The Method of Fractional Steps: The Solution of Problems of Mathematical Physics in Several Variables

Name: The Method of Fractional Steps: The Solution of Problems of Mathematical Physics in Several Variables
Brand: Springer
SKU: 9783642651106
Price: 3672.0 INR
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by Nikolaj N. Yanenko

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ISBN13: 9783642651106
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: January 4, 2012
Pages: 160
Original Price: EUR 49.99
Language: English
Edition: Softcover Repri
Item Weight: 269 grams
BISAC Subject(s): Number Systems, Physics / Mathematical & Computational, and Calculus

About The 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.

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