Event

On strong stability of explicit Runge-Kutta methods

Dr. Zheng Sun
Dr. Zheng Sun

A time discretization method is called strongly stable, if it preserves the energy-decay property of the continuum equations (possibly under a time step constraint). In this talk, we present a general framework on analyzing strong stability of explicit Runge-Kutta (RK) methods for linear autonomous systems. The analysis is based on an energy argument and can be performed easily with a computer program. Strong stability of various RK methods, including a sixteen stage embedded pair, is examined under the framework. Some generic results on linear RK methods are proved.



Biography: Zheng Sun is a postdoctoral assistant professor in the Department of Mathematics at The Ohio State University. Before that, he received his Ph.D. degree in Applied Mathematics from Brown University under the supervision of Professor Chi-Wang Shu. His current research interest is in analysis of time discretization methods and structure-preserving discontinuous Galerkin finite element methods for gradient flows, radiative transport and wave propagation problems.

Last Updated: May 28, 2020 - 4:03 pm