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


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:


Recent research activities


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

Former Students


Some Photos


Last modified: May 1st, 2008.