Extrapolated Linear Multistep Methods
In this talk, we will discuss how linear multistep methods and classical extrapolation can be combined to obtain new classes of efficient time-integration methods.
Overview
Systems of ordinary differential equations (ODEs) frequently arise from spatial semi-discretizations of partial differential equations. To solve these ODEs numerically, one typically employs Runge-Kutta (RK) or linear multistep methods (LMMs) as time integrators. Extrapolation is a versatile tool with numerous applications; in the present context, we will view it as a technique to accelerate convergence. RK methods coupled with extrapolation have already been considered in the literature. In this talk, we will systematically investigate the convergence and stability properties of combinations of LMMs and global (passive) or local (active) extrapolation.
Presenters
Brief Biography
Lajos Lóczi is a research scientist at the CEMSE division at KAUST, working with professors David Ketcheson and George Turkiyyah. He is an associate professor at the Eötvös Loránd University (ELTE), and at the Budapest University of Technology and Economics (BME) in Hungary. Between 2012 and 2017, he was a postdoctoral fellow then a visiting lecturer at KAUST.
