Director: Li Tiejun

 

Deputy Director: Zhang Lei

 

Overview

Founded in 1955, Peking University’s computational mathematics is one of the first established computational mathematics disciplines and the earliest computational mathematics Ph.D. programs in China. In the late1980s, it was appraised as one of the first national key disciplines and in 2002, 2006 and 2012, it was consecutively enlisted as a national key discipline in the four discipline appraisals administered by the Ministry of Education.

 

The research interests of this discipline mainly include: Numerical Methods for Partial Differential Equations, Scientific and Engineering Computing, Computable Modeling, Numerical Algorithms and Mathematical Theory of Complex Fluid and Complex Flows, Numerical Algebra, Stochastic Modeling and Simulation, Computational Optimization, Deep Learning and Reinforcement Learning, Modeling and Algorithms in Imaging & Data Science, Computational Biology, etc.

 

Since China’s reform and opening up to the world in the late 1970s, a series of fundamental contributions have been made in various research fields by this discipline. Most of those results were published in the top journals of computational and applied mathematics, and several were published in the leading journals such as Annals of Mathematics,Journal of the American Mathematical Society, Communications on Pure and Applied Mathematics, and Science. As a result, more than twenty international and national honors/awards have been acquired, among which there are National Natural Science Awards (twice), the Theodore von Kármán Prize by SIAM (Society for Industry and Applied Mathematics), the Su Buchin Prize by CSIAM (Chinese Society for Industry and Applied Mathematics), and the Feng Kang Prize of Scientific Computing (five times).

 

We have an excellent faculty consisting of ten full professors, three associate professors, and five tenure-track assistant professors; being young and capable, they all excel in expertise. Twelve faculty members are hosted by the School of Mathematical Sciences, and six are members of the Beijing International Center for Mathematical Research. Among the faculty, there are two academicians of the Chinese Academy of Sciences, one Fellow of the World Academy of Sciences for the Advancement of Science in Developing Countries, two professors of the Recruitment Program of Global Experts of China, two chair professors of the Changjiang Scholar Program of the Ministry of Education, one professor of National High-level Personnel of Special Support Program, and seven recipients of the National Natural Science Fund for distinguished Young Scholars (four Class A & three Class B). They are leading experts/youth top-notch experts in various directions of computational mathematics. Three of them were invited to speak at the International Congress of Mathematicians, and five speak at the International Congress on Industrial and Applied Mathematics. In addition, more than eight members serve as editorial board members of international journals, and two serve as the presidents of scientific societies in China.

 

Peking University’s computational mathematics has fostered numerous talents, including the renowned Academician Xuan Wang and Academician Fuqing Yang in the early days, Profs. Jinchao Xu, Jie Shen, Linbo Zhang, Shi Jin, Xiaochuan Cai, Tao Tang, Xiaoping Wang, Jack Xin, Pingwen Zhang, Hongkai Zhao and many other globally recognized computational mathematicians, as well as Profs. Ruo Li, Tiejun Li, Weiying Zheng, Jianfeng Lu and many other distinguished young scholars of computational mathematics in recent fifteen years.

 

Scientific and engineering computing

Developing rapidly in the last decades, scientific and engineering computing is promptly emerging as a new research field and subject after the advent of modern computers. Its related disciplines spread over many research fields including Computational Physics, Computational Chemistry, Computational Mechanics, Computational Material Sciences, Environmental Sciences, Geosciences, Finance and Insurance, etc. The aim of this discipline is to solve problems in scientific studies and engineering applications using state-of-the-art mathematical theory and methods, which scopes from analyzing and improving the reliability, effectiveness and accuracy of computing to the numerical software developing. In particular, it is both in a pure mathematic flavor and of a very pragmatic motivation.

 

The main undergraduate courses of computational mathematics include Numerical Algebra, Numerical Analysis, Numerical PDEs, Optimization Methods, Theoretical Mechanics, Introduction to Fluid Dynamics, CAD in Control Systems, Stochastic Simulation and Monte-Carlo Methods, Inverse Problem of Mathematical Physics, Software and Programming, Software Engineering, and Computer Graphics.

 

Graduates of computational mathematics are very versatile. In fact, in the academic fold, some of them are researchers and/or teachers in research institutes, universities or colleges; in the industrial fold, some are employees of high-tech companies in various realms such as computer, aerospace, radio, remote sensing, architectural design, national defense, finance, financial management, metallurgy, chemical engineering, petroleum engineering, and mechanical engineering.