Kreienbuehl, AndreasAndreasKreienbuehlBenedusi, PietroPietroBenedusiRuprecht, DanielDanielRuprechtKrause, RolfRolfKrause2021-10-142021-10-142017-05-08Communications in Applied Mathematics and Computational Science 12 (1): 109-128 (2017-05-08)http://hdl.handle.net/11420/10519This article demonstrates the applicability of the parallel-in-time method Parareal to the numerical solution of the Einstein gravity equations for the spherical collapse of a massless scalar field. To account for the shrinking of the spatial domain in time, a tailored load balancing scheme is proposed and compared to load balancing based on number of time steps alone. The performance of Parareal is studied for both the sub-critical and black hole case; our experiments show that Parareal generates substantial speedup and, in the super-critical regime, can reproduce Choptuik's black hole mass scaling law.en1559-394020171109128Choptuik scalingEinstein-klein-gordon gravitational collapseLoad balancingPararealSpatial coarseningSpeedupGeneral Relativity and Quantum CosmologyGeneral Relativity and Quantum CosmologyComputer Science - Computational Engineering; Finance; and ScienceComputer Science - Distributed; Parallel; and Cluster ComputingComputer Science - PerformanceJournal Article10.2140/camcos.2017.12.1091509.01572v3Other