Asymptotics And Borel Summability

Author : Ovidiu Costin
Publisher : CRC Press
ISBN 13 : 1420070320
Total Pages : 266 pages
Book Rating : 4.23/5 ( download)

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Download or read book Asymptotics and Borel Summability written by Ovidiu Costin and published by CRC Press. This book was released on 2008-12-04 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Ovidiu Costin
Publisher : Springer Science & Business Media
ISBN 13 : 8876423796
Total Pages : 450 pages
Book Rating : 4.96/5 ( download)

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Download or read book Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation written by Ovidiu Costin and published by Springer Science & Business Media. This book was released on 2011-04-30 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Ovidiu Costin
Publisher : Springer Science & Business Media
ISBN 13 : 887642377X
Total Pages : 274 pages
Book Rating : 4.72/5 ( download)

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Download or read book Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation written by Ovidiu Costin and published by Springer Science & Business Media. This book was released on 2012-02-21 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Victor Kowalenko
Publisher : Bentham Science Publishers
ISBN 13 : 1608050106
Total Pages : 262 pages
Book Rating : 4.09/5 ( download)

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Download or read book The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation written by Victor Kowalenko and published by Bentham Science Publishers. This book was released on 2009 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions for the regularized values of asymptotic expansions throughout the complex plane. Though different, both yield identical values, which, where possible, agree with the original functions. Consequently, asymptotics has been elevated to a true disc

Author : Ovidiu Costin
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.56/5 ( download)

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Download or read book Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation written by Ovidiu Costin and published by . This book was released on 2011 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Harvey Segur
Publisher : Springer Science & Business Media
ISBN 13 : 1475704356
Total Pages : 388 pages
Book Rating : 4.58/5 ( download)

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Download or read book Asymptotics beyond All Orders written by Harvey Segur and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: An asymptotic expansion is a series that provides a sequence of increasingly accurate approximations to a function in a particular limit. The formal definition, given by Poincare (1886, Acta Math. 8:295), is as follows. Given a function,

Author : Ovidiu Costin
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.78/5 ( download)

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Download or read book Asymptotics in Dynamics, Geometery and PDEs written by Ovidiu Costin and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Peter David Miller
Publisher : American Mathematical Soc.
ISBN 13 : 0821840789
Total Pages : 488 pages
Book Rating : 4.88/5 ( download)

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Download or read book Applied Asymptotic Analysis written by Peter David Miller and published by American Mathematical Soc.. This book was released on 2006 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of asymptotic methods set in the current applied research context of wave propagation. It stresses rigorous analysis in addition to formal manipulations. Asymptotic expansions developed in the text are justified rigorously, and students are shown how to obtain solid error estimates for asymptotic formulae. The book relates examples and exercises to subjects of current research interest, such as the problem of locating the zeros of Taylor polynomials of entirenonvanishing functions and the problem of counting integer lattice points in subsets of the plane with various geometrical properties of the boundary. The book is intended for a beginning graduate course on asymptotic analysis in applied mathematics and is aimed at students of pure and appliedmathematics as well as science and engineering. The basic prerequisite is a background in differential equations, linear algebra, advanced calculus, and complex variables at the level of introductory undergraduate courses on these subjects. The book is ideally suited to the needs of a graduate student who, on the one hand, wants to learn basic applied mathematics, and on the other, wants to understand what is needed to make the various arguments rigorous. Down here in the Village, this is knownas the Courant point of view!! --Percy Deift, Courant Institute, New York Peter D. Miller is an associate professor of mathematics at the University of Michigan at Ann Arbor. He earned a Ph.D. in Applied Mathematics from the University of Arizona and has held positions at the Australian NationalUniversity (Canberra) and Monash University (Melbourne). His current research interests lie in singular limits for integrable systems.

Author : Eric Delabaere
Publisher : Springer
ISBN 13 : 3319290002
Total Pages : 230 pages
Book Rating : 4.03/5 ( download)

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Download or read book Divergent Series, Summability and Resurgence III written by Eric Delabaere and published by Springer. This book was released on 2016-06-28 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Rabi N. Bhattacharya
Publisher : SIAM
ISBN 13 : 089871897X
Total Pages : 333 pages
Book Rating : 4.73/5 ( download)

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Download or read book Normal Approximation and Asymptotic Expansions written by Rabi N. Bhattacharya and published by SIAM. This book was released on 2010-11-11 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: -Fourier analysis, --