Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48979#.VJd3WcCAM4 Author(s) Pedro Pablo Cárdenas Alzate Affiliation(s) Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia . ABSTRACT The interpolation method in a semi-Lagrangian scheme is decisive to its performance. Given the number of grid points one is considering to use for the interpolation, it does not necessarily follow that maximum formal accuracy should give the best results. For the advection equation, the driving force of this method is the method of the characteristics, which accounts for the flow of information in the model equation. This leads naturally to an interpolation problem since th...
Scientific Research Publishing