An exponential-type integrator for the KdV equation

Published 20 Jan 2016 in math.NA | (1601.05311v3)

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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