PERSONAL INFORMATION
Name: Xiaobo Yin, Associate Professor
Address: School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China
E-mail:yinxb@mail.ccnu.edu.cn
EDUCATION
Ph.D. Computational Mathematics,Chinese Academy of Sciences, 2009.
Dissertation: Some research on high accuracy methods. Advisor: Professor Qun Lin.
B.A. Information and Computational Science,Nankai University, 2004.
RESEARCH INTERESTS AND CURRENT RESEARCH WORKS
Adaptive Finite Element Method;
Eigenvalue Problems;
Numerical methods for singularly perturbed diffential equations;
Optimal Control Problem governed by PDEs;
Mesh Generation;
Numerical analysis for nonlocal problem;
Parareal.
ACADEMIC VISITS
September, 2008–February, 2009: Research Assistant, HongKong Baptist University, HongKong
August, 2016 - August, 2017: Visiting Scholar, Columbia University, U.S.A.
SELECTED PAPER
1、
X. Yin,H. Xie, S. Jia and S. Gao,
Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods,
Journal of Computational and Applied Mathematics, 215(1), 127-141, 2008.
2、S. Jia, H. Xie, X. Yin and S. Gao, Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods, Numerical Methods for PDEs, 24(2) ,435-448,2008.
3、S. Jia, H. Xie and X. Yin, Some Progress On Superconvergence for Mixed FEMs, Recent Advances in Computational Sciences, International Workshop on Computational Sciences and its Education, 175-200,2008.
4、S. Jia, H. Xie, X. Yin and S. Gao, Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods, Applications of Mathematics, 54(1), 1-15, 2009.
5、S. Jia, H. Xie and X. Yin, A finite element gradient recovery method based on vertex-edge interpolation, 6, 239-243, 2011.
6、Q. Lin, K. Wang, H. Wang and X. Yin, A uniform error estimate for the bilinear finite element solution of an advection-diffusion equation, Math. Pract. Theory, 18, 220–223, 2011.
7、Q. Lin, K. Wang, H. Wang and X. Yin, A uniformly optimal-order estimate for bilinear finite element method for transient advection-diffusion equations, International Journal of Numerical Analysis and Modeling, 9(1), 73–85, 2012.
8、L. Liu and X. Yin, A family of simultaneous zeros-finding accelerated methods, Chinese Journal of Engineering Mathematics, 29(5), 749-756, 2012.
9、T. Tang, H. Xie and X. Yin, High-order convergence of spectral deferred correction methods on general quadrature nodes, Journal of Scientific Computing, 56(1), 1-13, 2013.
10、H. Xie and X. Yin, Metric tensors for the interpolation error and its gradient in Lp norm, Journal of Computational Physics, 256(1), 543-562, 2014.
11、H. Xie and X. Yin, Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem, Advances in Computational Mathematics, 41，799-812，2015.
12、H. Xie, M. Xie, X. Yin and M. Yue, Computable Error Estimates for Nonsymmetric Eigenvalue Problems, East Asian Journal on Applied Mathematics, 7(3), 583-602, 2017.
13. Y.N. Di, H. Xie, X. Yin, Anisotropic meshes and stabilization parameter design of linear SUPG method for 2D convection-dominated convection-diffusion equations, Journal of Scientific Computing, 76(1), 48-68, 2018.
