Invited Lecture
Efficient Strong Stability Preserving IMEX Runge-Kutta methods
Universidad Pública de Navarra, Pamplona, Spain
Abstract
During the last decades, the study of Strong Stability Preserving (SSP) properties (e.g., monotonicity, contractivity, positivity, discrete maximum principles, etc.) for Runge-Kutta methods has been an active research topic. Different results are available in the literature and several numerical experiments have been performed with this kind of methods. However, in terms of efficiency, besides the SSP properties of a scheme some other topics turn out to be relevant. These include, e.g. type of problems, sharpness of the theoretical step size restrictions, implementation issues, etc. In this talk we will discuss these issues for SSP Implicit-Explicit Runge-Kutta methods.
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