Articles liés à Perturbation Methods for Differential Equations
Synopsis
Many differential equations with nonlinearities or variable coefficients do not permit the construction of exact solutions. This book introduces several perturbation methods that can be used to develop approximate solutions of such equations. The author focuses almost exclusively on procedures, underlying ideas and applications. Methods treated are applied to ordinary and partial differential equations arising in solid mechanics, fluid dynamics, and plasma physics. Serves as a textbook for graduates/advanced undergraduates in applied mathematics, physics, and engineering, or as a reference for researchers in those fields.
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Perturbation Methods for Differential Equations
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Perturbation Methods for Differential Equations
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Perturbation Methods for Differential Equations (Paperback)
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Springer-Verlag New York Inc., New York, 2012
ISBN 10 : 1461265886
ISBN 13 : 9781461265887
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Paperback. Etat : new. Paperback. In nonlinear problems, essentially new phenomena occur which have no place in the corresponding linear problems. Therefore, in the study of nonlinear problems the major purpose is not so much to introduce methods that improve the accuracy of linear methods, but to focus attention on those features of the nonlinearities that result in distinctively new phenomena. Among the latter are - * existence of solutions ofperiodic problems for all frequencies rather than only a setofcharacteristic values, * dependenceofamplitude on frequency, * removal ofresonance infinities, * appearance ofjump phenomena, * onsetofchaotic motions. On the other hand, mathematical problems associated with nonlinearities are so complex that a comprehensive theory of nonlinear phenomena is out of the question.' Consequently, one practical approach is to settle for something less than complete generality. Thus, one gives up the study of global behavior of solutions of a nonlinear problem and seeks nonlinear solutions in the neighborhood of (or as perturbations about) a known linear solution. This is the basic idea behind a perturbative solutionofa nonlinear problem. In nonlinear problems, essentially new phenomena occur which have no place in the corresponding linear problems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781461265887
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Perturbation Methods for Differential Equations
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Perturbation Methods for Differential Equations
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PF. Etat : New. N° de réf. du vendeur 6666-IUK-9781461265887
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Perturbation Methods for Differential Equations
Edité par
Birkhäuser Boston Okt 2012, 2012
ISBN 10 : 1461265886
ISBN 13 : 9781461265887
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Perturbation methods are widely used in the study of physically significant differential equations, which arise in Applied Mathematics, Physics and Engineering.; Background material is provided in each chapter along with illustrative examples, problems, and solutions.; A comprehensive bibliography and index complete the work.; Covers an important field of solutions for engineering and the physical sciences.; To allow an interdisciplinary readership, the book focuses almost exclusively on the procedures and the underlying ideas and soft pedal the proofs; Dr. Bhimsen K. Shivamoggi has authored seven successful books for various publishers like John Wiley & Sons and Kluwer Academic Publishers. 372 pp. Englisch. N° de réf. du vendeur 9781461265887
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Perturbation Methods for Differential Equations
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Etat : New. pp. 372. N° de réf. du vendeur 2658575938
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Perturbation Methods for Differential Equations
Edité par
Springer-Verlag New York Inc., 2012
ISBN 10 : 1461265886
ISBN 13 : 9781461265887
Neuf
Paperback / softback
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 552. N° de réf. du vendeur C9781461265887
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Perturbation Methods for Differential Equations
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Etat : New. Print on Demand pp. 372 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. N° de réf. du vendeur 51016605
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Perturbation Methods for Differential Equations
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Etat : New. 2012. Paperback. . . . . . N° de réf. du vendeur V9781461265887
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