The Method of Fractional Steps

The Solution of Problems of Mathematical Physics in Several Variables

Authors: Yanenko, Nikolaj N.

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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)
  • Uniform Schemes

    Pages 1-16

    Yanenko, Professor N. N.

  • Simple Schemes in Fractional Steps for the Integration of Parabolic Equations

    Pages 17-41

    Yanenko, Professor N. N.

  • Application of the Method of Fractional Steps to Hyperbolic Equations

    Pages 42-53

    Yanenko, Professor N. N.

  • Application of the Method of Fractional Steps to Boundary Value Problems for Laplace’s and Poisson’s Equations

    Pages 54-81

    Yanenko, Professor N. N.

  • Boundary Value Problems in the Theory of Elasticity

    Pages 82-91

    Yanenko, Professor N. N.

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-642-65108-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.99
price for USA in USD
  • ISBN 978-3-642-65110-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
The Method of Fractional Steps
Book Subtitle
The Solution of Problems of Mathematical Physics in Several Variables
Authors
Translated by
Holt, M.
Copyright
1971
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag, Berlin · Heidelberg
eBook ISBN
978-3-642-65108-3
DOI
10.1007/978-3-642-65108-3
Softcover ISBN
978-3-642-65110-6
Edition Number
1
Number of Pages
VIII, 160
Additional Information
Title of the original edition: Metod drobnych sagov resenija mnogomernych zadac matematceskoj fiziki
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