Si Liu

Research Interests

• Domain decomposition methods and multigrid methods
• Parallel fully coupled algorithms for parallel computing with MPI and PETSc
• Numerical algorithms for solving large-scale non-linear problems

• Inverse problems especially inverse elliptic problems
• Helmholtz equations and the corresponding inverse provlems in biological tissues
• PDE-constrained optimization problems and image processing

Education

• Ph.D in Applied Mathematics, University of Colorado at Boulder
  Expected graduation date: Dec 2009
• M.S. in Applied Mathematics, University of Colorado at Boulder, May 2006
• B.S. in Mathematics, Peking University, China, May 2004

Selected Publications

• S. Liu and X.-C., "Scalability Studies of Two-level Domain Decomposition Aalgorithms for system of nonlinear PDEs", to appear
• X.-C. Cai, S. Liu, and J. Zou, "Parallel Fully Coupled Algorithms for Inverse Elliptic Problems", Comm. App. Math. Comp. Sci., 4 (2009), pp. 1-26
• X.-C. Cai, S. Liu, and J. Zou, "An Overlapping Domain Decomposition Method for Parameter Identification Problems", Lecture Notes in Computational Science and Engineering, U. Langer, M. Discacciati, D.E. Keyes, O.B. Widlund, W. Zulehner (Eds.), Springer, Vol. 60, (2008), pp. 451-458.

Conference Presentations

• Si Liu, "A One-shot Algorithm for Recovering the Lame Parameter in Elastic Materials", 19th International Conference on Domain Decomposition Methods, Aug 2009, Zhangjiajie China
• Si Liu, "Multi-level Domain Decomposition Preconditioners and Applications in Solving Inverse Elliptic Problems", Institute of software Chinese Academy of Sciences, Beijing China
• Si Liu, "Comparison of Two-level Domain Decomposition Algorithms for inverse Problems", SIAM Annual Meeting, July 2009, Denver
• Si Liu, "Parallel Two-Level Domain Decomposition Algorithms For Solving Inverse Elliptic Problems", SIAM Conference on Computational Science and Engineering, Mar 2009, Miami
• Si Liu, "Multilevel Domain Decomposition Algorithms for Inverse Elliptic Problems", 14th Copper Mountain Conference on Multigrid Methods, Mar 2009, Colorado
• Si Liu, "Parallel Fully Coupled Two-Level Domain Decomposition Algorithms For Inverse Problems", Poster presentation at the Wildlund Symposium at the Courant Institute, Sep 2008, New York
• Si Liu, "Parallel Fully Coupled Two-Level Domain Decomposition Algorithms For Inverse Problems", SIAM Conference on Parallel Processing for Scientific Computing, Chair of the contributed presentation session, Mar 2008, Atlanta
• Si Liu, "Parallel Fully Coupled Domain Decomposition Methods for Inverse Elliptic Problems", 13th Copper Mountain Conference on Multigrid Methods, Mar 2007, Colorado

Unofficial Publications

• Si Liu, and Li Gao, "Gradient methods (B-B methods) for impulse noise removal in image processing"
• Si Liu, Guojun Pei, and Minping Qian, "Linguistic Approach to Functional Classification of Kinases"

Technical Background

• Strong analytical and mathematical background
• Proficient programming skills with C/C++, Fortran and Matlab with platforms Windows and Linux
• Extensive experience in algorithm design and simulation for parallel computing
• Good knowledge of parallel programming (MPI, OpenMP) and HPC
• Expert level in numerical computation, optimization, and image processing
• Extensive experience with script languages, such as Shell, Perl, and Python

Teaching

Working Experience

• Cooperated with team members to develop the GNU Flash player Gnash (an open source software) for SWF version 9 and higher
• Implementing ActionScript 3 classes library needed for swf v9/10 & AIR support

Useful Links
University of Colorado Peking University Google