Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations

被引：2

作者：

Bragin, M. D. ^{[1
]}

Rogov, B. V. ^{[1
,2
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

[2] Russian Acad Sci, Keldysh Inst Appl Math, Moscow 125047, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 05期

关键词：

quasilinear hyperbolic equations; compact difference schemes; high-order accurate bicompact schemes;

D O I：

10.1134/S0965542514050066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The possibility of constructing new third- and fourth-order accurate differential-difference bicompact schemes is explored. The schemes are constructed for the one-dimensional quasilinear advection equation on a symmetric three-point spatial stencil. It is proved that this family of schemes consists of a single fourth-order accurate bicompact scheme. The result is extended to the case of an asymmetric three-point stencil.

引用

页码：831 / 836

页数：6

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