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Robust Convergence of Parareal Algorithms with Arbitrarily High-Order Fine Propagators

Robust Convergence of Parareal Algorithms with Arbitrarily High-Order Fine Propagators

Abstract. The aim of this paper is to analyze the robust convergence of a class of parareal algorithms for solving parabolic problems. The coarse propagator is fixed to the backward Euler method and the fine propagator is a high-order single step integrator. Under some conditions on the fine propagator, we …