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Asymptotic methods in mechanics of solids

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Asymptotic methods in mechanics of solids/ by Svetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Rémi Vaillancourt.
Author:	Bauer, Svetlana M.
other author:	Filippov, Sergei B.
Description:	XXI, 325 p. 88 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Differential equations. -
Online resource:	https://doi.org/10.1007/978-3-319-18311-4
ISBN:	9783319183114

Asymptotic methods in mechanics of solids
Bauer, Svetlana M.

Asymptotic methods in mechanics of solids[electronic resource] /by Svetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Rémi Vaillancourt. - 1st ed. 2015. - XXI, 325 p. 88 illus.online resource. - International Series of Numerical Mathematics,1670373-3149 ;. - International Series of Numerical Mathematics,167.

Asymptotic Estimates.- Asymptotic Estimates for Integrals.- Regular Perturbation of ODE's.- Singularly Perturbed Linear ODE's.- Linear ODE's with Turning Points.- Asymptotic Integration of Nonlinear ODE's -- Bibliography -- Index.

The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.

ISBN: 9783319183114

Standard No.: 10.1007/978-3-319-18311-4doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Asymptotic methods in mechanics of solids
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