Convergence rates of finite difference schemes for the linear advection and wave equation with rough coefficient
Open access
Author
Date
2017-07Type
- Journal Article
Abstract
We prove convergence rates of explicit finite difference schemes for the linear advection and wave equation in one space dimension with Hölder continuous coefficient. The obtained convergence rates explicitly depend on the Hölder regularity of the coefficient and the modulus of continuity of the initial data. We compare the theoretically established rates with the experimental rates of a couple of numerical examples. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000126337Publication status
publishedExternal links
Journal / series
IMA Journal of Numerical AnalysisVolume
Pages / Article No.
Publisher
Oxford University PressSubject
Linear advection equation; Linear wave equation; Rough coefficient; Finite difference scheme; Convergence rateOrganisational unit
03851 - Mishra, Siddhartha / Mishra, Siddhartha
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.More
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