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We introduce and analyze different strategies for the parallel-in-timeintegration method PFASST to recover from hard faults and subsequent data loss.Since PFASST stores solutions at multiple time steps on different processors,information from adjacent steps can be used to recover after a processor hasfailed. PFASST's multi-level hierarchy allows to use the coarse level forcorrecting the reconstructed solution, which can help to minimize overhead. Atheoretical model is devised linking overhead to the number of additionalPFASST iterations required for convergence after a fault. The potentialefficiency of different strategies is assessed in terms of required additionaliterations for examples of diffusive and advective type.

Toward fault-tolerant parallel-in-time integration with PFASST