Flux form Semi-Lagrangian methods for parabolic problems

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 stability analysis is proposed. Numerical examples validate the propos...

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Bibliographic Details
Main Authors: Bonaventura Luca, Ferretti Roberto
Format: Article
Language:English
Published: Sciendo 2016-09-01
Series:Communications in Applied and Industrial Mathematics
Subjects:
Online Access:https://doi.org/10.1515/caim-2016-0022