Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps. - Jing-Mei Qiu; Chi-Wang Shu (SIAM J. Numer. Anal., 2008)

Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws. - Jing-Mei Qiu; Chi-Wang Shu (SIAM J. Sci. Comput., 2008)

A conservative high order semi-Lagrangian WENO method for the Vlasov equation. - Jing-Mei Qiu; Andrew J. Christlieb (J. Comput. Phys., 2010)

Integral deferred correction methods constructed with high order Runge-Kutta integrators. - Andrew J. Christlieb; Benjamin W. Ong; Jing-Mei Qiu (Math. Comput., 2010)

Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. - Jing-Mei Qiu; Chi-Wang Shu (J. Comput. Phys., 2011)

Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system. - Jing-Mei Qiu; Chi-Wang Shu (J. Comput. Phys., 2011)

Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations. - Chaopeng Shen; Jing-Mei Qiu; Andrew J. Christlieb (J. Comput. Phys., 2011)

Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation. - Wei Guo 004; Jing-Mei Qiu (J. Comput. Phys., 2013)

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 parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows. - Tao Xiong; Jing-Mei Qiu; Zhengfu Xu (J. Comput. Phys., 2013)

A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations. - Andrew J. Christlieb; Wei Guo 004; Maureen Morton; Jing-Mei Qiu (J. Comput. Phys., 2014)

Runge-Kutta central discontinuous Galerkin BGK method for the Navier-Stokes equations. - Tan Ren; Jun Hu; Tao Xiong; Jing-Mei Qiu (J. Comput. Phys., 2014)

High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation. - Tao Xiong; Jing-Mei Qiu; Zhengfu Xu; Andrew J. Christlieb (J. Comput. Phys., 2014)

Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling. - Juhi Jang; Fengyan Li; Jing-Mei Qiu; Tao Xiong (SIAM J. Numer. Anal., 2014)

High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling. - Juhi Jang; Fengyan Li; Jing-Mei Qiu; Tao Xiong (J. Comput. Phys., 2015)

High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation. - Tao Xiong; Juhi Jang; Fengyan Li; Jing-Mei Qiu (J. Comput. Phys., 2015)

Runge-Kutta Discontinuous Galerkin Method for Traffic Flow Model on Networks. - Suncica Canic; Benedetto Piccoli; Jing-Mei Qiu; Tan Ren (J. Sci. Comput., 2015)

A New Lax-Wendroff Discontinuous Galerkin Method with Superconvergence. - Wei Guo 004; Jing-Mei Qiu; Jianxian Qiu (J. Sci. Comput., 2015)

High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations. - Tao Xiong; Jing-Mei Qiu; Zhengfu Xu (SIAM J. Sci. Comput., 2015)

A conservative semi-Lagrangian HWENO method for the Vlasov equation. - Xiaofeng Cai; Jianxian Qiu; Jing-Mei Qiu (J. Comput. Phys., 2016)

Notes on RKDG Methods for Shallow-Water Equations in Canal Networks. - Maya Briani; Benedetto Piccoli; Jing-Mei Qiu (J. Sci. Comput., 2016)

Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations. - Tao Xiong; Jing-Mei Qiu; Zhengfu Xu (J. Sci. Comput., 2016)

High Order Maximum Principle Preserving Finite Volume Method for Convection Dominated Problems. - Pei Yang; Tao Xiong; Jing-Mei Qiu; Zhengfu Xu (J. Sci. Comput., 2016)

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

A hierarchical uniformly high order DG-IMEX scheme for the 1D BGK equation. - Tao Xiong; Jing-Mei Qiu (J. Comput. Phys., 2017)

A High Order Conservative Semi-Lagrangian Discontinuous Galerkin Method for Two-Dimensional Transport Simulations. - Xiaofeng Cai; Wei Guo 004; Jing-Mei Qiu (J. Sci. Comput., 2017)

A High Order Multi-Dimensional Characteristic Tracing Strategy for the Vlasov-Poisson System. - Jing-Mei Qiu; Giovanni Russo 001 (J. Sci. Comput., 2017)

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 high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting. - Xiaofeng Cai; Wei Guo 004; Jing-Mei Qiu (J. Comput. Phys., 2018)

Finite Volume HWENO Schemes for Nonconvex Conservation Laws. - Xiaofeng Cai; Jianxian Qiu; Jing-Mei Qiu (J. Sci. Comput., 2018)

High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler Equation and the Guiding-Center Vlasov Equation. - Tao Xiong; Giovanni Russo 001; Jing-Mei Qiu (J. Sci. Comput., 2018)

Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems. - Sebastiano Boscarino; Jing-Mei Qiu; Giovanni Russo 001 (SIAM J. Sci. Comput., 2018)

A semi-Lagrangian discontinuous Galerkin (DG) - local DG method for solving convection-diffusion-reaction equations. - Mingchang Ding; Xiaofeng Cai; Wei Guo 004; Jing-Mei Qiu (CoRR, 2019)

A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system. - Sebastiano Boscarino; Jing-Mei Qiu; Giovanni Russo 001; Tao Xiong (J. Comput. Phys., 2019)

A High Order Semi-Lagrangian Discontinuous Galerkin Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model Without Operator Splitting. - Xiaofeng Cai; Wei Guo 004; Jing-Mei Qiu (J. Sci. Comput., 2019)

Conservative Multi-dimensional Semi-Lagrangian Finite Difference Scheme: Stability and Applications to the Kinetic and Fluid Simulations. - Tao Xiong; Giovanni Russo 001; Jing-Mei Qiu (J. Sci. Comput., 2019)

A semi-Lagrangian discontinuous Galerkin (DG) - local DG method for solving convection-diffusion equations. - Mingchang Ding; Xiaofeng Cai; Wei Guo 004; Jing-Mei Qiu (J. Comput. Phys., 2020)

Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. - Zhichao Peng; Yingda Cheng; Jing-Mei Qiu; Fengyan Li (J. Comput. Phys., 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)

A Three-Phase Fundamental Diagram from Three-Dimensional Traffic Data. - Maria Laura Delle Monache; Karen Chi; Yong Chen 016; Paola Goatin; Ke Han; Jing-Mei Qiu; Benedetto Piccoli (Axioms, 2021)

Semi-Lagrangian nodal discontinuous Galerkin method for the BGK Model. - Mingchang Ding; Jing-Mei Qiu; Ruiwen Shu (CoRR, 2021)

High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics. - Xiaofeng Cai; Sebastiano Boscarino; Jing-Mei Qiu (J. Comput. Phys., 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)

Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property. - Zhichao Peng; Yingda Cheng; Jing-Mei Qiu; Fengyan Li (SIAM J. Numer. Anal., 2021)

A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov-Poisson System. - Nanyi Zheng; Xiaofeng Cai; Jing-Mei Qiu; Jianxian Qiu (SIAM J. Sci. Comput., 2021)

A mass conservative Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method for wave equations with large time stepping. - Xue Hong; Jing-Mei Qiu (CoRR, 2022)

A Local Macroscopic Conservative (LoMaC) low rank tensor method with the discontinuous Galerkin method for the Vlasov dynamics. - Wei Guo 004; Jannatul Ferdous Ema; Jing-Mei Qiu (CoRR, 2022)

A low rank tensor representation of linear transport and nonlinear Vlasov solutions and their associated flow maps. - Wei Guo 004; Jing-Mei Qiu (J. Comput. Phys., 2022)

A generalized Eulerian-Lagrangian discontinuous Galerkin method for transport problems. - Xue Hong; Jing-Mei Qiu (J. Comput. Phys., 2022)

An Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for solving convection and convection-diffusion equations. - Joseph Nakao; Jiajie Chen; Jing-Mei Qiu (J. Comput. Phys., 2022)

High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics. - Sebastiano Boscarino; Jing-Mei Qiu; Giovanni Russo 001; Tao Xiong (SIAM J. Sci. Comput., 2022)

Eulerian-Lagrangian Runge-Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes. - Xiaofeng Cai; Jing-Mei Qiu (SIAM J. Sci. Comput., 2022)

Scalable Riemann Solvers with the Discontinuous Galerkin Method for Hyperbolic Network Simulation. - Aidan Hamilton; Jing-Mei Qiu; Hong Zhang (PASC, 2023)

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)

Accuracy and Stability Analysis of the Semi-Lagrangian Method for Stiff Hyperbolic Relaxation Systems and Kinetic BGK Model. - Mingchang Ding; Jing-Mei Qiu; Ruiwen Shu (Multiscale Model. Simul., 2023)

High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format. - William A. Sands; Wei Guo 004; Jing-Mei Qiu; Tao Xiong (CoRR, 2024)

Distributed memory parallel adaptive tensor-train cross approximation. - Tianyi Shi; Daniel Hayes; Jing-Mei Qiu (CoRR, 2024)

Sylvester-Preconditioned Adaptive-Rank Implicit Time Integrators for Advection-Diffusion Equations with Inhomogeneous Coefficients. - Hamad El Kahza; Jing-Mei Qiu; Luis Chacón; William T. Taitano (CoRR, 2024)

Krylov-based adaptive-rank implicit time integrators for stiff problems with application to nonlinear Fokker-Planck kinetic models. - Hamad El Kahza; William T. Taitano; Jing-Mei Qiu; Luis Chacón (J. Comput. Phys., 2024)

A Conservative Low Rank Tensor Method for the Vlasov Dynamics. - Wei Guo 004; Jing-Mei Qiu (SIAM J. Sci. Comput., 2024)

A Conservative Eulerian-Lagrangian Runge-Kutta Discontinuous Galerkin Method for Linear Hyperbolic System with Large Time Stepping. - Xue Hong; Jing-Mei Qiu (J. Sci. Comput., 2024)

Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations. - Nanyi Zheng; Xiaofeng Cai; Jing-Mei Qiu; Jianxian Qiu (J. Sci. Comput., 2024)

A Local Macroscopic Conservative (LoMaC) Low Rank Tensor Method for the Vlasov Dynamics. - Wei Guo 004; Jing-Mei Qiu (J. Sci. Comput., 2024)

A review of low-rank methods for time-dependent kinetic simulations. - Lukas Einkemmer; Katharina Kormann; Jonas Kusch; Ryan G. McClarren; Jing-Mei Qiu (J. Comput. Phys., 2025)

Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations. - Nanyi Zheng; Xiaofeng Cai; Jing-Mei Qiu; Jianxian Qiu (J. Comput. Phys., 2025)

A semi-Lagrangian adaptive-rank (SLAR) method for linear advection and nonlinear Vlasov-Poisson system. - Nanyi Zheng; Daniel Hayes; Andrew J. Christlieb; Jing-Mei Qiu (J. Comput. Phys., 2025)

Reduced Augmentation Implicit Low-Rank (RAIL) Integrators for Advection-Diffusion and Fokker-Planck Models. - Joseph Nakao; Jing-Mei Qiu; Lukas Einkemmer (SIAM J. Sci. Comput., 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)

An Adaptive-rank Approach with Greedy Sampling for Multi-scale BGK Equations. - William A. Sands; Jing-Mei Qiu; Daniel Hayes; Nanyi Zheng (CoRR, 2025)

A Sampling-Based Adaptive Rank Approach to the Wigner-Poisson System. - Andrew J. Christlieb; Sining Gong; Jing-Mei Qiu; Nanyi Zheng (CoRR, 2025)