A High Order WENO Scheme for a Hierarchical Size-Structured Population Model. - Jun Shen; Chi-Wang Shu; Mengping Zhang (J. Sci. Comput., 2007)

Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction. - Yingjie Liu; Chi-Wang Shu; Eitan Tadmor; Mengping Zhang (SIAM J. Numer. Anal., 2007)

High Resolution Schemes for a Hierarchical Size-Structured Model. - Jun Shen; Chi-Wang Shu; Mengping Zhang (SIAM J. Numer. Anal., 2007)

The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship. - Yadong Lu; Sze Chun Wong; Mengping Zhang; Chi-Wang Shu (Transp. Sci., 2009)

Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment. - Tao Xiong; Mengping Zhang; Yong-Tao Zhang; Chi-Wang Shu (J. Sci. Comput., 2010)

High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows. - Tao Xiong; Mengping Zhang; Chi-Wang Shu; Sze Chun Wong; Peng Zhang 014 (Comput. Aided Civ. Infrastructure Eng., 2011)

High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model. - Rui Zhang; Mengping Zhang; Chi-Wang Shu (J. Comput. Appl. Math., 2011)

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations. - Yuanyuan Liu; Chi-Wang Shu; Mengping Zhang (SIAM J. Sci. Comput., 2011)

WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows. - Tao Xiong; Chi-Wang Shu; Mengping Zhang (J. Sci. Comput., 2012)

Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations. - Mengping Zhang; Jue Yan (J. Sci. Comput., 2012)

An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax-Wendroff Time Discretization for Conservation Laws. - Yan Jiang; Chi-Wang Shu; Mengping Zhang (SIAM J. Sci. Comput., 2013)

Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes. - Tingting Li; Chi-Wang Shu; Mengping Zhang (J. Comput. Appl. Math., 2016)

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)

Decision-making model based vertical transportation channel for super high-rise construction waste. - Lin Yang; YaBo He; Yichen Li; Mengping Zhang (Clust. Comput., 2017)

The research of organization optimization and overall control mechanism in multi-projects network. - Lin Yang; Mengping Zhang (Clust. Comput., 2017)

Stability Analysis of the Inverse Lax-Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations. - Tingting Li; Chi-Wang Shu; Mengping Zhang (J. Sci. Comput., 2017)

Fourier Type Super Convergence Study on DDGIC and Symmetric DDG Methods. - Mengping Zhang; Jue Yan (J. Sci. Comput., 2017)

Discontinuous Galerkin Methods for Weakly Coupled Hyperbolic MultiDomain Problems. - Qingyuan Liu; Chi-Wang Shu; Mengping Zhang (SIAM J. Sci. Comput., 2017)

Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. - Yong Liu 019; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2018)

Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Yong Liu 019; Chi-Wang Shu; Mengping Zhang (SIAM J. Numer. Anal., 2018)

IB-WENO method for incompressible flow with elastic boundaries. - Ziqiang Cheng; Yuan Liu 018; Mengping Zhang; Jin Wang (J. Comput. Appl. Math., 2019)

Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes. - Ziqiang Cheng; Jinwei Fang; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2019)

Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions. - Zhanjing Tao; Anqi Chen; Mengping Zhang; Yingda Cheng (SIAM J. Sci. Comput., 2019)

Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations. - Yong Liu 019; Chi-Wang Shu; Mengping Zhang (CoRR, 2020)

A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations. - Kaipeng Wang; Andrew J. Christlieb; Yan Jiang; Mengping Zhang (CoRR, 2020)

On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments. - Shengrong Ding; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2020)

Superconvergence of Ultra-Weak Discontinuous Galerkin Methods for the Linear Schrödinger Equation in One Dimension. - Anqi Chen; Yingda Cheng; Yong Liu 019; Mengping Zhang (J. Sci. Comput., 2020)

Free-Stream Preserving Finite Difference Schemes for Ideal Magnetohydrodynamics on Curvilinear Meshes. - Yize Yu; Yan Jiang; Mengping Zhang (J. Sci. Comput., 2020)

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)

Multi-UAV Formation Control Based on Parameter Optimization ADRC. - Yuxin Hu; Changlin Liu; Ping Wang; Mengping Zhang; Han Mu; Quan Yuan (CCIS, 2022)

Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach. - Liangze Yang; Sze Chun Wong; H. W. Ho; Mengping Zhang; Chi-Wang Shu (Transp. Sci., 2022)

A high order moving boundary treatment for convection-diffusion equations. - Shihao Liu; Yan Jiang; Chi-Wang Shu; Mengping Zhang; Shuhai Zhang (J. Comput. Phys., 2023)

Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system. - Liangze Yang; Sze Chun Wong; H. W. Ho; Chi-Wang Shu; Mengping Zhang (Comput. Aided Civ. Infrastructure Eng., 2023)

A knowledge-transfer-based approach for combining ordinal regression and medical scoring system in the early prediction of sepsis with electronic health records. - Yu Ji; Kaipeng Wang; Yuan Yuan; Yueguo Wang; Qingyuan Liu; Yulan Wang; Jian Sun; Wenwen Wang; Huanli Wang; Shusheng Zhou; Kui Jin; Mengping Zhang; et al. (Comput. Biol. Chem., 2024)

Multiple transmission routes in nosocomial bacterial infections - A modeling study. - Ziqiang Cheng; Hengmin Jia; Jian Sun; Yueguo Wang; Shusheng Zhou; Kui Jin; Mengping Zhang; Jin Wang (Commun. Nonlinear Sci. Numer. Simul., 2024)

A new type of simplified inverse Lax-Wendroff boundary treatment I: Hyperbolic conservation laws. - Shihao Liu; Tingting Li; Ziqiang Cheng; Yan Jiang; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2024)

Discontinuous Galerkin Methods for Network Patterning Phase-Field Models. - Lei Yang; Yuan Liu; Yan Jiang; Mengping Zhang (J. Sci. Comput., 2024)

A novel approach to the analysis of Overall Survival (OS) as response with Progression-Free Interval (PFI) as condition based on the RNA-seq expression data in The Cancer Genome Atlas (TCGA). - Bo Lin; Kaipeng Wang; Yuan Yuan; Yueguo Wang; Qingyuan Liu; Yulan Wang; Jian Sun; Wenwen Wang; Huanli Wang; Shusheng Zhou; Kui Jin; Mengping Zhang; et al. (BMC Bioinform., 2024)

Non-oscillatory entropy stable DG schemes for hyperbolic conservation law. - Yuchang Liu; Wei Guo; Yan Jiang; Mengping Zhang (J. Comput. Phys., 2025)

Structure-preserving nodal DG method for the Euler equations with gravity: well-balanced, entropy stable, and positivity preserving. - Yuchang Liu; Wei Guo; Yan Jiang; Mengping Zhang (J. Comput. Phys., 2025)

High-order inverse Lax-Wendroff procedure for compressible fluid-structure interaction problems. - Zepeng Liu; Yan Jiang; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2025)

A globally divergence-free entropy stable nodal DG method for conservative ideal MHD equations. - Yuchang Liu; Wei Guo; Yan Jiang; Mengping Zhang (CoRR, 2025)

Inverse Lax-Wendroff boundary treatment for solving conservation laws with finite difference HWENO methods. - Guangyao Zhu; Yan Jiang; Zhuang Zhao; Mengping Zhang (CoRR, 2025)

Structure-preserving nodal DG method for Euler equations with gravity II: general equilibrium states. - Yuchang Liu; Wei Guo; Yan Jiang; Mengping Zhang (CoRR, 2025)