Uncertainty Quantification for Hyperbolic and Kinetic Equations

Shi Jin is a Vilas Distinguished Achievement Professor of Mathematics at the University of Wisconsin-Madison. He earned his B.S. from Peking University and his Ph.D. from the University of Arizona. His research fields include computational fluid dynamics, kinetic equations, hyperbolic conservation laws, high frequency waves, quantum dynamics, and uncertainty quantification - fields in which he has published over 140 papers. He has been honored with the Feng Kang Prize in Scientific Computing and the Morningside Silver Medal of Mathematics at the Fourth International Congress of Chinese Mathematicians, and is a Fellow of both the American Mathematical Society and the Society for Industrial and Applied Mathematics (SIAM).

1 The Stochastic Finite Volume Method.- 2 Uncertainty Modeling and Propagation in Linear Kinetic Equations.- 3 Numerical Methods for High-Dimensional Kinetic Equations.- 4 From Uncertainty Propagation in Transport Equations to Kinetic Polynomials.- 5 Uncertainty Quantification for Kinetic Models in Socio-Economic and Life Sciences.- 6 Uncertainty Quantification for Kinetic Equations.- 7 Monte-Carlo Finite-Volume Methods in Uncertainty Quantification for Hyperbolic Conservation Laws.