arXiv:1505.00940 Abstract | arXiv Analytics

arXiv:1505.00940 [math.NA]Abstract References Reviews Resources

Flux form Semi-Lagrangian methods for parabolic problems

Published 2015-05-05Version 1

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.

Categories: math.NA, cs.CE, cs.NA, physics.ao-ph

Subjects: 35L02, 65M60, 65M25, 65M12, 65M08

Keywords: flux form semi-lagrangian methods, consistent semi-lagrangian discretization, nonlinear parabolic problems, nonlinear diffusion equations, convergence analysis

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