1st Edition

Revival: Numerical Methods and Applications (1994)

Edited By Guri Marchuk Copyright 1994
    ISBN 9781138561007
    282 Pages
    Published January 25, 2019 by CRC Press

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    ISBN 9781138105829
    282 Pages
    Published September 28, 2017 by CRC Press

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    This book presents new original numerical methods that have been developed to the stage of concrete algorithms and successfully applied to practical problems in mathematical physics. The book discusses new methods for solving stiff systems of ordinary differential equations, stiff elliptic problems encountered in problems of composite material mechanics, Navier-Stokes systems, and nonstationary problems with discontinuous data. These methods allow natural paralleling of algorithms and will find many applications in vector and parallel computers.

    Iterative Methods Based on Linearization for Nonlinear Elliptic Grid Systems, E.G. Dyakonov
    How to Solve Stiff Systems of Differential Equations by Explicit Methods, V.I. Lebedev
    On Numerical Methods of Solving Navier-Stokes Equations in "Velocity-Pressure" Variables, G.M. Kobelkov
    Stiff Systems of Ordinary Differential Equations, R.P. Fedorenko
    Convergence Rate Estimates of Finite Element Methods for Second-Order Hyperbolic Equations, A.A. Zlotnik
    Fictitious Domain Methods and Computation of Homogenized Properties of Composites, N.S. Bakhvalov and A.V. Knyazev


    Professor Guri Marchuk has won wide ranging international recognition for his scientific activities. He was a foreign member of the Bulgarian, Czecho-Slovak, Finnish, Indian, Polish, and French Academies of Sciences; he is a honorary doctor of the Toulouse, Carlow, Dresden, Calcutta, Oregon, and Houston Universities, among others. He was awarded a Gold Medal for Services to Science and Humanity of the Czecho-Slovak Academy of Sciences, the A. Karpinskiy Medal and Prize (Germany), and an Order of the Commander of Knights of the French Legion of Honor.

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