A Semi-Lagrangian Scheme for the Open Table Problem in Granular Matter Theory
M. Falcone () and
S. Finzi Vita ()
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M. Falcone: SAPIENZA – Università di Roma, Dipartimento di Matematica
S. Finzi Vita: SAPIENZA – Università di Roma, Dipartimento di Matematica
A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 711-718 from Springer
Abstract:
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.
Keywords: Constant Source; Source Support; Local Reconstruction; Rolling Layer; Numerical Anisotropy (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_85
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DOI: 10.1007/978-3-540-69777-0_85
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