[PDF] Asymptotics And Borel Summability eBook

Author : Ovidiu Costin
Publisher : CRC Press
Page : 266 pages
File Size : 40,91 MB
Release : 2008-12-04
Category : Mathematics
ISBN : 1420070320

GET BOOK

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
Page : 273 pages
File Size : 21,13 MB
Release : 2011-04-30
Category : Mathematics
ISBN : 8876423796

GET BOOK

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
Page : 289 pages
File Size : 47,76 MB
Release : 2012-02-21
Category : Mathematics
ISBN : 887642377X

GET BOOK

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 : Heather Rosenblatt
Publisher :
Page : 134 pages
File Size : 31,78 MB
Release : 2013
Category :
ISBN :

GET BOOK

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.

Author : Victor Kowalenko
Publisher : Bentham Science Publishers
Page : 262 pages
File Size : 45,10 MB
Release : 2009
Category : Mathematics
ISBN : 1608050106

GET BOOK

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 : Edizioni della Normale
Page : 274 pages
File Size : 46,89 MB
Release : 2011-09-07
Category : Mathematics
ISBN : 9788876423765

GET BOOK

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 : Harvey Segur
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 21,63 MB
Release : 2012-12-06
Category : Science
ISBN : 1475704356

GET BOOK

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 : Herbert Steinrück
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 41,5 MB
Release : 2012-01-29
Category : Technology & Engineering
ISBN : 3709104084

GET BOOK

A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.