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

Richard Liska () and Burton Wendroff ()
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Richard Liska: Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering
Burton Wendroff: Group T-7, Los Alamos National Laboratory

A chapter in Computer Algebra in Scientific Computing CASC’99, 1999, pp 269-286 from Springer

Abstract: 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.

Keywords: Computer Algebra; Computer Algebra System; Shallow Water Model; Finite Difference Modelling; Quantifier Elimination (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-60218-4_21

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DOI: 10.1007/978-3-642-60218-4_21

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