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arXiv · 2311.12497

Entropy production by implicit Runge-Kutta schemes

Carlos Lozano
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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.

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Carlos Lozano. 2023-11-21. Entropy production by implicit Runge-Kutta schemes. https://doi.org/10.1007/s10915-019-00914-5

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