TY - JOUR T1 - On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method JO - Communications in Computational Physics VL - 4 SP - 1071 EP - 1080 PY - 2011 DA - 2011/09 SN - 9 DO - http://doi.org/10.4208/cicp.090210.040610a UR - https://global-sci.org/intro/article_detail/cicp/7536.html KW - AB -

In this short note we present a derivation of the Spectral Difference Scheme from a Discontinuous Galerkin (DG) discretization of a nonlinear conservation law. This allows interpretation of the Spectral Difference Scheme as a particular discretization under the quadrature-free nodal DG paradigm. Moreover, it enables identification of the key differences between the Spectral Difference Scheme and standard nodal DG schemes.