This project focuses on the development and implementation of the parareal algorithm in both sequential and parallel formats. The algorithm will be applied to the Lorenz Model of order 1 and 4, using both constant and adaptive time stepping.
- Implement Lorenz Model for order 1 and 4 using constant time stepping.
- Implement Lorenz order 4 solver with adaptive time stepping.
- Add support for Lorenz results visualisation.
- Study scipy.ode with constant and adaptive time stepping.
- Study the parareal algorithm.
- Implement the initial version of parareal in sequential.
- Compare different ode solvers and parareal on the Lorenz system.
- Study a parallel version of the parareal algorithm.
- Implement the parallel version of the parareal algorithm.
To get started with this project, clone the repository and install the required dependencies.
- Python 3.x
- Scipy
- Matplotlib (for visualization)
- mpi4py (for parallelisation)
- Clone the repo
git clone https://github.com/master-csmi/2024-m1-parareal.git