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math.NA2025
Moment Approximations to Magnetic Rotating Shallow Flows
Julian Koellermeier, Michael Redle, Manuel Torrilhon
Originally introduced to describe a transition region in stars, the magnetic rotating shallow water (MRSW) model is now used in many solar physics and geophysical applications. Der…
math.NA2025
Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration
Daniel Doehring, Hendrik Ranocha, Manuel Torrilhon
We present novel entropy-conservative and entropy-stable multirate Runge-Kutta methods based on Paired Explicit Runge-Kutta (P-ERK) schemes with relaxation for conservation laws an…