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A space-time parallel solver for the three-dimensional heat equation

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Figure 1. Speedup of time-serial PMG+SDC (blue, circle marker) as well as PMG+PFASST with PMG usingThe dashed grey line indicates ideal speedup, the solid gray lines the speedup from PFASST according to thetheoretical estimate (256 cores (green, square marker) or 2,048 cores (red, diamond marker) on the IBM Blue Gene/Q JUQUEEN.10).
Table 1. Efficiency of the speedup provided by PFASST. Here, the reference is the serial SDC run with 256cores (small run, 129.04 sec for a single SDC time step) and 2,048 cores (large run, 25.73 sec for a single SDCtime step) for PMG
Table 2. Efficiency of the speedup provided by PFASST. Here, the reference is the serial SDC run with 128cores (small run, 73.42 sec for a full SDC time step) and 512 cores (large run, 26.88 sec for a full SDC timestep) for PMG

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