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Sib. Zh. Vychisl. Mat., 2003, Volume 6, Number 1, Pages 89–99 (Mi sjvm178)  

This article is cited in 1 scientific paper (total in 1 paper)

Superconsistent discretizations with application to hyperbolic equation

Daniele Funaro

Dipartimento di Matematica, The article submitted Universita di Modena, Italy

Abstract: A family of finite difference methods for the linear hyperbolic equations, constructed on a six-point stencil, is presented. The family depends on 3 parameters and includes many of the classical linear schemes. The approximation method is based on the use of two different grids. One grid is used to represent the approximated solution, the other (the collocation grid) is where the equation is to be satisfied. The two grids are related in such a way that the exact and the discrete operators have a common space which is as large as possible.

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Bibliographic databases:
UDC: 519.63
Received: 15.08.2002
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Citation: Daniele Funaro, “Superconsistent discretizations with application to hyperbolic equation”, Sib. Zh. Vychisl. Mat., 6:1 (2003), 89–99

Citation in format AMSBIB
\Bibitem{Fun03}
\by Daniele Funaro
\paper Superconsistent discretizations with application to hyperbolic equation
\jour Sib. Zh. Vychisl. Mat.
\yr 2003
\vol 6
\issue 1
\pages 89--99
\mathnet{http://mi.mathnet.ru/sjvm178}
\zmath{https://zbmath.org/?q=an:1032.65092}


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    This publication is cited in the following articles:
    1. Smelov V.V., “Extension of the algebraic aspect of the discrete maximum principle”, Russian J. Numer. Anal. Math. Modelling, 22:6 (2007), 601–614  crossref  mathscinet  zmath  isi  elib  scopus
  • Sibirskii Zhurnal Vychislitel'noi Matematiki
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