Flux form Semi-Lagrangian methods for parabolic problems
Numerical Analysis
2015-05-06 v1 Computational Engineering, Finance, and Science
Numerical Analysis
Atmospheric and Oceanic Physics
Abstract
A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and convergence analysis are proposed. Numerical examples validate the proposed method and display its potential for consistent semi-Lagrangian discretization of advection--diffusion and nonlinear parabolic problems.
Keywords
Cite
@article{arxiv.1505.00940,
title = {Flux form Semi-Lagrangian methods for parabolic problems},
author = {Luca Bonaventura and Roberto Ferretti},
journal= {arXiv preprint arXiv:1505.00940},
year = {2015}
}