Blended numerical schemes for the advection equation and conservation laws
Numerical Analysis
2018-04-13 v2
Abstract
In this paper we propose a method to couple two or more explicit numerical schemes approximating the same time-dependent PDE, aiming at creating new schemes which inherit advantages of the original ones. We consider both advection equations and nonlinear conservation laws. By coupling a macroscopic (Eulerian) scheme with a microscopic (Lagrangian) scheme, we get a new kind of multiscale numerical method.
Keywords
Cite
@article{arxiv.1507.07092,
title = {Blended numerical schemes for the advection equation and conservation laws},
author = {Simone Cacace and Emiliano Cristiani and Roberto Ferretti},
journal= {arXiv preprint arXiv:1507.07092},
year = {2018}
}