Project profile

Belgium, France, Germany, Italy
01/04/2021 - 31/03/2024


  • Traditional way of achieving parallelism
    • Spatial decomposition of data
    • Parallel execution within each timesteps
    • Successive timesteps executed sequentially
    • This limits scalability


  • New algorithmic approach: parallel-in-time integration
    • (Additionally) parallelise across time dimension
    • Requires research and development of new algorithms
    • Convergence and validation of results are concerns



  • Advance parallel-in-time integration from academic research topic into usable algorithms
  • Demonstrate potential for delivering Exascale performance for a range of scientific and industrial applications”


Technical approach

  • HPC software development considering
    • Load balancing
    • Adaptivity
    • Inexactness and robustness (communication)
  • Algorithm development including
    • Optimisation and optimal control
    • Uncertainty quantification and data assimilation
    • Multiscale propagators
    • Molecular dynamics simulations
  • Application showcases in
    • Medicine, molecular dynamics, electromagnetics, climate/weather

Status / Highlights

  • 19 scientific papers submitted, accepted or published
  • Time-X scientists have given over 50 presentations
  • Four workshops and training events

Project coordinator

Katholieke Universiteit Leuven (KUL)


Address: Belgium