Parallel Timestepping Algorithms for Geophysical Fluid Dynamics

UTC
Description

Abstract: 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. Here I will present an overview of several parallel-in-time algorithms that are relevant for weather and climate prediction, illustrating the theory in the context of ordinary differential equations and outlining future plans for applying them to geophysical flows.

Speaker:  Jemma Shipton (University of Exeter)


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