Mathematics Group
I. Pure Mathematics Group
Research
Pure mathematics is to study the basic concepts and structures underlying in mathematics. It focuses on a deeper understanding and an extended knowledge of mathematics itself. Usually, pure mathematics is classified into analysis, algebra and geometry. We are a very active and young research group, and conduct top-quality fundamental research in differential equations, algebraic and geometric topology, differential geometry, fractal geometry.
Organization
Pure Mathematics group has one full professor and three assistant professors. The group leader is Professor Yi Zhang.
Name |
Title |
Research Interests |
Yi Zhang |
Full Professor |
1. Theory of ordinary differential equations 2. Functional differential equations 3. Impulsive differential equations |
Xiaomin Chen |
Assistant Professor |
Ricci solitons, almost contact manifolds and its submanifolds |
Shen Fan |
Assistant Professor |
1. Fractal geometry 2. Dynamical system and ergodic theory |
Yang Gao |
Assistant Professor |
1. General Topology 2. Domain Theorey |
II. Applied Mathematics Group
Research
Applied mathematics is an inherently interdisciplinary research area of mathematics and other subjects. Its purpose is to analyze, model and compute for real-world problems arising in natural science, engineering, business, computer science, and industry. This group aims to develop advanced mathematical methods and solve complicated problems from petroleum engineering, optics communication, fluid dynamics, space plasmas, Geophysics and so on.
Organization
Applied Mathematics group has one full professor, three associate professors and three assistant professors. The group leader is Professor Yi Zhang.
Name |
Title |
Research Interests |
Yi Zhang |
Full Professor |
1. Applications of ordinary differential equations 2. Hybrid systems and applications in control and networks |
Limin Yang |
Associate Professor |
1. Boundary problems of partial differential equations from petroleum reservoir and theoretical physics 2. Algebra characters of Toeplitz operator on Bergman spaces |
Guoning Wu |
Associate Professor |
|
Tao Xu |
Associate Professor |
1. Infinite-dimensional Hamitonian structures 2. Stability of soliton 3. Optical solitons and optical rogue waves |
Yang Gao |
Assistant Professor |
1. Mathematical modeling 2. Inversion method of NMR logging |
Dexing Meng |
Assistant Professor |
Nonlinear problems in fluid mechanics, space plasmas and fiber-optic communication field |
Lixia Zhi |
Assistant Professor |
Seismic inversion |
III. Computational Mathematics Group
Research
Computational mathematics, which emphasizes algorithms, numerical methods and symbolic methods, is involved with research in areas of science where the mathematical computation plays a central and essential role. The computational mathematics group conducts research and development of numeric and symbolic algorithms and software for solving a variety of problem in oil and gas reservoirs, groundwater, films, large scale data mining, biology, etc.
Organization
Computational mathematics group has one full professor, four associate professors and one assistant professor. The group leader is Professor Jingwei Liang.
Name |
Title |
Research Interests |
Jingwei Liang |
Full Professor |
1. Black-Oil model of reservoir numerical simulation 2. Simulating water-flooding and polymer-flooding in reservoir |
Jianjun Liu |
Associate Professor |
1. Optimization method and its application 2. Intelligent computing 3. Optimal control |
Ning Ma |
Associate Professor |
1. Numerical solution of PDEs in oil and gas reservoirs 2. Characteristic collocation method, subspace correction and parallel algorithm, water resources numerical simulation method |
Xuehui Cui |
Associate Professor |
1. Computational methods of inverse problems 2. Numerical solution of PDEs in Groundwater |
Liqun Wang |
Associate Professor |
1. Numerical methods for partial differential equations 2. Numerical simulations of interface problems and its applications 3. Reservoir simulation |
Xiangmin Xu |
Assistant Professor |
1. Numerical solution of PDEs in fluid dynamics 2. Adaptive moving mesh methods |
IV. Probability and Statistics Group
Research
Probability and statistics has a wide range of applications in economics, finance, image and signal processing, and data analysis. The aim of the group is to foster the development and application of probability theory and statistics. Our research interest include stochastic processes and their applications, complex stochastic systems, random structures and geometrical probability, and mathematical finance.
Organization
The probability and statistics group has one full professor, two associate professors and three assistant professors. The group leader is Professor Jingwei Liang.
Name |
Title |
Research Interests |
Jingwei Liang |
Full Professor |
Data processing in petroleum geology and engineering based on Geo-statistics |
Xiaotong Li |
Associate Professor |
1. Applied statistics 2. Missing data analysis and causal inference 3. Medical statistics and biomathematics |
Jun Shi |
Associate Professor |
1. Stochastic Differential equations 2. Financial mathematics |
Yanwen Yan |
Assistant Professor |
1. Applied probability and statistics 2. Time series analysis and sampling survey |
Hui Ming |
Assistant Professor |
1. Semi-supervised Learning 2. Statistical analysis with missing data |
Xiaoming Peng |
Assistant Professor |
Financial mathematics |