Research

My research interests include uncertainty quantification (UQ) and numerical methods for kinetic equations and hyperbolic equations.

My publications:

[8] Ruiwen Shu and Shi Jin, A study of Landau damping with random initial inputs, submitted.

[7] 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.

[6] Qin Li, Jian-Guo Liu and Ruiwen Shu, Polynomial interpolation of Burgers’ equation with randomness, SIAM/ASA J. Uncertainty Quantification, submitted.

[5] Qin Li, Ruiwen Shu and Li Wang, A new numerical approach to inverse transport equation with error analysis, SIAM J. Numer. Anal., submitted.

[4] 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.

[3] 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.

[2] 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)

[1] 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.