An exponential-type integrator for the KdV equation

Article

DOI: 10.1007/s00211-016-0859-1

Cite this article as:
Hofmanová, M. & Schratz, K. Numer. Math. (2016). doi:10.1007/s00211-016-0859-1
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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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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

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