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A comparative study of difference schemes for the solution of \(\frac{{\partial u_i }}{{\partial t}} + u_j \frac{{\partial u_i }}{{\partial x_j }} = \nu \frac{{\partial ^2 u_i }}{{\partial x_j \partial x_j }} + \frac{{\partial F}}{{\partial x_i }}\)

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Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 18))

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References

  1. J.J.D.Domingos — Considérations sur le potentiel instantané des vitesses dans un écoulement de fluide visqueux, Comptes Rendus Acad. Sciences, Paris 272, 1666, Série A — 1971

    Google Scholar 

  2. J.J.D.Domingos — Mach Number Effects in Turbulent Flows — AGARD Specialists Meeting in Turbulent Shear Flows — London 1971.

    Google Scholar 

  3. J.J.D.Domingos — The Non-linear equation \(\frac{{\partial \phi }}{{\partial t}} + f(\phi )(\frac{{\partial \phi }}{{\partial x_j }})^2 - \nu \frac{{\partial ^2 \phi }}{{\partial ^{ xj} \partial ^{ xj} }} = 0\) DTA Report RC/2 — 1971

    Google Scholar 

  4. M. Lees — Approximate solutions of parabolic equations — J.SIAM, 7,2,167—1959

    MATH  MathSciNet  Google Scholar 

  5. J. Douglas, B.F. Jones — On predictor-corrector methods for non-linear parabolic differential equations — J. SIAM, 11,1,195 — 1963

    MATH  MathSciNet  Google Scholar 

  6. J.J.D.Domingos, J.M.C.Filipe — EPA 2015 A general computer program for coupled set of quasi-linear parabolic equations in two independent variables — DTA Report RC/11 — 1972

    Google Scholar 

  7. J.M.C. Filipe — Users’ guide for EPA2015

    Google Scholar 

  8. J.J.D.Domingos — Numerical solution of the boundary-layer equations for heat, mass and momentum transfer with chemical reaction — DTA Report RC/12

    Google Scholar 

  9. J. Douglas — Alternating direction methods for three space variables. Numer. Math. 4,1,43,1962

    Google Scholar 

  10. J.J.D.Domingos, J.M.C. Filipe — EPA3012 — A general computer program for coupled sets of quasi-linear parabolic equations in three independent variables — DTA Report RC/13 — 1972

    Google Scholar 

  11. J.J.Amarante — Users’ guide for EPA3012 — DTA Report RC/14

    Google Scholar 

  12. J.M.C.Filipe — EPA4012 — A general computer program for coupled sets of quasi-linear parabolic equations in four independent variables — DTA Report RC/15 — 1972

    Google Scholar 

  13. J.J.D.Domingos — The numerical solution of the boundary-layer equations and some underlying mathematical principles — DTA Report — 1970

    Google Scholar 

  14. J.J.D.Domingos, J.M.C.Filipe — The practical meaning of theoretical stability in numerical schemes — DTA Report RC/16 — 1972

    Google Scholar 

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Henri Cabannes Roger Temam

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© 1973 Springer Verlag

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Domingos, J.J.D., Filipe, J.M.C. (1973). A comparative study of difference schemes for the solution of \(\frac{{\partial u_i }}{{\partial t}} + u_j \frac{{\partial u_i }}{{\partial x_j }} = \nu \frac{{\partial ^2 u_i }}{{\partial x_j \partial x_j }} + \frac{{\partial F}}{{\partial x_i }}\) . In: Cabannes, H., Temam, R. (eds) Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics. Lecture Notes in Physics, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0118664

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  • DOI: https://doi.org/10.1007/BFb0118664

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06170-0

  • Online ISBN: 978-3-540-38377-2

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