Asymptotics beyond All Orders
Title | Asymptotics beyond All Orders PDF eBook |
Author | Harvey Segur |
Publisher | Springer Science & Business Media |
Pages | 388 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 1475704356 |
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,
Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
Title | Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders PDF eBook |
Author | Vic Kowalenko |
Publisher | Cambridge University Press |
Pages | 146 |
Release | 1995-09-14 |
Genre | Mathematics |
ISBN | 9780521497985 |
This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.
Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
Title | Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics PDF eBook |
Author | John P. Boyd |
Publisher | Springer Science & Business Media |
Pages | 609 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461558255 |
This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Asymptotics Beyond-all-orders in Wave-structure Interactions
Title | Asymptotics Beyond-all-orders in Wave-structure Interactions PDF eBook |
Author | Yyanis Johnson-Llambias |
Publisher | |
Pages | 0 |
Release | 2022 |
Genre | |
ISBN |
Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
Title | Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics PDF eBook |
Author | John P. Boyd |
Publisher | Springer |
Pages | 596 |
Release | 2011-09-23 |
Genre | Mathematics |
ISBN | 9781461558262 |
This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
Title | Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders PDF eBook |
Author | |
Publisher | |
Pages | 129 |
Release | 1995 |
Genre | Asymptotic expansions |
ISBN | 9781107103146 |
This work, first published in 1995, presents developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. By considering special exponential series arising in number theory, the authors derive the generalised Euler-Jacobi series, expressed in terms of hypergeometric series. Dingle's theory of terminants is then employed to show how the divergences in both dominant and subdominant series of a complete asymptotic expansion can be tamed. Numerical results are used to illustrate that a complete asymptotic expansion can be made to agree with exact results for the generalised Euler-Jacobi series to any desired degree of accuracy. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.
Asymptotics and Borel Summability
Title | Asymptotics and Borel Summability PDF eBook |
Author | Ovidiu Costin |
Publisher | CRC Press |
Pages | 266 |
Release | 2008-12-04 |
Genre | Mathematics |
ISBN | 1420070320 |
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