An asymptotic-preserving scheme for the semiconductor Boltzmann equation toward the energy-transport limit. - Jingwei Hu 002; Li Wang 036 (J. Comput. Phys., 2015)

Asymptotic-Preserving Exponential Methods for the Quantum Boltzmann Equation with High-Order Accuracy. - Jingwei Hu 002; Qin Li 007; Lorenzo Pareschi (J. Sci. Comput., 2015)

A fast algorithm for the energy space boson Boltzmann collision operator. - Jingwei Hu 002; Lexing Ying (Math. Comput., 2015)

A Stochastic Galerkin Method for Hamilton-Jacobi Equations with Uncertainty. - Jingwei Hu 002; Shi Jin 003; Dongbin Xiu (SIAM J. Sci. Comput., 2015)

A stochastic Galerkin method for the Boltzmann equation with uncertainty. - Jingwei Hu 002; Shi Jin 003 (J. Comput. Phys., 2016)

On a Class of Implicit-Explicit Runge-Kutta Schemes for Stiff Kinetic Equations Preserving the Navier-Stokes Limit. - Jingwei Hu 002; Xiangxiong Zhang (J. Sci. Comput., 2017)

A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels. - Irene M. Gamba; Jeffrey R. Haack; Cory D. Hauck; Jingwei Hu 002 (SIAM J. Sci. Comput., 2017)

Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation. - Jingwei Hu 002; Ruiwen Shu; Xiangxiong Zhang (SIAM J. Numer. Anal., 2018)

A Discontinuous Galerkin Fast Spectral Method for Multi-Species Full Boltzmann on Streaming Multi-Processors. - Shashank Jaiswal; Jingwei Hu 002; Julien K. Brillon; Alina A. Alexeenko (PASC, 2019)

On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime. - Jingwei Hu 002; Shi Jin 003; Ruiwen Shu (J. Comput. Phys., 2019)

A fast spectral method for the inelastic Boltzmann collision operator and application to heated granular gases. - Jingwei Hu 002; Zheng Ma 011 (J. Comput. Phys., 2019)

A discontinuous Galerkin fast spectral method for the full Boltzmann equation with general collision kernels. - Shashank Jaiswal; Alina A. Alexeenko; Jingwei Hu 002 (J. Comput. Phys., 2019)

A Second-Order Asymptotic-Preserving and Positivity-Preserving Exponential Runge-Kutta Method for a Class of Stiff Kinetic Equations. - Jingwei Hu 002; Ruiwen Shu (Multiscale Model. Simul., 2019)

Recent development in kinetic theory of granular materials: analysis and numerical methods. - José Antonio Carrillo 001; Jingwei Hu 002; Zheng Ma 011; Thomas Rey (CoRR, 2020)

A fast Fourier spectral method for the homogeneous Boltzmann equation with non-cutoff collision kernels. - Jingwei Hu 002; Kunlun Qi (J. Comput. Phys., 2020)

A particle method for the homogeneous Landau equation. - José A. Carrillo 001; Jingwei Hu 002; Li Wang 036; Jeremy Wu (J. Comput. Phys. X, 2020)

A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations. - Jingwei Hu 002; Xiaodong Huang (Numerische Mathematik, 2020)

High order positivity preserving and asymptotic preserving multi-derivative methods. - Sigal Gottlieb; Zachary J. Grant; Jingwei Hu 002; Ruiwen Shu (CoRR, 2021)

Positivity-preserving and energy-dissipative finite difference schemes for the Fokker-Planck and Keller-Segel equations. - Jingwei Hu 002; Xiangxiong Zhang (CoRR, 2021)

A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions. - Jingwei Hu 002; Xiaodong Huang; Jie Shen 001; Haizhao Yang (CoRR, 2021)

An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation. - Lukas Einkemmer; Jingwei Hu 002; Yubo Wang 018 (J. Comput. Phys., 2021)

A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration. - Jingwei Hu 002; Jian-Guo Liu 006; Yantong Xie; Zhennan Zhou (J. Comput. Phys., 2021)

Uncertainty Quantification for the BGK Model of the Boltzmann Equation Using Multilevel Variance Reduced Monte Carlo Methods. - Jingwei Hu 002; Lorenzo Pareschi; Yubo Wang 018 (SIAM/ASA J. Uncertain. Quantification, 2021)

On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations. - Jingwei Hu 002; Ruiwen Shu (Math. Comput., 2021)

A New Stability and Convergence Proof of the Fourier-Galerkin Spectral Method for the Spatially Homogeneous Boltzmann Equation. - Jingwei Hu 002; Kunlun Qi; Tong Yang 001 (SIAM J. Numer. Anal., 2021)

An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime. - Lukas Einkemmer; Jingwei Hu 002; Lexing Ying (SIAM J. Sci. Comput., 2021)

Efficient dynamical low-rank approximation for the Vlasov-Ampère-Fokker-Planck system. - Jack Coughlin; Jingwei Hu 002 (J. Comput. Phys., 2022)

An Adaptive Dynamical Low Rank Method for the Nonlinear Boltzmann Equation. - Jingwei Hu 002; Yubo Wang 018 (J. Sci. Comput., 2022)

High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge-Kutta Methods with Asymptotic Preserving Properties. - Sigal Gottlieb; Zachary J. Grant; Jingwei Hu 002; Ruiwen Shu (SIAM J. Numer. Anal., 2022)

A Fast Petrov-Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions. - Jingwei Hu 002; Xiaodong Huang; Jie Shen 001; Haizhao Yang (SIAM J. Sci. Comput., 2022)

An Entropic Method for Discrete Systems with Gibbs Entropy. - Zhenning Cai; Jingwei Hu 002; Yang Kuang; Bo Lin (SIAM J. Numer. Anal., 2022)

A Structure Preserving Numerical Scheme for Fokker-Planck Equations of Structured Neural Networks with Learning Rules. - Qing He; Jingwei Hu 002; Zhennan Zhou (SIAM J. Sci. Comput., 2022)

A particle method for the multispecies Landau equation. - José A. Carrillo 001; Jingwei Hu 002; Samuel Q. Van Fleet (CoRR, 2023)

Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation. - Rafael Bailo; José A. Carrillo 001; Jingwei Hu 002 (SIAM J. Appl. Math., 2023)

The Collisional Particle-In-Cell Method for the Vlasov-Maxwell-Landau Equations. - Rafael Bailo; José A. Carrillo 001; Jingwei Hu 002 (CoRR, 2024)

Transport based particle methods for the Fokker-Planck-Landau equation. - Vasily Ilin; Jingwei Hu 002; Zhenfu Wang (CoRR, 2024)

Robust and conservative dynamical low-rank methods for the Vlasov equation via a novel macro-micro decomposition. - Jack Coughlin; Jingwei Hu 002; Uri Shumlak (J. Comput. Phys., 2024)

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator. - Boyang Ye; Jingwei Hu 002; Chi-Wang Shu; Xinghui Zhong (J. Comput. Phys., 2024)

Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation. - Jingwei Hu 002; Ruiwen Shu (Math. Comput., 2024)

Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation. - Lukas Einkemmer; Jingwei Hu 002; Jonas Kusch (SIAM J. Numer. Anal., 2024)

An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations. - Chen Liu 015; Jingwei Hu 002; William T. Taitano; Xiangxiong Zhang (Comput. Math. Appl., 2025)

Asymptotic-preserving dynamical low-rank method for the stiff nonlinear Boltzmann equation. - Lukas Einkemmer; Jingwei Hu 002; Shiheng Zhang (J. Comput. Phys., 2025)

An explicit, energy-conserving particle-in-cell scheme. - Lee F. Ricketson; Jingwei Hu 002 (J. Comput. Phys., 2025)

Symmetric Gauss-Seidel Method with a Preconditioned Fixed-Point Iteration for the Steady-State Boltzmann Equation. - Zhenning Cai; Xiaoyu Dong; Jingwei Hu 002 (SIAM J. Sci. Comput., 2025)

Fully Discrete Energy-Dissipative and Conservative Discrete Gradient Particle Methods for a Class of Continuity Equations. - Jingwei Hu 002; Samuel Q. Van Fleet; Andy T. S. Wan (SIAM J. Sci. Comput., 2025)

SAV-Based Entropy-Dissipative Schemes for a Class of Kinetic Equations. - Shiheng Zhang; Jie Shen 001; Jingwei Hu 002 (SIAM J. Sci. Comput., 2025)

Score-Based Deterministic Density Sampling. - Vasily Ilin; Bamdad Hosseini; Jingwei Hu 002 (CoRR, 2025)

On the stability of the low-rank projector-splitting integrator for hyperbolic and parabolic equations. - Shiheng Zhang; Jingwei Hu 002 (CoRR, 2025)

Dynamical tensor train approximation for kinetic equations. - Geshuo Wang; Jingwei Hu 002 (J. Comput. Phys., 2026)

DGFS-BE Solver: An open-source Discontinuous Galerkin Fast Spectral Solver for the full Boltzmann equation. - Evgeniia Vorozhbit; Brian Morton; Nirajan Adhikari; Alina A. Alexeenko; Jingwei Hu 002 (SoftwareX, 2026)

A Structure-Preserving Penalization Method for the Single-species Rosenbluth-Fokker-Planck Equation. - Hamad El Kahza; Luis Chacón; William T. Taitano; Jing-Mei Qiu; Jingwei Hu 002 (CoRR, 2026)

A Separable and Asymptotic-Preserving Dynamical Low-Rank Method for the Vlasov-Poisson-Fokker-Planck System. - Shiheng Zhang; Jingwei Hu 002 (CoRR, 2026)

A Neural Score-Based Particle Method for the Vlasov-Maxwell-Landau System. - Vasily Ilin; Jingwei Hu 002 (CoRR, 2026)

Implicit Dynamical Tensor Train Approximation for Kinetic Equations with Stiff Fokker-Planck Collisions. - Geshuo Wang; Jingwei Hu 002 (CoRR, 2026)