A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty. - Shi Jin 003; Ruiwen Shu (J. Comput. Phys., 2017)

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 007; Ruiwen Shu; Li Wang 101 (SIAM J. Numer. Anal., 2018)

On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime. - Jingwei Hu; Shi Jin 003; 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)

Sensitivity Analysis of Burgers' Equation with Shocks. - Qin Li 007; Jian-Guo Liu; Ruiwen Shu (SIAM/ASA J. Uncertain. Quantification, 2020)

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)

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 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)

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)

To blow-up or not to blow-up for a granular kinetic equation. - José A. Carrillo 001; Ruiwen Shu; Li Wang 101; Wuzhe Xu (CoRR, 2024)

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