3 papers
math.NA2026
Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation
Jan Giesselmann, Fabio Leotta, Hendrik Ranocha +1
We study a hyperbolic approximation ("hyperbolization") of the Cahn-Hilliard (CH) equation, originally proposed by Dhaouadi, Dumbser, and Gavrilyuk (2025, DOI: 10.1098/rspa.2024.06…
math.NA2023
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.NA2020
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations
Václav Kučera, Mária Lukáčová-Medvid'ová, Sebastian Noelle +1
In this paper we derive and analyse a class of linearly implicit schemes which includes the one of Feistauer and Kučera (JCP 2007) as well as the class of RS-IMEX schemes. The impl…