and Immiscible Two-Phase Flows in Porous Media. - Xiuhui Guo; Hui Guo; Lulu Tian; Yang Yang 014 (J. Sci. Comput., 2024)

High-order bound-preserving finite difference methods for incompressible two-phase flow in porous media. - Hui Guo; Kaixuan Wang; Jian Huang; Yang Yang 014 (J. Comput. Appl. Math., 2025)

Improved physics-informed neural networks for the reinterpreted discrete fracture model. - Chao Wang; Hui Guo; Xia Yan; Zhang-Lei Shi; Yang Yang 014 (J. Comput. Phys., 2025)

A reinterpreted discrete fracture model for wormhole propagation in fractured porous media. - Xinyu Wu; Hui Guo; Ziyao Xu 002; Lulu Tian; Yang Yang 014 (J. Comput. Phys., 2025)

A High-Order Eulerian-Lagrangian Runge-Kutta Finite Volume (EL-RK-FV) Method for Scalar Nonlinear Conservation Laws. - Jiajie Chen; Joseph Nakao; Jing-Mei Qiu; Yang Yang 014 (J. Sci. Comput., 2025)