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© 1971

The Method of Fractional Steps

The Solution of Problems of Mathematical Physics in Several Variables

  • Maurice Holt
Book

About this book

Introduction

The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborators, for solving problems in theoretical mechanics numerically. It is applicable especially to potential problems, problems of elasticity and problems of fluid dynamics. Most of the applications at the present time have been to incompressible flow with free bound­ aries and to viscous flow at low speeds. The method offers a powerful means of solving the Navier-Stokes equations and the results produced so far cover a range of Reynolds numbers far greater than that attained in earlier methods. Further development of the method should lead to complete numerical solutions of many of the boundary layer and wake problems which at present defy satisfactory treatment. As noted by the author very few applications of the method have yet been made to problems in solid mechanics and prospects for answers both in this field and other areas such as heat transfer are encouraging. As the method is perfected it is likely to supplant traditional relaxation methods and finite element methods, especially with the increase in capability of large scale computers. The literal translation was carried out by T. Cheron with financial support of the Northrop Corporation. The editing of the translation was undertaken in collaboration with N. N. Yanenko and it is a plea­ sure to acknowledge his patient help and advice in this project. The edited manuscript was typed, for the most part, by Mrs.

Keywords

Mathematische Physik Potential Variables finite element method mathematical physics

Authors and affiliations

  1. 1.Siberian Branch Computing CenterU.S.S.R. Academy of SciencesNovosibirskUSSR

Editors and affiliations

  • Maurice Holt
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

Bibliographic information

  • Book Title The Method of Fractional Steps
  • Book Subtitle The Solution of Problems of Mathematical Physics in Several Variables
  • Authors Nikolaj N. Yanenko
  • DOI https://doi.org/10.1007/978-3-642-65108-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1971
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-05272-2
  • Softcover ISBN 978-3-642-65110-6
  • eBook ISBN 978-3-642-65108-3
  • Edition Number 1
  • Number of Pages VIII, 160
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Title of the original edition: Metod drobnych sagov resenija mnogomernych zadac matematceskoj fiziki
  • Topics Numerical Analysis
    Theoretical, Mathematical and Computational Physics
  • Buy this book on publisher's site
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