Biography
- Academician of Chinese Academy of Sciences
- Fellow of The World Academy of Sciences(TWAS) for the advancement of science in developing countries
- President of Wuhan University，Deputy Party Committee Secretary
- Peking University Boya Chair Professor
- Director of National Engineering Laboratory for Big Data Analysis and Applications
- President of China Society for Industry and Applied Mathematics (CSIAM)
- President of Chinese Society of Educational Development Strategy Educational Assistance Special Committee
- Modeling and Simulation of Soft Matter (Complex Fluids)
- Applied Analysis And Numerical Analysis
- Big Data Analysis and Applications
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Ph.D. in School of Mathematical Sciences, 1992
Peking University
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B.S. in School of Mathematical Sciences, 1988
Peking University
Honors
- Science and Technology Progress Award by Ho Leung Ho Lee Foundation (2021)
- Fellow of Society for Industrial and Applied Mathematics (2020)
- Fellow of The World Academy of Sciences for the advancement of science in developing countries (2016)
- Academician of Chinese Academy of Sciences (2015)
- National Prize of Natural Sciences (Second-prize)(2014)
- Academic leader of Science Fund for creative research groups of the National Natural Science Foundation of China (2014)
- The First Prize of Natural Science Award of the Ministry of Education (2007)
- National Science Foundation for Distinguished Young Scholars (2002)
- Changjiang distinguished professor (2002)
- Feng Kang Prize of Scientific Computing (1999)
- Invited Speaker, 2018 International Congress of Mathematicians (ICM2018)
- Invited Speaker, 2014 SIAM Annual Meeting (SIAM2014)
- Invited Speaker, 7th International Congress on Industrial & Applied Mathematics (ICIAM 2011)
- Chair of Sub-Committee of Academic, 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015)
- President of China Society for Industry and Applied Mathematics (CSIAM)
- Vice President (2002-2006, 2010-2014), China Society for Computational Mathematics (CSCM)
Selected Publications
The nonlinear space-fractional problems often allow multiple stationary solutions, which can be much more complicated than the corresponding integer-order problems. In this paper, we systematically compute the solution landscapes of nonlinear constant/variable-order space-fractional problems on one- and two-dimensional rectangular domains. A fast approximation algorithm is developed to deal with the variable-order spectral fractional Laplacian by approximating the variable-indexing Fourier modes, and then combined with saddle dynamics to construct the solution landscape of variable-order space-fractional phase field model. Numerical experiments are performed to substantiate the accuracy and efficiency of fast approximation algorithm and elucidate essential features of the stationary solutions of space-fractional phase field model. Furthermore, we demonstrate that the solution landscapes of spectral fractional Laplacian problems can be reconfigured by varying the diffusion coefficients in the corresponding integer-order problems.
Recent Publications
Editors
2020 - CSIAM Transactions on Applied Mathematics (Editor in Chief)
2014 - Multiscale Modeling & Simulation, A SIAM Interdisciplinary Journal
2013 - Science China Mathematics
2012 - Discrete and Continuous Dynamical System-B
2011 - Journal of Mathematics in Industry (Coordinating Editors)
2010 - Applied Mathematics and Mechanics;(Associate Chief Editor Since 2014)
2007 - Journal of Computational Mathematics
2006 - Communications in Computational Physics
2006 - International Journal of Nonlinear Science
2005 - Communication in Mathematical Sciences
2005 - Journal of Information and Computational Science
2005 - 2013 SIAM Journal on Numerical Analysis
2002 - Applied Mathematical Research Express (AMRX)
2010 - Advances in Mathematics
2007 - Journal of Engineering Mathematics (China)
2006 - Journal of Mathematics (China)
2004 - Journal of Computational Mathematics (China)
2004 - Journal of Computational Physics (China)
2004 - Northeast Mathematical Journal (China)
Current Ph.D Students
Dawei Wu
2022-
Zhiyi Zhang
2021-
Zhuoyuan Li
2020-
Current Master Students
Current Post-Doc
Graduated Ph.D Students
Chen Yu
2016-2021
Chuansai Zhou
2018-2023
Kai Jiang
Xiangtan University 2006-2011 co-supervised with Prof. Yunqing Huang
Viscoelastic phase separation in complex fluids modeling and numerical simulation
Yi Mo
2012-2018 co-supervised with Prof. Yunqing Huang
Han Wang
2006-2011
Molecular dynamics simulation of liquid water Moment closure approximation of FENE dumbell model
Tian Tian
2015-2021
Yongqiang Cai
2013-2018
Jie Xu
2010-2015
Yang Qu
2009-2012
Tiao Lu
2001-2004 co-supervised with Long-an Ying
High order numerical methods for Maxwell equations in dispersive media and applications
Tiejun Li
1998-2001 co-supervised with Prof. Zhenhuan Teng
Stochastic analysis and simulation stochastic modeling of complex fluids
Dan Hu
2002-2007 co-supervised with Prof. Weinan E
Dynamic modeling and simulation of fluid bio-membranes
Dongzhuo Zhou
2002-2007 co-supervised with Prof. Weinan E
Viscoelastic phase separation in complex fluids modeling and numerical simulation
Guoxian Chen
2004-2008 co-supervised with Prof. Huazhong Tang
Adaptive unstructure moving mesh method and its application in CFD
Kun Li
2006-2011 co-supervised with Prof. Jinchao Xu
Moment closure approximation of FENE dumbell model
Ruo Li
1998-2001 co-supervised with Prof. Zhenhuan Teng
Moving mesh methods based harmonic mapping and applications
Haozhe Tang
2009-2014
He Wei
2003-2008
Modeling and simulations for dislocations in crystals in the framework of Peierls-Nabarro model.
Jiwei Jia
2005-2010 co-supervised with Prof. Jinchao Xu
On the adaptivity of the semi_Lagrangian methods
Zichao Long
2015-2020
Graduated Master Students
Jing Huang
2006-2009 co-supervised with Prof. Weinan E
Study the relation between birth-defect and chemical element content in Shanxi with the Institute of Population Research
Xiang Zhou
2001-2004 co-supervised with Prof. Weinan E
Analysis of 1+1 dimensional stochastic models of liquid crystal polymer flows
Ao Jiang
1998-2000 co-supervised with Prof. Zhenhuan Teng
Inversion of soil parameters from apparent resistivity in a multilayer earth structure
Fangyuan Liu
2016-2019
Jianxin Zhang
2018-2021
Liangda Huang
2000-2003 co-supervised with Prof. Weinan E
Bingham closure of liquid crystalline polymers
Na Zhou
2002-2005 co-supervised with Prof. Weinan E
Dynamical simulation of liquid crystal polymer flows
Renfei Gong
2012-2015
Shouzheng Liu
2001-2004
Mathematical modeling of macrosegregation in the solidification process of binary alloys
Xiangrui Meng
2005-2007
Moving mesh discontinuous Galerkin method for spherical shallow-water equations
Xiaodian Kong
2014-2017
Zhijian Yang
1999-2001
A mathematical model of soil moisture spatial distribution on the hill slopes of the Loess Plateau
Zihan Lei
2015-2018
Graduated Post-Doc
Basang Tsering
2015-2017
Yingwen Guo
2019-2023
Numerical Solution of Partial Differential Equation，Computation and Simulation of Particle Fluid Dynamics
Courses
- 2021
- Discussion on Multiscale Physical Problems (00112510)
- Research Based Learning
- 2020
- Discussion on Multiscale Physical Problems (00112510)
- Big Data Modeling Method (00101819)
- 2019
- Discussion on Multiscale Physical Problems (00112510)
- Numerical Analysis (00130560)
- 2018
- Discussion on Multiscale Physical Problems (00112510)
- Numerical Analysis (00130560)
- 2017
- Discussion on Multiscale Physical Problems (00112510)
- Big Data Modeling Method (00101819)
- 2016
- Discussion on Multiscale Physical Problems (00112510)
- Research Based Learning
- 2015
- Discussion on Multiscale Physical Problems (00112510)
- Research Based Learning
- 2014
- Discussion on Multiscale Physical Problems (00112510)
- Multiscale Modeling and Computational Methods (00112690)
- Research Based Learning
- 2013
- Discussion on Multiscale Physical Problems (00112510)
- Research Based Learning
- 2012
- Discussion on Multiscale Physical Problems (00112510)
- Research Based Learning
- 2011
- Discussion on Multiscale Physical Problems (00112510)
- Multiscale Modeling and Computational Methods (00112690)
- 2010
- Discussion on Multiscale Physical Problems (00112510)
- Multiscale Modeling and Computational Methods (00112690)
- 2009
- Discussion on Multiscale Physical Problems (00112510)
- Multiscale Modeling and Computational Methods (00112690)
- 2008
- Discussion on Multiscale Physical Problems (00112510)
- Mathematical Theory of Inverse Problems (00112530)
- Finite Element Methods II (00111850)
- 2007
- Discussion on Multiscale Physical Problems (00112510)
- Mathematical Theory of Inverse Problems (00112530)
- Numerical Analysis (00130560)
- 2006
- Discussion on Multiscale Physical Problems (00112510)
- Computational Fluid Mechanics (00110820)
- Numerical Analysis (00130560)
- 2005
- Discussion on Multiscale Physical Problems (00112510)
- Mathematical Theory of Inverse Problems (00112530)
- Numerical Analysis (00130560)
- 2004
- Discussion on Multiscale Physical Problems (00112510)
- Applied PDE (00112780)
- Boundary Integral Methods (00113240)
- 2003
- Discussion on Multiscale Physical Problems (00112510)
- Mathematical Theory of Inverse Problems (00112530)
- Computational Methods B (00130280)
- 2002
- Discussion on Multiscale Physical Problems (00112510)
- Boundary Integral Methods (00113240)
- 2001
- Boundary Integral Methods (00113240)
- Introduction of Fluid Mechanics (00130640)
- 2000
- Fluid Mechanics II (00110770)
- Mathematical Theory of Inverse Problems (00112530)
- Computational Methods B (00130280)
- 1999
- Finite Element Methods II (00111850)
- 1997
- Numerical Algebra (00130550)
Contact
Ms. Ying Li
- School of Mathematical Sciences, Peking University
- Beijing, 100871, P. R. China
- Phone: 86-10-62757147
- Fax: 86-10-62757147
- Email: yanyanli @ pku.edu.cn