  We propose an explicit numerical method for the periodic Korteweg-de Vries
equation. Our method is based on a Lawson-type exponential integrator for time
integration and the Rusanov scheme for Burgers' nonlinearity. We prove
first-order convergence in both space and time under a mild
Courant-Friedrichs-Lewy condition $\tau=O(h)$, where $\tau$ and $h$ represent
the time step and mesh size, respectively. Numerical examples illustrating our
convergence result are given.
