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Where Numerics Can Benefit from Computer Algebra in Finite Difference Modelling of Fluid Flows

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Computer Algebra in Scientific Computing CASC’99

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Abstract

We present several examples of the use of computer algebra systems as a tool in the development and implementation of finite difference schemes modelling fluid flows. Computer algebra is particularly important for transformations of partial differential equations, posedness and stability analysis. Automatic code generation provides a reliable way to process large implicit linear or non-linear finite difference schemes into Fortran code solving them.

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Author information

Authors and Affiliations

  1. Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19, Prague 1, Czech Republic

    Richard Liska

  2. Group T-7, Los Alamos National Laboratory, Los Alamos, 87544, NM, USA

    Burton Wendroff

Authors
  1. Richard Liska
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  2. Burton Wendroff
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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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Liska, R., Wendroff, B. (1999). Where Numerics Can Benefit from Computer Algebra in Finite Difference Modelling of Fluid Flows. 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_21

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  • DOI: https://doi.org/10.1007/978-3-642-60218-4_21

  • 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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