TIME parallelisation: for eXascale computing and beyond

Recent successes have established the potential of ​parallel-in-time integration as a powerful algorithmic paradigm to unlock the performance of Exascale systems. However, these successes have mainly been achieved in a rather academic setting, without an overarching understanding.

TIME-X will take the next leap in the development and deployment of this promising new approach for massively parallel HPC simulation, enabling​ ​efficient​ ​parallel-in-time​ ​integration​ ​for​ ​real-life​ ​applications.​ ​We​ ​will: ● Provide software for parallel-in-time integration on current and future Exascale HPC architectures, delivering​ ​substantial​ ​improvements​ ​in​ ​parallel​ ​scaling​; ● Develop ​novel algorithmic concepts ​for parallel-in-time integration, deepening our mathematical understanding​ ​of​ ​their​ ​convergence​ ​behaviour​ ​and​ ​including​ ​advances​ ​in​ ​multi-scale​ ​methodology; ● Demonstrate the impact of parallel-in-time integration, ​showcasing the potential on problems that, to date, cannot be tackled with full parallel efficiency in three diverse and challenging application fields with​ ​high​ ​societal​ ​impact:​ ​weather​ ​and​ ​climate,​ ​medicine​ ​and​ ​fusion.

To realise these ambitious, yet achievable goals, the inherently inter-disciplinary TIME-X Consortium unites top researchers from numerical analysis and applied mathematics, computer science and the selected application domains.

Europe is leading research in parallel-in-time integration. ​TIME-X unites all relevant actors at the European level for the first time in a joint strategic research effort.

A strategic investment from the European Commission would enable taking the necessary next step: ​advancing parallel-in-time integration from an academic/mathematical methodology into a widely available technology with a convincing proof of concept, maintaining European leadership in this rapidly advancing​ ​field​ ​and​ ​paving​ ​the​ ​way​ ​for​ ​industrial​ ​adoption.