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Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects pp 393–400Cite as

Multi-Dimensional Numerical Schemes

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Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 43))

Abstract

The purpose of this paper is to give some basic ideas about completely multidimensional schemes. We aim to present various numerical schemes for the resolution of linear systems of partial differential equations in high space dimension. We are interested in the global properties of the finite volume principle which provides convergent numerical schemes. In addition, we briefly describe accurate schemes introduced by Lerat which permit us to give various and persuasive numerical examples.

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References

  1. BENHARBIT, CHALABI, VILA, Rapport université de Nice, Novembre 1991.

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  6. CHAMPIER, S., GALLOUET, T., HERBIN, R., Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation, Rapport Université de Savoie, Août 1991.

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Authors and Affiliations

  1. Unité de Mathématiques Pures et Appliquées, École Normale Supérieure de Lyon, 46, Allée d’Italie, F-69364, Lyon Cédex 07, France

    Laurens Jérôme

Authors
  1. Laurens Jérôme
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Andrea Donato Francesco Oliveri

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© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

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Jérôme, L. (1993). Multi-Dimensional Numerical Schemes. In: Donato, A., Oliveri, F. (eds) Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Notes on Numerical Fluid Mechanics (NNFM), vol 43. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87871-7_47

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  • DOI: https://doi.org/10.1007/978-3-322-87871-7_47

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-07643-6

  • Online ISBN: 978-3-322-87871-7

  • eBook Packages: Springer Book Archive

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