An exponential-type integrator for the KdV equation
arXiv:1601.0531175 citationsh-index: 23
AI Analysis
Provides a new numerical method for solving the KdV equation, but the contribution is incremental as it extends existing exponential integrator techniques to a specific PDE.
The authors develop a first-order exponential-type integrator for the KdV equation and prove its convergence in H^1 for H^3 initial data, with an outline for a second-order extension.
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.