Studies in the Perturbation Theory Model PDF Download
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Author: Peter Osborne (Ph.D.)
Publisher:
ISBN:
Category : Algebra of currents
Languages : en
Pages : 216
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Book Description
Author: Peter Osborne (Ph.D.)
Publisher:
ISBN:
Category : Algebra of currents
Languages : en
Pages : 216
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Book Description
Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 3662126788
Category : Mathematics
Languages : en
Pages : 610
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Book Description
Author: M. Konstantinov
Publisher: Gulf Professional Publishing
ISBN: 0080538673
Category : Mathematics
Languages : en
Pages : 443
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Book Description
The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds. Key features: • The first book in this field • Can be used by a variety of specialists • Material is self-contained • Results can be used in the development of reliable computational algorithms • A large number of examples and graphical illustrations are given • Written by prominent specialists in the field
Author: Sylvio Ferraz-Mello
Publisher: Springer Science & Business Media
ISBN: 0387389059
Category : Science
Languages : en
Pages : 350
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Book Description
The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.
Author: Chin Hyung Kim
Publisher:
ISBN:
Category : Perturbation (Mathematics)
Languages : en
Pages : 212
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Book Description
Author: Dimo Uzunov
Publisher: BoD – Books on Demand
ISBN: 953513261X
Category : Technology & Engineering
Languages : en
Pages : 202
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Book Description
The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).
Author: Per Olov Löwdin
Publisher:
ISBN:
Category : Perturbation (Quantum dynamics)
Languages : en
Pages :
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Book Description
Author: J.C. Le Guillou
Publisher: Elsevier
ISBN: 0444596208
Category : Mathematics
Languages : en
Pages : 595
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Book Description
This volume is concerned with the determination of the behaviour of perturbation theory at large orders in quantum mechanics and quantum field theory, and its application to the problem of summation of perturbation series. Perturbation series in quantum field theory and in many quantum mechanics models are only asymptotic and thus diverge for all values of the expansion parameter. Their behaviour at large orders provides information about whether they define the theory uniquely (the problem of Borel summability). It suggests methods to extract numerical information from the series when the expansion parameter is not small. The articles reprinted here deal with the explicit evaluation of large-order behaviour in many quantum mechanics and field theory models. The large-order behaviour is related to barrier penetration effects for unphysical values of the expansion parameter, which can be calculated by WKB or instanton methods. The calculation of critical exponents of &fgr;4 field theory is presented as a practical application.
Author: İlkay Bakırtaş
Publisher: BoD – Books on Demand
ISBN: 1789842557
Category : Mathematics
Languages : en
Pages : 170
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Book Description
The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.
Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 364266282X
Category : Mathematics
Languages : en
Pages : 643
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Book Description
From the reviews: "[...] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory. [...] I can recommend it for any mathematician or physicist interested in this field." Zentralblatt MATH
