Shi Jin(金石)

Shi Jin

Chair Professor

(86-21) 54747530

Brief Introduction

Shi Jin, Chair professor, got 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 was a full professor in the mathematics department, University of Wisconsin-Madison, serving as the department chair from 2008 to 2011. In June, 2011, he started his position as the chair of mathematics department, and co-director at Institute of Natural Sciences, at Shanghai Jiao Tong University. His research fields cover computational fluid dynamics, kinetic equations, hyperbolic conservation laws, high frequency waves, computational physics and computational methods for multiscale problems. He has published more than one hundred SCI papers in these fields. He founded the International Press journal “Communications in Mathematical Sciences”. He has also served in the editorial boards of many other famous journals of computational and applied mathematics, such as SIAM Journal on Scientific Computing and SIAM Journal on Applied Mathematics.

He was honored with a Feng Kang Prize of Scientific Computing by Chinese Academy of Sciences in 2001, a Morningside Silver Medal at the fourth International Congress of Chinese Mathematicians which is held every three year. He also received a Vilas Associate award from University of Wisconsin-Madison and was invited to be a Copernicus Visiting Scientist by University of Ferrara in Italy. He was appointed as a Chang Jiang Chair Professor at Tsinghua University by the Ministry of Education of China, received an Excellent Young Scientist award by National Natural Science Foundation of China, and was selected by “the Thousand Talents Program” in China in 2011. In 2012, he was invited to be an inaugural fellow of the American Mathematical Society.

Research Interests

Kinetic theory, computational high frequency wave propagations, semiclassical and multiscale methods in quantum dynamics, numerical methods for conservation laws and front propagation, computational fluid dynamics, 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