We present a new parareal waveform relaxation algorithm for time-periodic problems which performs the parallelism both in sub-systems and in time.
[PDF] A New Parareal Algorithm for Time-Periodic Problems with ...
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Right: convergence factor of the new periodic Parareal algorithm (5)-(6) with reduced coarse dynamics: sinusoidal waveform (20) and step function (21), together.
Right: convergence factor of the new periodic Parareal algorithm (5)-(6) with reduced coarse dynamics: sinusoidal waveform (20) and step function (21) ...
Oct 29, 2018 · Based on this approach, we present and analyze a new Parareal algorithm for time-periodic problems with highly-oscillatory discontinuous sources ...
Missing: waveform relaxation
Dec 10, 2013 · We present a new parallel algorithm for time-periodic problems by combining the waveform relaxation method and the parareal algorithm, ...
Furthermore, the waveform relaxation method has been incorporated into the parareal framework to solve the subproblems, which takes the waveform relaxation ...
Jiang, Analysis of a new parareal algorithm based on waveform relaxation. 720 method for time-periodic problems, Numerical Algorithms, 67 (2014), pp. 599–622 ...
A parareal algorithm with a periodic coarse problem and one with a nonperiodic coarse problem, which proves for both linear and nonlinear problems ...
Oct 29, 2018 · Based on this approach, we present and analyze a new Parareal algorithm for time-periodic problems with highly-oscillatory discontinuous sources ...
The parareal Schwarz waveform relaxation algorithm is a new space-time parallel algorithm for the solution of evolution partial differential equations.