TY - JOUR
T1 - A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art
AU - Remi Abgrall
JO - Communications in Computational Physics
VL - 4
SP - 1043
EP - 1080
PY - 2012
DA - 2012/04
SN - 11
DO - http://doi.org/10.4208/cicp.270710.130711s
UR - https://global-sci.org/intro/article_detail/cicp/7401.html
KW - 
AB - <p style="text-align: justify;">We describe and review non oscillatory residual distribution schemes that are rather natural extension of high order finite volume schemes when a special emphasis is put on the structure of the computational stencil. We provide their connections with standard stabilized finite element and discontinuous Galerkin schemes, show that their are really non oscillatory. We also discuss the extension to these methods to parabolic problems. We also draw some research perspectives.&nbsp;</p>