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A Semi-Lagrangian Scheme for the Open Table Problem in Granular Matter Theory

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • M. Falcone

    (SAPIENZA – Università di Roma, Dipartimento di Matematica)

  • S. Finzi Vita

    (SAPIENZA – Università di Roma, Dipartimento di Matematica)

Abstract

We introduce and analyze a new scheme for the approximation of the two-layer model proposed in [10] for growing sandpiles over an open flat table. The method is based on a semi-Lagrangian approximation of the nonlinear terms which allows to obtain more accurate results with respect to the standard finite difference approximation. We present several features of the scheme and give some hints on its implementation. Finally we show some tests where it is compared with a previously studied finite difference approach.

Suggested Citation

  • M. Falcone & S. Finzi Vita, 2008. "A Semi-Lagrangian Scheme for the Open Table Problem in Granular Matter Theory," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 711-718, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_85
    DOI: 10.1007/978-3-540-69777-0_85
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