Weiguo Gao (高卫国), PhD

Professor of Mathematical Sciences, Fudan University

Last modified: Thu Aug 12 12:28:00 CST 2010

Office:

Room 1821, East Guanghua Tower
School of Mathematical Sciences, Fudan University
Shanghai 200433, China
 
Office Hours: Tue & Thu, 14:00-16:00 or by Appointment
Email: wggao (at) fudan (dot) edu (dot) cn
Tel: +86-21-5566-4506 (O)

Teaching (Fall 2010):

Iterative Methods for Sparse Linear Systems
Numerical Algorithms in Data Sciences

Research Interests:

Numerical linear algebra and large-scale matrix computations
Mathematical softwares and high performance computing
Numerical problems in network and control systems
Electronic structure calculations

Selected Recent Publications:

(with Y. Li, Z. Liu and L. Liu) Mechanism and Activity of Photocatalytic Oxygen Evolution on Titinia Anatase in Aqueous Surroudings, J. Am. Chem. Soc., accepted for publication.
(with M. Shao and Y. Zhang) Robust Projection Method for Fredholm Integral Equation of the Second Kind, Int. J. Comput. Math., in press.
(with C. Yang and J. Meza) On the Convergence of the Self-consistent Field Iteration for a Class of Nonlinear Eigenvalue Problems, SIAM J. Matrix Anal. Appl., 30(4):1773-1788, 2009.
(with W. E) Orbital Minimization with Localization, Dis. Cont. Dyn. Systems-A, 23(1&2):249-264, 2009.
(with X. Li, C. Yang and Z. Bai) An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems, ACM Trans. Math. Soft., 34(4), 2008.
(with W. Zhu and J. Xue) The Sensitivity of the Exponential of an ML-matrix, J. Comput. Math., 26(2):250-258, 2008.
(with B.-S. Liao and Z. Bai) The Important Modes of Subsystems: a Moment-Matching Approach, Inter. J. Numer. Methods Eng., 70:1581-1597, 2007.
(with C. Yang, Z. Bai, X. Li, L. Lee, P. Husbands and E. G. Ng) Algebraic Sub-structuring for Electromagnetic Applications, Lect. Notes Comput. Sci., 3732:364-373, 2006.
(with C. Yang, Z. Bai, X. Li, L. Lee, P. Husbands and E. G. Ng) An Algebraic Sub-structuring Algorithm for Large-scale Eigenvalue Calculation, SIAM J. Sci. Comp., 27(3):873-892, 2005.
(with Y. Zhou) Eigenvalue-based Algorithms for Testing Positive Realness of SISO Systems, IEEE Trans. Auto. Control, 48(11):2051-2055, 2003.

Software Development:

OML -- {O}ribital {M}inimization with {L}ocalization for linear scaling electronic structure calculations
          Joint with W. E, C. J. Garcia-Cervera, L. Lin and J. Lu, parallel implementation in progress
FEMKS -- {F}inite {E}lement {M}ethod for solving {K}ohn-{S}ham equation
          Joint with X. Gong and D. Zhang (A. Zhou's group in CAS developed a similar code in parallel)
ASEIG -- {A}lgebraic {S}ub-struturing {EIG}ensolver
          Joint with Z. Bai, X. Li and C. Yang
CRB -- {C}yclic {R}eduction combined block LU and QR for {B}oundary value problems
          Joint with Z. Bai and W. Chen
PPBE -- {P}arallel {P}oisson-{B}oltzmann {E}quation Solver
          Joint with Z. Liu and L. Liu

Current Graduate Students:

Qun Gu (081018xxx)
Xing Zhang (082018xxx)
Yue Wu (09210180xxx)
Jiecheng Weng (09210180xxx)
Shengyao Xu (09210180xxx)

Gone but not forgotten:

Chen Zhao (032018xxx)
Weifang Zhu (032018xxx)
Xiaoping Lu (042018xxx)
Hua Zheng (042018xxx)
Xiuqi Zhou (052018xxx)
Meiyue Shao (062018xxx)
Fengfang Xu (062018xxx)
Fengchao Zhang (072018xxx)
Lulu Liu (072018xxx)

Links:

Zhaojun Bai, Department of Computer Science, University of California at Davis
Weinan E, Program in Applied and Computational Mathematics, Princeton University
Carlos J. Garcia-Cervera, Mathematics Department, University of California at Santa Barbara
Xingao Gong, Department of Physics, Fudan University
Lie-Quan Lee, Stanford Linear Accelerator Center
Xiaoye S. Li, Computational Research Division, Lawrence Berkeley National Laboratory
Lin Lin, Program in Applied and Computational Mathematics, Princeton University
Zhipan Liu, Department of Chemistry, Fudan University
Jianfeng Lu, Courant Institute of Mathematical Sciences, New York University
Esmond G. Ng, Computational Research Division, Lawrence Berkeley National Laboratory
Chao Yang, Computational Research Division, Lawrence Berkeley National Laboratory
Yishao Zhou, Department of Mathematics, Stockholm University

Workshop on Numerical Linear Algebra and High Performance Computing (past)

Workshop Information (Poster)
Scientific Program
Group Photo