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 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)

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

A WENO-based Method of Lines Transpose approach for Vlasov simulations. - Andrew J. Christlieb; Wei Guo 004; Yan Jiang (J. Comput. Phys., 2016)

Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations. - Zixuan Wang; Qi Tang 001; Wei Guo 004; Yingda Cheng (J. Comput. Phys., 2016)

A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations. - Wei Guo 004; Yingda Cheng (SIAM J. Sci. Comput., 2016)

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)

An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics. - Yingda Cheng; Andrew J. Christlieb; Wei Guo 004; Benjamin W. Ong (J. Sci. Comput., 2017)

An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions. - Wei Guo 004; Yingda Cheng (SIAM 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)

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 kernel based high order "explicit" unconditionally stable scheme for time dependent Hamilton-Jacobi equations. - Andrew J. Christlieb; Wei Guo 004; Yan Jiang (J. Comput. Phys., 2019)

A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws. - Andrew J. Christlieb; Wei Guo 004; Yan Jiang; Hyoseon Yang (J. Comput. Phys., 2019)

Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system. - Zhanjing Tao; Wei Guo 004; Yingda Cheng (J. Comput. Phys. X, 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)

An Alternative Formulation of Discontinous Galerkin Schemes for Solving Hamilton-Jacobi Equations. - Guoyi Ke; Wei Guo 004 (J. Sci. Comput., 2019)

An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations. - Zhanjing Tao; Juntao Huang; Yuan Liu 018; Wei Guo 004; Yingda Cheng (CoRR, 2020)

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)

Kernel Based High Order "Explicit" Unconditionally Stable Scheme for Nonlinear Degenerate Advection-Diffusion Equations. - Andrew J. Christlieb; Wei Guo 004; Yan Jiang; Hyoseon Yang (J. Sci. Comput., 2020)

An Adaptive Multiresolution Interior Penalty Discontinuous Galerkin Method for Wave Equations in Second Order Form. - Juntao Huang; Yuan Liu 018; Wei Guo 004; Zhanjing Tao; Yingda Cheng (J. Sci. Comput., 2020)

An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions. - Wei Guo 004; Juntao Huang; Zhanjing Tao; Yingda Cheng (J. Comput. Phys., 2021)

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)

Adaptive sparse grid discontinuous Galerkin method: review and software implementation. - Juntao Huang; Wei Guo 004; Yingda Cheng (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 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)

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)

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)

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

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