Weiguo Gao (), PhD

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

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