The efficient use of modern high performance computing (HPC) systems has become one of the key challenges in computational science. Top HPC architectures have already attained million-way concurrency, and current trends suggest that processor counts will continue to grow rapidly. Exploiting these levels of parallelism using traditional techniques for spatial parallelism becomes problematic when, for example, the problem size per processor shrinks and communication costs begin to dominate.

This workshop brings together scientists from the fields of parallel-in-time integration, multigrid methods, and domain decomposition to discuss similarities between their respective approaches to space/time algorithms, their applications and, ultimately, their combination. Questions arising in this context range from possible coarsening strategies to suitable inter-level transfer operators in space and time, and how other features of time-parallel methods can be exploited to further enhance their applicability to complex systems.



Recent advances in parallel-in-time integration, in terms of both theoretical aspects and practical advances, will be showcased by participants through a series of contributed talks.


Our intended participants include young researchers as well as domain experts in time-parallel, multigrid, and domain decomposition methods. The workshop will include several hands on sessions to develop theoretical understanding of the techniques and approaches involved in these fields and give participants a chance to further explore opportunities for collaboration.


Parallel-in-time integration methods have recently moved from proof-of-concept to production applications through the development of several software libraries that implement the MGRIT, Parareal, PFASST, and RIDC algorithms. The workshop will include hands on sessions to walk potential library users through the process of incorporating and using time-parallel methods in their codes. Library designers will also have an opportunity to exchange best-practises, design principles, pitfalls etc.


Participants with accepted abstracts will be invited to publish their contributions, in the format of a short paper (maximum of 20 pages) in the proceedings of the workshop, which will be published as a special issue of Computing and Visualization in Science (Springer).