Geodesic
Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 5, pp. 815-820 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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M. D. Bragin; B. V. Rogov. Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 5, pp. 815-820. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a8/

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