Date and Time:
Monday 9 January 2023, 11:00 – 17:00 GMT
Tuesday 10 January 2023, 09:00 – 17:00 GMT
Wednesday 11 January 2023, 09:00 – 13:00 GMT
Location: Reed Hall, University of Exeter, Streatham Drive, Exeter EX4 4QR
Overview
In this workshop we will focus on time-parallel methods. Following exciting developments in both mathematical analysis and practical experience, time-parallel methods are undergoing a revival as a potentially powerful route to exploiting future massively parallel exascale supercomputers. Time-parallel methods address the question of what to do when one has reached the limits of strong scaling (decreasing wallclock time by increasing the number of processors working in parallel) through domain decomposition parallelisation in space. A key lesson from the recent literature is that the success of parallel-in-time algorithms critically depends on them being carefully adapted to the equation being solved. Much like regular timestepping methods, there are many parallel-in-time algorithms, and the right algorithm needs to be designed and selected according to the mathematical properties and applications requirements of the underlying system.
This workshop will combine lectures with practical demonstrations to introduce timestepping challenges and how to overcome them using time-parallel methods, such as parareal, deferred corrections and paradiag. The practical demonstrations will be based on jupyter notebooks and some experience of using python is desirable.