Автор: Attilio Maccari Название: Asymptotic Perturbation Methods: For Nonlinear Differential Equations in Physics ISBN: 3527414215 ISBN-13(EAN): 9783527414215 Издательство: Wiley Рейтинг: Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Asymptotic Perturbation Methods Cohesive overview of powerful mathematical methods to solve differential equations in physics Asymptotic Perturbation Methods for Nonlinear Differential Equations in Physics addresses nonlinearity in various fields of physics from the vantage point of its mathematical description in the form of nonlinear partial differential equations and presents a unified view on nonlinear systems in physics by providing a common framework to obtain approximate solutions to the respective nonlinear partial differential equations based on the asymptotic perturbation method. Aside from its complete coverage of a complicated topic, a noteworthy feature of the book is the emphasis on applications. There are several examples included throughout the text, and, crucially, the scientific background is explained at an elementary level and closely integrated with the mathematical theory to enable seamless reader comprehension.
To fully understand the concepts within this book, the prerequisites are multivariable calculus and introductory physics. Written by a highly qualified author with significant accomplishments in the field, Asymptotic Perturbation Methods for Nonlinear Differential Equations in Physics covers sample topics such as: Application of the various flavors of the asymptotic perturbation method, such as the Maccari method to the governing equations of nonlinear system Nonlinear oscillators, limit cycles, and their bifurcations, iterated nonlinear maps, continuous systems, and nonlinear partial differential equations (NPDEs) Nonlinear systems, such as the van der Pol oscillator, with advanced coverage of plasma physics, quantum mechanics, elementary particle physics, cosmology, and chaotic systems Infinite-period bifurcation in the nonlinear Schrodinger equation and fractal and chaotic solutions in NPDEs Asymptotic Perturbation Methods for Nonlinear Differential Equations in Physics is ideal for an introductory course at the senior or first year graduate level. It is also a highly valuable reference for any professional scientist who does not possess deep knowledge about nonlinear physics.
Автор: Glauber Roy J Название: Asymptotic Diffraction Theory and Nuclear Scattering ISBN: 1107104114 ISBN-13(EAN): 9781107104112 Издательство: Cambridge Academ Рейтинг: Цена: 141510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a simple physical picture of diffractive nuclear scattering in terms of semi-classical trajectories, illustrated with examples and case studies. It demonstrates the transition from quantum to classical scattering, and is a valuable resource for researchers using scattering theory in nuclear, particle, atomic and molecular physics.
Автор: Dustin G. Mixon, Marina Haikin, Matan Gavish, Ram Zamir Название: Asymptotic Frame Theory for Analog Coding ISBN: 168083908X ISBN-13(EAN): 9781680839081 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 83160.00 T Наличие на складе: Нет в наличии. Описание: Working at the intersection of information theory and neighbouring disciplines, this book provides a comprehensive survey for a new development that can drastically improve the performance of codes used in such systems. It provides a concise and in-depth starting point for a variety of communication and signal processing problems.
Автор: Aghalovyan Lenser A Название: Asymptotic Theory Of Anisotropic Plates And Shells ISBN: 9814579025 ISBN-13(EAN): 9789814579025 Издательство: World Scientific Publishing Рейтинг: Цена: 132000.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied.
The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation.
Автор: Radyadour Kh. Zeytounian Название: Convection in Fluids ISBN: 9048124328 ISBN-13(EAN): 9789048124329 Издательство: Springer Рейтинг: Цена: 148020.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Aims to present a unified rational approach of various convective phenomena in fluids (mainly considered as a thermally perfect gas or an expansible liquid), where the main driving mechanism is the buoyancy force (Archimedean thrust) or temperature-dependent surface tension in homogeneities (Marangoni effect).
Автор: Daniel Bouche; Frederic Molinet; Raj Mittra Название: Asymptotic Methods in Electromagnetics ISBN: 3642644406 ISBN-13(EAN): 9783642644405 Издательство: Springer Рейтинг: Цена: 104480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Numerically rigorous techniques for the computation of electromagnetic fields diffracted by an object become computationally intensive, if not impractical to handle, at high frequencies and one must resort to asymptotic methods to solve the scattering problem at short wavelengths.
Автор: Aschenbrenner, Matthias Dries, Lou Van Den, L.p.d. Hoeven, Joris Van Der Название: Asymptotic differential algebra and model theory of transseries ISBN: 0691175438 ISBN-13(EAN): 9780691175430 Издательство: Wiley Рейтинг: Цена: 82370.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems.
This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity. Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
Автор: Percacci Roberto Название: Introduction To Covariant Quantum Gravity And Asymptotic Safety, An ISBN: 9813207175 ISBN-13(EAN): 9789813207172 Издательство: World Scientific Publishing Цена: 103490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book covers recent developments in the covariant formulation of quantum gravity. Developed in the 1960s by Feynman and DeWitt, by the 1980s this approach seemed to lead nowhere due to perturbative non-renormalizability. The possibility of non-perturbative renormalizability or "asymptotic safety", originally suggested by Weinberg but largely ignored for two decades, was revived towards the end of the century by technical progress in the field of the renormalization group. It is now a very active field of research, providing an alternative to other approaches to quantum gravity.
Written by one of the early contributors to this subject, this book provides a gentle introduction to the relevant ideas and calculational techniques. Several explicit calculations gradually bring the reader close to the current frontier of research. The main difficulties and present lines of development are also outlined.
Автор: Temme Nico M Название: Asymptotic Methods For Integrals ISBN: 9814612154 ISBN-13(EAN): 9789814612159 Издательство: World Scientific Publishing Рейтинг: Цена: 211200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.
The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
Автор: Ostrovsky Lev Название: Asymptotic Perturbation Theory Of Waves ISBN: 1848162359 ISBN-13(EAN): 9781848162358 Издательство: World Scientific Publishing Рейтинг: Цена: 87650.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Elena V. Grigorieva; Sergey A. Kaschenko Название: Asymptotic Representation of Relaxation Oscillations in Lasers ISBN: 3319428594 ISBN-13(EAN): 9783319428598 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors.With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differential-difference equations. As a result, they are reduced to discrete maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as multistability of large-amplitude relaxation cycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others.The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations.
Автор: Kelei Wang Название: Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations ISBN: 364244248X ISBN-13(EAN): 9783642442483 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The results of this exceptional thesis on free boundary problems in singularly perturbed PDEs develop our understanding of the effects of strong competition between species. The research has a wealth of valuable applications in both physics and biology.
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