Speaker
Description
This talk investigates the geometric numerical integration of dissipative systems using Implicit-Explicit Runge-Kutta (IMEX-RK) schemes. We analyze the ability of these methods to maintain the dissipative nature of the exact flow within the numerical solution. This theoretical analysis leads to the construction of some structure-preserving schemes, the effectiveness of which is checked through a selection of numerical experiments.
This talk is based on a joint paper with D'Ambrosio Raffaele (University of L'Aquila), Jackiewicz Zdzislaw and Welfert Bruno(Arizona State University).
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