How Long to Read Methods of Accelerated Convergence in Nonlinear Mechanics

How Long Does it Take to Read Methods of Accelerated Convergence in Nonlinear Mechanics?

It takes the average reader to read Methods of Accelerated Convergence in Nonlinear Mechanics by N.N. Bogoljubov

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Description

This monograph deals with some of the latest results in nonlinear mechanics, obtained recently by the use of a modernized version of Bogoljubov's method of successive changes of variables which ensures rapid convergence. This method visualised as early as 1934 by Krylov and Bogoljubov provides an effective tool for solving many interesting problems of nonlinear mechanics. It led, in particular, to the solution of the problem of the existence of a quasi periodic regime, with the restriction that approximate solutions obtained in the general case involved divergent series. Recently, making use of the research of Kolmogorov and Arno'ld, Bogoljubov has modernised the method of successive substitutions in such a way that the convergence of the corresponding expansions is ensured. This book consists of a short Introduction and seven chapters. The first chapter presents the results obtained by BogoIjubov in 1963 on the extension of the method of successive substitutions and the study of quasi periodic solutions applied to non-conservative systems (inter alia making explicit the dependence of these solutions on the parameter, indicating methods of obtaining asymptotic and convergent series for them, etc.).

How long is Methods of Accelerated Convergence in Nonlinear Mechanics?

Methods of Accelerated Convergence in Nonlinear Mechanics by N.N. Bogoljubov is 0 pages long, and a total of 0 words.

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The average oral reading speed is 183 words per minute. This means it takes to read Methods of Accelerated Convergence in Nonlinear Mechanics aloud.

What Reading Level is Methods of Accelerated Convergence in Nonlinear Mechanics?

Methods of Accelerated Convergence in Nonlinear Mechanics is suitable for students ages 2 and up.

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