# Spectral deferred corrections with fast-wave slow-wave splitting

@article{Ruprecht2016SpectralDC,
title={Spectral deferred corrections with fast-wave slow-wave splitting},
author={Daniel Ruprecht and Robert Speck},
journal={ArXiv},
year={2016},
volume={abs/1602.01626}
}
• Published 4 February 2016
• Computer Science, Mathematics
• ArXiv
The paper investigates a variant of semi-implicit spectral deferred corrections (SISDC) in which the stiff, fast dynamics correspond to fast propagating waves (fast-wave slow-wave problem''). We show that for a scalar test problem with two imaginary eigenvalues $i \lambda_{\text{f}}$, $i \lambda_{\text{s}}$, having $\Delta t ( | \lambda_{\text{f}} | + | \lambda_{\text{s}} | ) < 1$ is sufficient for the fast-wave slow-wave SDC (fwsw-SDC) iteration to converge and that in the limit of…
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