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Symbolic Derivation of Different Class of High-order Compact Schemes for Partial Differential Equations

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Computer Algebra in Scientific Computing CASC’99

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Abstract

A symbolic procedure for deriving finite difference approximations for partial differential equations is described. We restrict our study to high-order compact schemes in conservative and non-conservative form.

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References

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Author information

Authors and Affiliations

  1. CNRS UMR M.I.P. 5640, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse Cedex 04, France

    Michel Fournié

Authors
  1. Michel Fournié
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Technische Universität, D-80290, München, Germany

    Victor G. Ganzha

  2. Institut für Informatik, Technische Universität, D-80290, München, Germany

    Ernst W. Mayr

  3. Institute of Theoretical and Applied Mathematics, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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© 1999 Springer-Verlag Berlin Heidelberg

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Fournié, M. (1999). Symbolic Derivation of Different Class of High-order Compact Schemes for Partial Differential Equations. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing CASC’99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60218-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-60218-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66047-7

  • Online ISBN: 978-3-642-60218-4

  • eBook Packages: Springer Book Archive

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