Welcome to Tiejun Li's homepage

Ph.D, 2001, Peking University
Associate Professor of Mathematics CV

Office: Room 1549W in No. 1 Science Building, Peking University.
地址：北京大学理科一号楼1549W
Tel: 86-10-62757592
Fax: 86-10-62751801
Email: tieli{at} math {dot} pku {dot} edu {dot} cn

Mailing address:

School of Mathematical Sciences
Peking University
Beijing, 100871
P.R. China

北京大学数学科学学院 (北京市海淀区颐和园路5号), 100871

Useful links

Courses

Applied stochastic analysis (sketch, notes)
Numerical analysis (Homeworks)
Mathematical introduction to fluid mechanics (sketch, homework)
Numerical methods (sketch, notes)

Research interests

My basic interest is the stochastic modeling and simulations in Science and Engineering. Currently, I am mostly interested in the model reduction of complex networks, which can be found from the PNAS paper below. We are trying to develop our algorithm further from some ideas in statistics. Some more research interests include:

Model reduction of complex networks
Multiscale modeling of complex fluids
Chemical reaction kinetics
Numerical solution of SDEs

Recent research activities

Frontiers of CompMath, July 19-22, 2008, Hefei
FoCM08, June 16-26, 2008, City Univ. of Hong Kong
973 project meeting, Nov. 10-11, 2007, Beijing
The 8th Annual Meeting of CompMath in China, Oct. 25-29, 2007, Chengdu
973 group meeting, Sep. 22-24, 2007, Xiangtan
Frontiers of CompMath, Aug. 4-5, 2007, Beijing
ICIAM07, July 16-20, 2007, Zurich

Selected publications (Full publications)

Stabilized Ito S-ROCK methods for stiff stochastic differential equations
(with Assyr Abdulle) submitted to Comm. Math. Sci. pdf

Image segmentation by using the localized subspace iteration algorithm
(with Jinlong Wu) submitted to Science in China, series A. pdf

Localized basis of eigen-subspaces and operator compression
(with Weinan E, and Jianfeng Lu) submitted to Proc. Nat. Acad. Sci.

Optimal partition and effective dynamics of complex networks
(with Weinan E, and Eric Vanden-Eijnden) Proc. Nat. Acad. Sci., 2008, in press. pdf, SI

Analysis of explicit tau-leaping schemes for simulating chemically reacting systems
Multi. Mod. Simul. 6 (2007), 417-436. pdf

Mathematical analysis of multiscale models of complex fluids
(with Pingwen Zhang) Comm. Math. Sci. 5 (2007), 1-51. pdf

Convergence analysis of BCF methods for Hookean dumbbell model
(with Pingwen Zhang) Multi. Model. Simul. 5 (2006), 205-234. pdf

Well-posedness for the dumbbell model of polymeric liquids
(with Weinan E, and Pingwen Zhang) Comm. Math. Phys. 248 (2004), 409-427. pdf

Stochastic models of polymeric liquids at small Deborah number
(with Eric Vanden-Eijnden, Pingwen Zhang, and Weinan E) J. Non-Newtonian Fluid Mech. 121 (2004), 117-125. pdf

Applied Stochastics Seminar

Current Students

Yucheng Hu, Ph.D student
Jinlong Wu, Ph.D student (co-supervise with Professor Weinan E)
Jian Liu, Ph.D student (co-supervise with Professor Weinan E)
Jing Huang (co-supervise with Professor Weinan E)
Rensheng Zhu

Former Students

Xiang Zhou, Master (co-supervise with Professor Weinan E), currently Ph.D student in Princeton
Yan Ding, Ph.D (co-supervise with Professor Pingwen Zhang), currently in China Everbright Bank
Yibiao Wu, Master (co-supervise with Professor Pingwen Zhang), currently in Ping An Insurance Company of China

Some Photos

Last modified: May 1st, 2008.