| Description |
1 online resource (284 pages) |
| Series |
De Gruyter series in nonlinear analysis and applications, 0941-813X ; 2 |
|
De Gruyter series in nonlinear analysis and applications ; 2. 0941-813X
|
| Contents |
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 |
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 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 |
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 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 |
| Bibliography |
Includes bibliographical references (pages 257-269) and index |
| Notes |
Print version record |
| Subject |
Approximation theory.
|
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Nonlinear oscillations.
|
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Approximation theory
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Nonlinear oscillations
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| Form |
Electronic book
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| Author |
Burman, Yu. M. (Yuri M.), 1967-
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Korovin, S. K., 1945-
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| ISBN |
9783110885712 |
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3110885719 |
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