Asymptotic Perturbation Methods: For Nonlinear Differential Equations in Physics, Attilio Maccari

Автор: Holmes Mark H
Название: Introduction to Perturbation Methods
ISBN: 146145476X ISBN-13(EAN): 9781461454762
Издательство: Springer
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Описание: Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.One hundred new pages added including new material on transcedentally small terms, Kummer`s function, weakly coupled oscillators and wave interactions.

Автор: Valery V. Kozlov; Stanislav D. Furta; Lester Senec
Название: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
ISBN: 3642432409 ISBN-13(EAN): 9783642432408
Издательство: Springer
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Описание: With a pedagogic format ideal for graduate students, this text includes a wealth of examples focusing on solutions in dynamical systems theory that mirror those used in Lyapunov`s first method, tackling ordinary differential equations expressed as series form.

Автор: Mi-Ho Giga; Yoshikazu Giga; J?rgen Saal
Название: Nonlinear Partial Differential Equations
ISBN: 0817641734 ISBN-13(EAN): 9780817641733
Издательство: Springer
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Описание: Focuses on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This book features exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier-Stokes equations, and mean curvature flow equations.

Автор: Jacqueline Sanchez Hubert
Название: Vibration and Coupling of Continuous Systems
ISBN: 3642737846 ISBN-13(EAN): 9783642737848
Издательство: Springer
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Описание: Real problems concerning vibrations of elastic structures are among the most fascinating topics in mathematical and physical research as well as in applications in the engineering sciences.

Автор: J.S. Joel; V.M. Babich; M.V. Fedoryuk; N.S. Bakhva
Название: Partial Differential Equations V
ISBN: 3540533710 ISBN-13(EAN): 9783540533719
Издательство: Springer
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Цена: 136910.00 T
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Описание: The six articles in this EMS volume provide an overview of a number of mid-to-late-1990s techniques in the study of the asymptotic behaviour of partial differential equations. These techniques include the Maslov canonical operator, and semiclassical asymptotics of solutions and eigenfunctions.

Автор: H.G. Kaper; Gail W. Pieper; Marc Garbey
Название: Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters
ISBN: 0792320611 ISBN-13(EAN): 9780792320616
Издательство: Springer
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Описание: A record of the workshop on asymptotic-induced numerical methods for partial differential equations, critical parameters and domain decomposition, held at Beaune, France. The book discusses new computational methods, recent algorithm developments and techniques in mathematical modelling.

Автор: Ostrovsky Lev
Название: Asymptotic Perturbation Theory Of Waves
ISBN: 1848162359 ISBN-13(EAN): 9781848162358
Издательство: World Scientific Publishing
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Описание: Presents an introduction to the perturbation theory for nonlinear waves in dispersive and dissipative media. This work generalizes the integrable evolution equations to include effects of dissipation, inhomogeneity and media rotation. It also considers non-integrable model equations.

Автор: Bender, Carl M. (washington University, Usa) Orsza
Название: Advanced mathematical methods for scientists and engineers
ISBN: 0387989315 ISBN-13(EAN): 9780387989310
Издательство: Springer
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Цена: 79190.00 T
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Описание: A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations.

Автор: Michael Borinsky
Название: Graphs in Perturbation Theory
ISBN: 3030035409 ISBN-13(EAN): 9783030035402
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.

Автор: John P. Boyd
Название: Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
ISBN: 0792350723 ISBN-13(EAN): 9780792350729
Издательство: Springer
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Описание: An examination of weakly nonlocal solitary waves. It describes a class of waves which radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances. It provides specific examples in the areas of water waves, particle physics, meteorology, oceanography, fiber optics pulses and dynamical systems theory.

Автор: John P. Boyd
Название: Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
ISBN: 146137670X ISBN-13(EAN): 9781461376705
Издательство: Springer
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Цена: 93160.00 T
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Описание: " . . . if a physical system is capable of supporting solitary wave motions then such motions will invariably arise from quite general excitations. " - T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to southwest most mornings. Perhaps 300 meters in diameter, perhaps 500 meters above the ocean, these cylinders of cloud stretch from horizon to horizon. As the cloud evaporates on the trailing edge of the wave and condenses on the leading edge, the cylinder appears to roll backwards even as it propagates inland at perhaps 10-20 meters per second. Often, a whole train of cloud-cylinders propagates from Cape Yorke Penisula across the Gulf towards the southwest across modern Burketown, perhaps as much as 500 km inland into the Northern Territory. Modern-day Australians call it the "Morning Glory." What the discover called it, so many centuries before the invention of hieroglyphics, the foundation of Ur and the coronation of the First Dynasty of China, we do not know. But unless he was very different from us, he felt awe. Physicists (Smith, 1988, and Rottman and Einaudi, 1 : 93) have identified the Morning Glory as a solitary wave

Автор: Petar V. Kokotovic; Alain Bensoussan; Gilmer L. Bl
Название: Singular Perturbations and Asymptotic Analysis in Control Systems
ISBN: 3540173625 ISBN-13(EAN): 9783540173625
Издательство: Springer
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