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Author : Chin Hyung Kim
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (519 download)
Download or read book Studies on Perturbation Theory written by Chin Hyung Kim and published by . This book was released on 1970 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Konstantinov
Publisher : Gulf Professional Publishing
ISBN 13 : 0080538673
Total Pages : 443 pages
Book Rating : 4.0/5 (85 download)
Download or read book Perturbation Theory for Matrix Equations written by M. Konstantinov and published by Gulf Professional Publishing. This book was released on 2003-05-20 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Per Olov Löwdin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (292 download)
Download or read book Studies in Perturbation Theory written by Per Olov Löwdin and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sylvio Ferraz-Mello
Publisher : Springer Science & Business Media
ISBN 13 : 0387389059
Total Pages : 350 pages
Book Rating : 4.3/5 (873 download)
Download or read book Canonical Perturbation Theories written by Sylvio Ferraz-Mello and published by Springer Science & Business Media. This book was released on 2007-05-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : James A. Murdock
Publisher : SIAM
ISBN 13 : 9781611971095
Total Pages : 358 pages
Book Rating : 4.9/5 (71 download)
Download or read book Perturbations written by James A. Murdock and published by SIAM. This book was released on 1999-01-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbations: Theory and Methods gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of "uniformity" is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB method are covered, and the asymptotic validity (in the rigorous sense) of each method is carefully proved. First published in 1991, this book is still useful today because it is an introduction. It combines perturbation results with those known through other methods. Sometimes a geometrical result (such as the existence of a periodic solution) is rigorously deduced from a perturbation result, and at other times a knowledge of the geometry of the solutions is used to aid in the selection of an effective perturbation method. Dr. Murdock's approach differs from other introductory texts because he attempts to present perturbation theory as a natural part of a larger whole, the mathematical theory of differential equations. He explores the meaning of the results and their connections to other ways of studying the same problems.
Author : Peter Osborne (Ph.D.)
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (5 download)
Download or read book Studies in the Perturbation Theory Model written by Peter Osborne (Ph.D.) and published by . This book was released on 1967 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francisco M. Fernandez
Publisher : CRC Press
ISBN 13 : 1420039644
Total Pages : 289 pages
Book Rating : 4.4/5 (2 download)
Download or read book Introduction to Perturbation Theory in Quantum Mechanics written by Francisco M. Fernandez and published by CRC Press. This book was released on 2000-09-19 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation
Author : William Paulsen
Publisher : CRC Press
ISBN 13 : 1466515120
Total Pages : 546 pages
Book Rating : 4.4/5 (665 download)
Download or read book Asymptotic Analysis and Perturbation Theory written by William Paulsen and published by CRC Press. This book was released on 2013-07-18 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge o
Author : Per-Olov Löwdin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (962 download)
Download or read book Studies in Perturbation Theory written by Per-Olov Löwdin and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Per-Olov Löwdin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (961 download)
Download or read book Studies in Perturbation Theory written by Per-Olov Löwdin and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Chudnovsky
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (36 download)
Download or read book Study of Perturbation Theory in a Time-varying Basis for a One-dimensional Hamiltonian written by Victor Chudnovsky and published by . This book was released on 1996 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert William Jones
Publisher :
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.:/5 (51 download)
Download or read book Time-dependent Perturbation Theory Studies of a Ground-state, Many-fermion System written by Robert William Jones and published by . This book was released on 1969 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dimo Uzunov
Publisher : BoD – Books on Demand
ISBN 13 : 953513261X
Total Pages : 202 pages
Book Rating : 4.5/5 (351 download)
Download or read book Recent Studies inPerturbation Theory written by Dimo Uzunov and published by BoD – Books on Demand. This book was released on 2017-06-14 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 :
Total Pages : pages
Book Rating : 4.:/5 (962 download)
Download or read book Studies in Perturbation Theory written by Per-Olov Löwdin and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shelly Hsiou-er Lin
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (229 download)
Download or read book The Study of Perturbation Theory and Its Aplications written by Shelly Hsiou-er Lin and published by . This book was released on 1967 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martín Lara
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110667320
Total Pages : 315 pages
Book Rating : 4.1/5 (16 download)
Download or read book Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction written by Martín Lara and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-05-10 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analytical solutions to the orbital motion of celestial objects have been nowadays mostly replaced by numerical solutions, but they are still irreplaceable whenever speed is to be preferred to accuracy, or to simplify a dynamical model. In this book, the most common orbital perturbations problems are discussed according to the Lie transforms method, which is the de facto standard in analytical orbital motion calculations"--Print version, page 4 of cover.
Author : J.C. Le Guillou
Publisher : Elsevier
ISBN 13 : 0444596208
Total Pages : 595 pages
Book Rating : 4.4/5 (445 download)
Download or read book Large-Order Behaviour of Perturbation Theory written by J.C. Le Guillou and published by Elsevier. This book was released on 2012-12-02 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
