Shi Jin(金石)

Shi Jin

Director and Chair Professor

(86-21) 54747530

Brief Introduction

Shi Jin, Chair Professor. He obtained his B.S. in mathematics from Peking University, China, in 1983, and Ph.D. in applied mathematics from University of Arizona in 1991. He had postdoctoral experience at the Courant Institute of Mathematical Sciences, New York University from 1991 to 1993, and has been a full professor in the mathematics department, University of Wisconsin-Madison, serving as the department chair from 2008 to 2011. In 2015, he was awarded Vilas Distinguished Achievement Professor. He was appointed as Sequoia Chair Professor of Shanghai Jiao Tong University in June 2009. He won the Sigma Xi Young Faculty Award of Georgia Tech in 1997. He was honored with Feng Kang Prize of Scientific Computing by Chinese Academy of Sciences in 2001. He was a Chang Jiang Visiting Chair Professor at Tsinghua University by the Ministry of Education of China from 2001 to 2006. He received an Excellent Young Scientist award by National Natural Science Foundation of China in 2002. His honor and awards include a Van Vleck Distinguished Research Prize of the University of Wisconsin-Madison and a Morningside Silver Medal at the fourth International Congress of Chinese Mathematicians, a Vilas Associate award from University of Wisconsin-Madison in 2010, an inaugural fellow of the American Mathematical Society in 2012, a fellow of the Society for Industrial and Applied Mathematics in 2013, and a 45-minute Invited Lecture at the International Congress of Mathematicians to be held in Rio de Janeiro, Brazil, 2018. He founded and has been serving its Editor-in-Chief since 2012 for the International Press journal “Communications in Mathematical Sciences”. He has also served in the editorial boards of 8 other leading journals of computational and applied mathematics.

Research Interests

Computational fluid dynamics, hyperbolic conservation laws, kinetic equations, high frequency wave simulation, computational physics and computational methods for multiscale problems, and uncertainty quantification, etc.

Research Highlights

  1. Introduced relaxation approximations and relaxation schemes for hyperbolic conservation laws and Hamilton-Jacobi equations, which provide a new and simple way to construct approximations and computational methods to nonlinear hyperbolic systems and related problems.

  2. Introduced the concept of “asymptotic-preserving shcemes” for time-space numerical integrations of multiscale kinetic and hyperbolic problems. Established rigorous theory for such schemes for linear transport equation in the diffusive regime, and constructed several classes of asymptotic-preserving schemes for transport equation, Boltzmann equation, Landau equation, kinetic-fluid coupling multiphase problems etc. that allow efficient numerical capturing of both kinetic and hydrodynamic regimes without numerically resolving the microscopic physical scales.

  3. Constructed several classes of efficient semiclassical or multiscale computational methods for quantum dynamics and high frequency waves that are able to capture important microscopic quantum information, such as tunneling, surface hopping, diffraction, etc. with computational cost essentially at the level of classical mechanics.

Selected Publications