Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes

Manuel J. Castro, Philippe G. LeFloch, María Luz Muñoz-Ruiz, Carlos Parés. Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes. J. Comput. Physics, 227(17):8107-8129, 2008. [doi]

@article{CastroLMP08,
  title = {Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes},
  author = {Manuel J. Castro and Philippe G. LeFloch and María Luz Muñoz-Ruiz and Carlos Parés},
  year = {2008},
  doi = {10.1016/j.jcp.2008.05.012},
  url = {http://dx.doi.org/10.1016/j.jcp.2008.05.012},
  researchr = {https://researchr.org/publication/CastroLMP08},
  cites = {0},
  citedby = {0},
  journal = {J. Comput. Physics},
  volume = {227},
  number = {17},
  pages = {8107-8129},
}