Flux form Semi-Lagrangian methods for parabolic problems

نویسندگان

  • Luca Bonaventura
  • Roberto Ferretti
چکیده

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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عنوان ژورنال:
  • CoRR

دوره abs/1505.00940  شماره 

صفحات  -

تاریخ انتشار 2015