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Asymptotic Analysis Ii


Asymptotic Analysis Ii
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Asymptotic Analysis Ii


Asymptotic Analysis Ii
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Author : F. Verhulst
language : en
Publisher: Springer
Release Date : 2006-11-15

Asymptotic Analysis Ii written by F. Verhulst and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Techniques Of Asymptotic Analysis


Techniques Of Asymptotic Analysis
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Author : Lawrence Sirovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Techniques Of Asymptotic Analysis written by Lawrence Sirovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.


These notes originate from a one semester course which forms part of the "Math Methods" cycle at Brown. In the hope that these notes might prove useful for reference purposes several additional sections have been included and also a table of contents and index. Although asymptotic analysis is now enjoying a period of great vitality, these notes do not reflect a research oriented course. The course is aimed toward people in applied mathematics, physics, engineering, etc., who have a need for asymptotic analysis in their work. The choice of subjects has been largely dictated by the likelihood of application. Also abstraction and generality have not been pursued. Technique and computation are given equal prominence with theory. Both rigorous and formal theory is presented --very often in tandem. In practice, the means for a rigorous analysis are not always available. For this reason a goal has been the cultivation of mature formal reasoning. Therefore, during the course of lectures formal presentations gradually eclipse rigorous presentations. When this occurs, rigorous proofs are given as exercises or in the case of lengthy proofs, reference is made to the Reading List at the end.



Asymptotic Analysis


Asymptotic Analysis
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Author : J.D. Murray
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotic Analysis written by J.D. Murray and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


From the reviews: "A good introduction to a subject important for its capacity to circumvent theoretical and practical obstacles, and therefore particularly prized in the applications of mathematics. The book presents a balanced view of the methods and their usefulness: integrals on the real line and in the complex plane which arise in different contexts, and solutions of differential equations not expressible as integrals. Murray includes both historical remarks and references to sources or other more complete treatments. More useful as a guide for self-study than as a reference work, it is accessible to any upperclass mathematics undergraduate. Some exercises and a short bibliography included. Even with E.T. Copson's Asymptotic Expansions or N.G. de Bruijn's Asymptotic Methods in Analysis (1958), any academic library would do well to have this excellent introduction." (S. Puckette, University of the South) #Choice Sept. 1984#1



Asymptotic Analysis Ii


Asymptotic Analysis Ii
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Author : F. Verhulst
language : en
Publisher:
Release Date : 2014-01-15

Asymptotic Analysis Ii written by F. Verhulst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Two Scale Stochastic Systems


Two Scale Stochastic Systems
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Author : Yuri Kabanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Two Scale Stochastic Systems written by Yuri Kabanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.



Analysis Ii


Analysis Ii
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Author : Roger Godement
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-11

Analysis Ii written by Roger Godement and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-11 with Mathematics categories.


Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English.



Asymptotic Analysis For Periodic Structures


Asymptotic Analysis For Periodic Structures
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Author : G. Papanicolau
language : en
Publisher: Elsevier
Release Date : 1978-01-01

Asymptotic Analysis For Periodic Structures written by G. Papanicolau and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.


Asymptotic Analysis for Periodic Structures



Asymptotic Analysis Of Differential Equations


Asymptotic Analysis Of Differential Equations
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Author : Roscoe B. White
language : en
Publisher: World Scientific
Release Date : 2005

Asymptotic Analysis Of Differential Equations written by Roscoe B. White and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Asymptotic Analysis And Boundary Layers


Asymptotic Analysis And Boundary Layers
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Author : Jean Cousteix
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-22

Asymptotic Analysis And Boundary Layers written by Jean Cousteix and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-22 with Science categories.


This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.



Asymptotic Analysis Of Random Walks


Asymptotic Analysis Of Random Walks
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Author : Aleksandr Alekseevich Borovkov
language : en
Publisher: Cambridge University Press
Release Date : 2008

Asymptotic Analysis Of Random Walks written by Aleksandr Alekseevich Borovkov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Asymptotic expansions categories.


This monograph is devoted to studying the asymptotic behaviour of the probabilities of large deviations of the trajectories of random walks, with 'heavy-tailed' (in particular, regularly varying, sub- and semiexponential) jump distributions. It presents a unified and systematic exposition.