@article{10864,
author = {Giuseppe Coclite and Kenneth Karlsen and Nils Risebro},
title = {An Explicit Finite Difference Scheme for the Camassa-Holm Equation},
abstract = {We put forward and analyze an explicit finite difference scheme for the Camassa-Holm shallow water equation that can handle general H 1 initial data and thus peakon-antipeakon interactions. Assuming a specified condition restricting the time step in terms of the spatial discretization parameter, we prove that the difference scheme converges stongly in H 1 towards a dissipative weak solution of Camassa-Holm equation.},
year = {2008},
journal = {Advances in Differential Equations},
volume = {13},
number = {7-8},
pages = {681-732},
}