67 citations · 166 across the 12 of their papers we have counts for
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math.NA2023★ 1 cited
Multiderivative time integration methods preserving nonlinear functionals via relaxation
Hendrik Ranocha, Jochen Schütz
We combine the recent relaxation approach with multiderivative Runge-Kutta methods to preserve conservation or dissipation of entropy functionals for ordinary and partial different…
math.NA2023★ 2 cited
Functional-preserving predictor-corrector multiderivative schemes
Hendrik Ranocha, Jochen Schütz, Eleni Theodosiou
In this work, we develop a class of high-order multiderivative time integration methods that is able to preserve certain functionals discretely. Important ingredients are the recen…