Asymptotics And Borel Summability
DOWNLOAD
Download Asymptotics And Borel Summability PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Asymptotics And Borel Summability book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Asymptotics And Borel Summability
DOWNLOAD
Author : Ovidiu Costin
language : en
Publisher: CRC Press
Release Date : 2008-12-04
Asymptotics And Borel Summability written by Ovidiu Costin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-04 with Mathematics categories.
Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr
Asymptotics In Dynamics Geometry And Pdes Generalized Borel Summation
DOWNLOAD
Author : Ovidiu Costin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-21
Asymptotics In Dynamics Geometry And Pdes Generalized Borel Summation written by Ovidiu Costin 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 2012-02-21 with Mathematics categories.
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory.
Asymptotic Expansions And Summability
DOWNLOAD
Author : Pascal Remy
language : en
Publisher: Springer Nature
Release Date : 2024-07-01
Asymptotic Expansions And Summability written by Pascal Remy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.
This book provides a comprehensive exploration of the theory of summability of formal power series with analytic coefficients at the origin of Cn, aiming to apply it to formal solutions of partial differential equations (PDEs). It offers three characterizations of summability and discusses their applications to PDEs, which play a pivotal role in understanding physical, chemical, biological, and ecological phenomena. Determining exact solutions and analyzing properties such as dynamic and asymptotic behavior are major challenges in this field. The book compares various summability approaches and presents simple applications to PDEs, introducing theoretical tools such as Nagumo norms, Newton polygon, and combinatorial methods. Additionally, it presents moment PDEs, offering a broad class of functional equations including classical, fractional, and q-difference equations. With detailed examples and references, the book caters to readers familiar with the topics seeking proofs or deeper understanding, as well as newcomers looking for comprehensive tools to grasp the subject matter. Whether readers are seeking precise references or aiming to deepen their knowledge, this book provides the necessary tools to understand the complexities of summability theory and its applications to PDEs.
Divergent Series Summability And Resurgence Iii
DOWNLOAD
Author : Eric Delabaere
language : en
Publisher: Springer
Release Date : 2016-06-28
Divergent Series Summability And Resurgence Iii written by Eric Delabaere and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-28 with Mathematics categories.
The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called “bridge equation”, which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.
Asymptotics In Dynamics Geometry And Pdes Generalized Borel Summation
DOWNLOAD
Author : Ovidiu Costin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-30
Asymptotics In Dynamics Geometry And Pdes Generalized Borel Summation written by Ovidiu Costin 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 2011-04-30 with Mathematics categories.
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with - mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, - local dynamics: parabolic systems, small denominator questions, - new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, - a new family of resurgent functions related to knot theory.
Asymptotic Methods For Engineers
DOWNLOAD
Author : Igor V. Andrianov
language : en
Publisher: CRC Press
Release Date : 2024-05-16
Asymptotic Methods For Engineers written by Igor V. Andrianov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-16 with Mathematics categories.
Asymptotic Methods for Engineers is based on the authors’ many years of practical experience in the application of asymptotic methods to solve engineering problems. This book is devoted to modern asymptotic methods (AM), which is widely used in engineering, applied sciences, physics, and applied mathematics. Avoiding complex formal calculations and justifications, the book’s main goal is to describe the main ideas and algorithms. Moreover, not only is there a presentation of the main AM, but there is also a focus on demonstrating their unity and inseparable connection with the methods of summation and asymptotic interpolation. The book will be useful for students and researchers from applied mathematics and physics and of interest to doctoral and graduate students, university and industry professors from various branches of engineering (mechanical, civil, electro-mechanical, etc.).
Asymptotic Time Decay In Quantum Physics
DOWNLOAD
Author : Domingos H. U. Marchetti
language : en
Publisher: World Scientific
Release Date : 2013
Asymptotic Time Decay In Quantum Physics written by Domingos H. U. Marchetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.
Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability preperties and irreversibility and the "arrow of time." This monograph is devoted to a clear and precise, yet pedagogical account of the associated concepts and methods.
Asymptotics And Borel Summability
DOWNLOAD
Author : Heather Rosenblatt
language : en
Publisher:
Release Date : 2013
Asymptotics And Borel Summability written by Heather Rosenblatt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
The second problem is to give rigorous bounds on the Stokes constant values for a nonlinear ordinary differential equation (ODE) that arises in the context of selection of limiting finger width in viscous fingering -the so called Saffman-Taylor problem. Specifically, it was proved that the selected finger width asymptotically corresponds to values of a parameter C in a nonlinear ODE such that the Stokes constant on the real positive line vanishes. The full asymptotic expansion for the solution includes not only inverse powers of the independent variable, but also exponentially small corrections. We prove rigorous estimates on the Stokes constant and find intervals in C for which the Stokes constant vanishes, in agreement with earlier numerical computations.
Formal And Analytic Solutions Of Differential Equations
DOWNLOAD
Author : Galina Filipuk
language : en
Publisher: World Scientific
Release Date : 2022-03-03
Formal And Analytic Solutions Of Differential Equations written by Galina Filipuk and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-03 with Mathematics categories.
The book provides the reader with an overview of the actual state of research in ordinary and partial differential equations in the complex domain. Topics include summability and asymptotic study of both ordinary and partial differential equations, and also q-difference and differential-difference equations. This book will be of interest to researchers and students who wish to expand their knowledge of these fields.With the latest results and research developments and contributions from experts in their field, Formal and Analytic Solutions of Differential Equations provides a valuable contribution to methods, techniques, different mathematical tools, and study calculations.
Symmetries And Related Topics In Differential And Difference Equations
DOWNLOAD
Author : David Blázquez-Sanz
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Symmetries And Related Topics In Differential And Difference Equations written by David Blázquez-Sanz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
The papers collected here discuss topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, and the development of some geometrical methods in theoretical physics. The reader will find new results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, and the mathematical nature of time in Lagrangian mechanics.