Copyright © 2019, Springer Science Business Media, LLC, part of Springer NatureLozano, Carlos2023-12-042023-12-042019-01-23Journal of Scientific Computing 79:1832–1853(2019)0885-7474https://link.springer.com/article/10.1007/s10915-019-00914-5http://hdl.handle.net/20.500.12666/905Lozano, C. Entropy Production by Implicit Runge–Kutta Schemes. J Sci Comput 79, 1832–1853 (2019). https://doi.org/10.1007/s10915-019-00914-5This paper follows up on the author’s recent paper “Entropy Production by Explicit Runge–Kutta schemes” (Lozano in J Sci Comput 76(1):521–564, 2018. https://doi.org/10.1007/s10915-017-0627-0), 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.engRunge-Kuttainfo:eu-repo/semantics/article10.1007/s10915-019-00914-51573-7691info:eu-repo/semantics/restrictedAccess