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Approximation procedures in nonlinear oscillation theory /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bobylev, N. A.
Otros Autores: Burman, Yu. M. (Yuri M.), 1967-, Korovin, S. K., 1945-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : W. de Gruyer, 1994.
Colección:De Gruyter series in nonlinear analysis and applications ; 2.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Bobylev, N. A. 
245 1 0 |a Approximation procedures in nonlinear oscillation theory /  |c Nikolai A. Bobylev, Yuri M. Burman, Sergey K. Korovin. 
264 1 |a Berlin ;  |a New York :  |b W. de Gruyer,  |c 1994. 
300 |a 1 online resource (284 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a De Gruyter series in nonlinear analysis and applications,  |x 0941-813X ;  |v 2 
504 |a Includes bibliographical references (pages 257-269) and index. 
588 0 |a Print version record. 
505 0 |a Preface -- Contents -- Chapter I: Basic Concepts -- Â 1 Equations for oscillatory systems -- Â 2 The shift operator and first return function -- Â 3 Integral and integrofunctional operators for periodic problem -- Â 4 The harmonic balance method -- Â 5 The method of mechanical quadratures -- Â 6 The collocation method -- Â 7 The method of finite differences -- Â 8 Factor methods -- Chapter II: Existence theorems for oscillatory regimes -- Â 1 Smooth manifolds and differential forms -- Â 2 Degree of a mapping -- Â 3 Rotation of vector fields 
505 8 |a Â 4 Completely continuous vector fields 5 Fixed point principles and solution of operator equations --  6 Forced oscillations in systems with weak nonlinearities --  7 Oscillations in systems with strong nonlinearities. Directing functions method -- Chapter III: Convergence of numerical procedures --  1 Projection methods --  2 Factor methods --  3 Convergence of the harmonic balance method and the collocation method in the problem of periodic oscillations --  4 Convergence of the method of mechanical quadratures 
505 8 |a Â 5 Convergence of the method of finite differences 6 Numerical procedures of approximate construction of oscillatory regimes in autonomous systems --  7 Affinity theory --  8 Effective convergence criteria for numerical procedures --  9 Effective estimates of the convergence rate for the harmonic balance method -- Notes on the References -- References -- Index 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Approximation theory. 
650 0 |a Nonlinear oscillations. 
650 6 |a Théorie de l'approximation. 
650 6 |a Oscillations non linéaires. 
650 7 |a Approximation theory  |2 fast 
650 7 |a Nonlinear oscillations  |2 fast 
700 1 |a Burman, Yu. M.  |q (Yuri M.),  |d 1967-  |1 https://id.oclc.org/worldcat/entity/E39PCjrHH6W97CRhVCKVqfYRqP 
700 1 |a Korovin, S. K.,  |d 1945-  |1 https://id.oclc.org/worldcat/entity/E39PCjyMK3MkjG844PwRHh3dBd 
758 |i has work:  |a Approximation procedures in nonlinear oscillation theory (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFWrQbp9Ptp3Q4BbDw7Vwd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Bobylev, N.A.  |t Approximation procedures in nonlinear oscillation theory.  |d Berlin ; New York : W. de Gruyer, 1994  |h xi, 272 pages ; 25 cm.  |k De Gruyter series in nonlinear analysis and applications ; 2  |z 9783110141320  |w (DLC) 94016854 
830 0 |a De Gruyter series in nonlinear analysis and applications ;  |v 2.  |x 0941-813X 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3044178  |z Texto completo 
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