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

Nikolaj N. Yanenko

ISBN 10: 3540052720 / ISBN 13: 9783540052722

Editore: Springer Verlag, 1971

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Nice clean, solid hardcover. No writing inside except owner name whited out inside cover. Light rub to front of cover. No dust jacket.

Codice articolo 044505

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• Titolo: The Method of Fractional Steps: The Solution of Problems of Mathematical Physics in Several Variables
• Editore: Springer Verlag
• Data di pubblicazione: 1971
• Lingua: Inglese
• ISBN 10: 3540052720
• ISBN 13: 9783540052722
• Rilegatura: Hardcover
• Condizione: Very Good
• Condizione della sovraccoperta: No Jacket

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Riassunto

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.