General Theory

  • Wlodzimierz Prosnak
Part of the International Centre for Mechanical Sciences book series (CISM, volume 41)


We shall attempt now to present the basic pattern of the MOIR, using for the sake of simplicity a system of partial differential equations with only two independent variables x and y. In presenting this pattern we will follow to some extent the Dorodnicyn’s approach [3].


Partial Differential Equation Ordinary Differential Equation Original Problem Final System Consecutive Operation 
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  1. [1]
    K. Pohlhausen, Zur näherungsweisen Integration der Differentialgleichung der laminaren Grenzschicht. ZAMM, 1 (1921), 252–268.CrossRefMATHGoogle Scholar
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    А.А. Дородницын, Об одном метоце численнопо решения некоторых нелинейных задач аэрогидро-динамики. Труды Ш Всесоюзн. матем. съезда 1956, т. Ш, Изд. АН СССР, 1958, 447–453.Google Scholar
  3. [3]
    A.A. Dorodnicyn, A contribution to the solution of mixed problems of transonic aerodynamics. Adv. in Aeron. Sci., Vol. II. (Proceedings of the First International Congress in the Aeronautical Sciences Madrid Sept. 1958), Pergamon Press, 1959, 832–844.Google Scholar
  4. [4]
    F.B. Hildebrand, Finite-Difference Equations and Simulations. Prentice-Hall, inc., Englewood Clifts, New Jersey, 1968.MATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1970

Authors and Affiliations

  • Wlodzimierz Prosnak
    • 1
  1. 1.Computing Center Polish Academy of SciencesWarsawPoland

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