3 papers
cond-mat.stat-mech2026
Revisiting the Coupling of Thermodynamics and Electromagnetics
Stefanie Braun, Henning Struchtrup, Manuel Torrilhon
We revisit the coupling of continuum thermodynamics and electromagnetic theory for polarisable and magnetisable matter in motion. Two routes are followed and then compared. The fir…
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…