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

In: Computer Algebra in Scientific Computing CASC’99

Author

Listed:
  • Richard Liska

    (Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering)

  • Burton Wendroff

    (Group T-7, Los Alamos National Laboratory)

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.

Suggested Citation

  • Richard Liska & Burton Wendroff, 1999. "Where Numerics Can Benefit from Computer Algebra in Finite Difference Modelling of Fluid Flows," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing CASC’99, pages 269-286, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60218-4_21
    DOI: 10.1007/978-3-642-60218-4_21
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