Linear Convergence of Parareal Algorithm
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Linear Convergence of Parareal Algorithm for Semilinear Parabolic Equations
arXiv:2606.03516v1 Announce Type: new Abstract: Long-time simulations of evolution equations present substantial computational challenges due to the inherently sequential nature of conventional time-stepping schemes. The parareal method, a leading parallel-in-time (PinT) algorithm, offers a promising approach to overcome the challenge by introducing concurrency in the time domain. While its convergence theory is well-established for linear problems, extending the theory to nonlinear...