Entropy production by implicit Runge-Kutta schemes
Numerical Analysis
2023-11-22 v1 Numerical Analysis
Computational Physics
Fluid Dynamics
Abstract
This paper follows up on the author's recent paper "Entropy Production by Explicit Runge-Kutta schemes", where a formula for the production of entropy by fully discrete schemes with explicit Runge-Kutta time integrators was presented. In this paper, the focus is on implicit Runge-Kutta schemes, for which the fully discrete numerical entropy evolution scheme is derived and tested.
Keywords
Cite
@article{arxiv.2311.12497,
title = {Entropy production by implicit Runge-Kutta schemes},
author = {Carlos Lozano},
journal= {arXiv preprint arXiv:2311.12497},
year = {2023}
}
Comments
This is a postprint (accepted version) of an article published in the Journal of Scientific Computing. The published version may differ from this postprint and is available at: Lozano, C J Sci Comput (2019) https://doi.org/10.1007/s10915-019-00914-5