Ruihan Guo School of Mathematics and Statistics
Zhengzhou University
Zhengzhou, Henan 450000, China
E-mail:rguo@zzu.edu.cn

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Education B.S. in Department of Mathematics, China University of Petroleum, June 2009.
Ph.D in School of Mathematical Sciences, University of Science and Technology of China, June 2014, Advisor: Yan Xu.

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List of Publications
R. Guo and Y. Xu,Efficient Solvers of Discontinuous Galerkin Discretization for the Cahn-Hilliard Equations,Journal of Scientific Computing,58(2014),pp.380-408.
R. Guo, Y. Xia and Y. Xu,An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system,Journal of Computational Physics,264(2014),pp.23-40.
R. Guo and Y. Xu,Fast solver for the local discontinuous Galerkin discretization of the KdV type equations,Communications in Computational Physics,17(2015),pp.424-457.
R. Guo, Y. Xu and Z. Xu,Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation,Journal of Scientific Computing,63(2015),pp.913-937.
R. Guo and Y. Xu,An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system,Journal of Computational Physics,298(2015),pp.387-405.
F. Zhang, Y. Xu, F. Chen and R. Guo,Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces,Communications in Computational Physics,18(2015),pp.1380-1416.
R. Guo, L. Ji and Y. Xu,High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation,Journal of Computational Mathematics,34(2016),pp.135-158.
R. Guo and Y. Xu,Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation,SIAM Journal on Scientific Computing,38(2016),pp.A105-A127.
R. Guo, F. Filbet and Y. Xu,Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs,Journal of Scientific Computing,68(2016),pp.1029-1054.

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Current Research Interests Numerical solutions of Cahn-Hilliard-Navier-Stokes equationusing local discontinuous Galerkin (LDG) methods
Numerical solutions of kinetic equations using LDG methods
Numerical solutions of phase field models using LDG methods and convex splitting schemes
High order implicit time integration method for phase field models and other high order derivative nonlinear PDEs
Time-adaptive LDG methods for phase field problems
Efficient solvers for linear and nonlinear equations, such as the multigrid method