Weiguo Gao (), PhD

Professor of School of Mathematical Sciences, Fudan University

Last modified: Wed June 15 19:24:00 CST 2009

Office:

Room 1822, East Guanghua Tower
School of Mathematical Sciences, Fudan University
Shanghai 200433, China
 
Office Hours: Mon & Wed, 14:00-16:00 or by Appointment (authorization required)
Email: wggao (at) fudan (dot) edu (dot) cn
Tel: +86-21-6564-2216 (O)

Teaching (Spring 2009):

Iterative Methods for Sparse Linear Systems
Undergraduate Thesis Writing
Guest Lectures in "Science Lecture Series"
Introduction to Scientific Computing (cancelled)

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 M. Shao and Y. Zhang) Robust Projection Method for Fredholm Integral Equation of the Second Kind, Int. J. Comput. Math, accepted for publication.
(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 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

Current Graduate Students:

Meiyue Shao (062018xxx)
Fengfang Xu (062018xxx)
Fengchao Zhang (072018xxx)
Lulu Liu (072018xxx)
Qun Gu (081018xxx)
Xing Zhang (082018xxx)

Undergraduate Research Students:

Jun Ma (0630018xxxx)
Jiecheng Wen (0518xxx)

Gone but not forgotten:

Chen Zhao (032018xxx)
Weifang Zhu (032018xxx)
Xiaoping Lu (042018xxx)
Hua Zheng (042018xxx)
Xiuqi Zhou (052018xxx)

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
Xiaoye S. Li, Computational Research Division, Lawrence Berkeley National Laboratory
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