2 papers
math.NA2024
Analysis and improvement of a semi-Lagrangian exponential scheme for the shallow-water equations on the rotating sphere
João Guilherme Caldas Steinstraesser, Martin Schreiber, Pedro da Silva Peixoto
In this work, we study and extend a class of semi-Lagrangian exponential methods, which combine exponential time integration techniques, suitable for integrating stiff linear terms…
math.NA2023
Parallel-in-time integration of the shallow water equations on the rotating sphere using Parareal and MGRIT
João Guilherme Caldas Steinstraesser, Pedro da Silva Peixoto, Martin Schreiber
Despite the growing interest in parallel-in-time methods as an approach to accelerate numerical simulations in atmospheric modelling, improving their stability and convergence rema…