Time Integration Parallel in Time

In this paper the research behind the parallelization on the GPU of the time parallel time integration method Parareal. Firstly, the theory behind Parareal and its convergence theorems will be detailed. Then, two test models, the Lorenz system and Heat diffusion equation, will be introduced. Additionally, the derivation of the Forward Euler and...

Massive Parallelization of Trajectory Propagations Using GPUs

Space mission complexity is constantly increasing, therefore there is a growing demand for highly accurate and fast trajectory design and simulation tools. Some astrodynamics applications, such as planetary protection simulations, require millions of total simulated years to quantify certain probabilities with a high confidence level. It is...