Flux form Semi-Lagrangian methods for parabolic problems

Keywords

Advanced Numerical Methods for Scientific Computing
SC4I/Digitization, Innovation, and Competitiveness of the Production System
Code:
22/2015
Title:
Flux form Semi-Lagrangian methods for parabolic problems
Date:
Tuesday 5th May 2015
Author(s):
Bonaventura, L.; Ferretti, R.
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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.
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Communications in Applied and Industrial Mathematics, Vol. 7, pp. 53-70, 2016