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

被引：7
|
作者：
Falcone, M. [1 ]
Vita, S. Finzi [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, Rome, Italy
来源：
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS | 2008年
关键词：
D O I：
10.1007/978-3-540-69777-0_85
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：711 / 718
页数：8
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