时间：2022/7/12 - 2022/8/23 每周二上午9:00-12:00，每周五上午10:00-11:30.
Yulong Xing (The Ohio State University)
Dr. Yulong Xing is a professor in the Department of Mathematics at the Ohio State University (OSU). He received his bachelor degree from University of Science and Technology of China in 2002, and Ph.D. in Mathematics from Brown University in 2006 under the supervision of Prof. Chi-Wang Shu. Prior to joining OSU, he worked as a Postdoctoral Researcher at Courant Institute, New York University, a staff scientist at Oak Ridge National Laboratory, a joint assistant professor at University of Tennessee Knoxville, and an assistant professor at University of California Riverside. He works in the area of numerical analysis and scientific computing, wave propagation, computational fluid dynamics. His research focuses on the design, analysis and applications of accurate and efficient numerical methods for partial differential equations arising from science and engineering problems. He has received a CAREER Award from the National Science Foundation.
主题：High performance numerical method for the hyperbolic conservation laws
内容简介：The main focus of the seminar series will be on the numerical solution of nonlinear hyperbolic systems of conservation laws. We will cover some basic mathematical theory of the hyperbolic conservation laws: the notion of weak solutions, entropy conditions, etc. We will study basic numerical methods for these equations, including the theory of TVD methods and the use of flux limiter functions. High order numerical method, including the discontinuous Galerkin methods and/or WENO methods will be discussed.