9 citations · 9 across the 3 of their papers we have counts for
8 papers
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…
An explicit exponential time integrator based on Faber polynomials and its application to seismic wave modelling
Fernando V. Ravelo, Pedro S. Peixoto, Martin Schreiber
Exponential time integrators have been applied successfully in several physics-related differential equations. However, their application in hyperbolic systems with absorbing bound…
Quantum Algorithms for Solving Ordinary Differential Equations via Classical Integration Methods
Benjamin Zanger, Christian B. Mendl, Martin Schulz +1
Identifying computational tasks suitable for (future) quantum computers is an active field of research. Here we explore utilizing quantum computers for the purpose of solving diffe…
Semi-Lagrangian Exponential Integration with application to the rotating shallow water equations
Pedro da Silva Peixoto, Martin Schreiber
In this paper we propose a novel way to integrate time-evolving partial differential equations that contain nonlinear advection and stiff linear operators, combining exponential in…
Parallel-in-Time Multi-Level Integration of the Shallow-Water Equations on the Rotating Sphere
Francois P. Hamon, Martin Schreiber, Michael L. Minion
The modeling of atmospheric processes in the context of weather and climate simulations is an important and computationally expensive challenge. The temporal integration of the und…
A Parallel Time-Integrator for Solving the Linearized Shallow Water Equations on the Rotating Sphere
Martin Schreiber, Richard Loft
With the stagnation of processor core performance, further reductions in the time-to-solution for geophysical fluid problems are becoming increasingly difficult with standard time…