2 papers
math.NA2026
AdHImEx: Adaptively High-Order Implicit-Explicit Transport for Large Time Steps
Amber J. te Winkel, Hilary Weller, Christian Kühnlein +1
Adaptively Implicit-Explicit (AdImEx) time stepping provides stability for large time steps for mass-conservative transport, making it attractive for the numerical representation o…
physics.flu-dyn2024
Adaptively Implicit Advection for Atmospheric Flows
Hilary Weller, Christian Kuehnlein, Piotr K. Smolarkiewicz
Implicit time-stepping for advection is applied locally in space and time where Courant numbers are large, but standard explicit time-stepping is used for the remaining solution wh…