Flux difference splitting and the balancing of source terms and flux gradients

@article{Hubbard2000FluxDS,
  title={Flux difference splitting and the balancing of source terms and flux gradients},
  author={Matthew E. Hubbard and Pilar Garc{\'i}a-Navarro},
  journal={Journal of Computational Physics},
  year={2000},
  volume={165},
  pages={89-125}
}
Abstract Flux difference splitting methods are widely used for the numerical approximation of homogeneous conservation laws where the flux depends only on the conservative variables. However, in many practical situations this is not the case. Not only are source terms commonly part of the mathematical model, but also the flux can vary spatially even when the conservative variables do not. It is the discretisation of the additional terms arising from these two situations which is addressed in… 

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