Codice 22/2015 Titolo Flux form Semi-Lagrangian methods for parabolic problems Data 2015-05-05 Autore/i Bonaventura, L.; Ferretti, R. Link Download full text Pubblicato Communications in Applied and Industrial Mathematics, Vol. 7, pp. 53-70, 2016 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.