@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},
}