Title

Applications of time parallelization

Document Type

Article

Publication Date

12-1-2020

Department

Department of Mathematical Sciences

Abstract

This review article serves to summarize the many advances in time-parallel computations since the excellent review article by Gander, “50 years of Time Parallel Integration” (Gander, in: 50 years of time parallel time integration. Multiple shooting and time domain decomposition, Springer, Berlin, 2015). We focus, when possible, on applications of time parallelism and the observed speedup and efficiency, highlighting the challenges and benefits of parallel time computations. The applications covered range from numerous PDE-based simulations (both hyperbolic and parabolic), to PDE-constrained optimization, powergrid simulations, and machine learning. The time-parallel methods covered range from various iterative schemes (multigrid, waveform, multiple shooting, domain decomposition) to direct time-parallel methods.

Publisher's Statement

© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. Publisher’s version of record: https://doi.org/10.1007/s00791-020-00331-4

Publication Title

Computing and Visualization in Science

Share

COinS