An exponential-type integrator for the KdV equation
classification
🧮 math.NA
keywords
equationexponential-typeconvergencedatafirst-orderfurthermoregeneralizationinitial
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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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