Abstract
We consider various filtered time discretizations of the periodic Korteweg–de Vries equation: a filtered exponential integrator, a filtered Lie splitting scheme, as well as a filtered resonance-based discretization, and establish error estimates at low regularity. Our analysis is based on discrete Bourgain spaces and allows us to prove convergence in for rough data , , with an explicit convergence rate.
Citation
Frédéric Rousset. Katharina Schratz. "Convergence error estimates at low regularity for time discretizations of KdV." Pure Appl. Anal. 4 (1) 127 - 152, April 2022. https://doi.org/10.2140/paa.2022.4.127
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