High Order Semi-lagrangian Particle Methods for Transport Equations: Numerical Analysis and Implementation Issues

@inproceedings{Cottet2014HighOS,
title={High Order Semi-lagrangian Particle Methods for Transport Equations: Numerical Analysis and Implementation Issues},
author={Herv{\'e} Cottet and J.-M. Etancelin and Franck P{\'e}rignon and Christophe Picard},
year={2014}
}

This paper is devoted to the definition, analysis and implementation of semi-Lagrangian methods as they result from particle methods combined with remeshing. We give a complete consistency analysis of these methods, based on the regularity and momentum properties of the remeshing kernels, and a stability analysis of a large class of second and fourth order methods. This analysis is supplemented by numerical illustrations. We also describe a general approach to implement these methods in the… CONTINUE READING