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

To blow-up or not to blow-up for a granular kinetic equation - José A. Carrillo; Ruiwen Shu; Li Wang; Wuzhe Xu (CoRR, 2024)

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)

Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation - Jingwei Hu; Ruiwen Shu (CoRR, 2023)

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

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

Equilibration of Aggregation-Diffusion Equations with Weak Interaction Forces - Ruiwen Shu (SIAM J. Math. Anal., 2021)

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

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

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 (CoRR, 2021)

Sensitivity Analysis of Burgers' Equation with Shocks - Qin Li; Jian-Guo Liu; Ruiwen Shu (SIAM/ASA J. Uncertain. Quantification, 2020)

On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime - Jingwei Hu; Shi Jin; Ruiwen Shu (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; Ruiwen Shu (Multiscale Model. Simul., 2019)

On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations - Jingwei Hu; Ruiwen Shu (CoRR, 2019)

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

A New Numerical Approach to Inverse Transport Equation with Error Analysis - Qin Li; Ruiwen Shu; Li Wang (SIAM J. Numer. Anal., 2018)

A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty - Shi Jin; Ruiwen Shu (J. Comput. Phys., 2017)