My research interests include uncertainty quantification (UQ) and numerical methods for kinetic equations and hyperbolic equations.
 Ruiwen Shu and Shi Jin, A study of Landau damping with random initial inputs, submitted.
 Jingwei Hu, Ruiwen Shu and Xiangxiong Zhang, Asymptotic-preserving and positivity-preserving implicit-explicit schemes for the stiff BGK equation, SIAM J. Numer. Anal., submitted.
 Qin Li, Jian-Guo Liu and Ruiwen Shu, Polynomial interpolation of Burgers’ equation with randomness, SIAM/ASA J. Uncertainty Quantification, submitted.
 Qin Li, Ruiwen Shu and Li Wang, A new numerical approach to inverse transport equation with error analysis, SIAM J. Numer. Anal., submitted.
 Ruiwen Shu and Shi Jin, Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime, ESAIM Math. Model. Numer. Anal., submitted.
 Jingwei Hu, Shi Jin and Ruiwen Shu, A stochastic Galerkin method for the Fokker-Planck-Landau equation with random uncertainties, Proc. 16th Int’l Conf. on Hyperbolic Problems, to appear.
 Ruiwen Shu, Jingwei Hu and Shi Jin, A Stochastic Galerkin Method for the Boltzmann Equation with multi-dimensional random inputs using sparse wavelet bases, Numer. Math. Theor. Meth. Appl. (NMTMA) 10, 465-488, 2017. (A special issue in honor of the 80th birthday of Prof. Zhenhuan Teng)
 Shi Jin and Ruiwen Shu, A stochastic Asymptotic-Preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty, J. Comput. Phys., 335, 905-924, 2017.