NUMERICAL METHODS FOR PDES IN COMPUTER ALGEBRA ENVIRONMENT
                   V.G.Ganzha and E.V.Vorozhtsov
                    ganzha@hrz.uni-kassel.de


                             Abstract

   The complexity of difference schemes approximating the PDEs of fluid
dynamics often makes it impossible to study their important properties like
the stability and approximation by the analytical methods. The combined use
of the symbolic computation (computer algebra(CA)) and the numerical analysis
proves to be an efficient tool for the solution of these problems. On the other
hand, many computational fluid dynamicists appear to be unaware of the recent
developments in the field of powerful computer algebra systems like
Mathematica, Maple, Axiom, etc., and of the capabilities of these systems.
   The main task of the proposed session is to make the computational fluid
dynamicists acquainted with the works in which CA is used both for the
stability and for the approximation study of numerical schemes for solving
the fluid dynamics equations, including the important case of schemes on
curvilinear spatial grids.

Proposed Speakers:

    1. S.Steinberg          6. A.Akritas      11. W.Schmidt
    2. P.J.Roache           7. M.Thune        12. H.Lomax
    3. J.J.Yagla            8. P.Kutler       13. J.F.Thompson
    4. V.G.Ganzha           9. M.Hafez
    5. E.V.Vorozhtsov      10. A.Jameson      14. R. Liska




Talks
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                 V.G.Ganzha and E.V.Vorozhtsov
     Symbolic-Numeric Stability Investigation of Difference
       Schemes for the Euler and Navier-Stokes Equations
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                       V.G.Ganzha and E.V.Vorozhtsov
              Local Approximation Study of Numerical Schemes
                    for Continuum Mechanics Problems
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