@article{7657,
  author = {Jhmt Boonkkamp and J. van Dijk and L. Liu and K. S. C. Peerenboom},
  title = {Extension of the Complete Flux Scheme to Systems of Conservation Laws},
  abstract = {We present the extension of the complete flux scheme to advection-diffusion-reaction systems. For stationary problems, the flux approximation is derived from a local system boundary value problem for the entire system, including the source term vector. Therefore, the numerical flux vector consists of a homogeneous and an inhomogeneous component, corresponding to the advection-diffusion operator and the source term, respectively. For time-dependent systems, the numerical flux is determined from a quasi-stationary boundary value problem containing the time-derivative in the source term. Consequently, the complete flux scheme results in an implicit semidiscretization. The complete flux scheme is validated for several test problems.},
  year = {2012},
  journal = {Journal of Scientific Computing},
  volume = {53},
  number = {3},
  pages = {552-568},
  month = {Dec},
  isbn = {0885-7474},
  url = {http://link.springer.com/article/10.1007%2Fs10915-012-9588-5},
  doi = {10.1007/s10915-012-9588-5},
  language = {English},
}