3 papers
math.NA2026
Asymptotic Analysis of Shallow Water Moment Equations
Mieke Daemen, Julio Careaga, Zhenning Cai +1
The Shallow Water Moment Equations (SWME) are an extension of the Shallow Water Equations (SWE) for improved modelling of free-surface flows. In contrast to the SWE, the SWME incor…
math.NA2026
Explicit complex time integrators for stiff problems
Jithin D. George, Julian Koellermeier, Samuel Y. Jung +1
Most numerical methods for time integration use real-valued time steps. Complex time steps, however, can provide an additional degree of freedom, as we can select the magnitude of…
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…