Numerische Mathematik

, Volume 136, Issue 4, pp 1117–1137 | Cite as

An exponential-type integrator for the KdV equation

Article

Abstract

We introduce an exponential-type time-integrator for the KdV equation and prove its first-order convergence in \(H^1\) for initial data in \(H^3\). Furthermore, we outline the generalization of the presented technique to a second-order method.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Institute of MathematicsTechnical University BerlinBerlinGermany
  2. 2.Fakultät für MathematikKarlsruhe Institute of TechnologyKarlsruheGermany

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