Asymptotics beyond All Orders

Asymptotics beyond All Orders

Author: Harvey Segur

Publisher: Springer

ISBN: 1475704372

Category: Science

Page: 408

View: 353

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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,
Asymptotics beyond All Orders
Language: en
Pages: 408
Authors: Harvey Segur, Saleh Tanveer, Herbert J. Levine
Categories: Science
Type: BOOK - Published: 2012-06-02 - Publisher: Springer

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
Language: en
Pages: 146
Authors: Vic Kowalenko, N. E. Frankel, L. Glasser, T. Taucher
Categories: Mathematics
Type: BOOK - Published: 1995-09-14 - Publisher: Cambridge University Press

This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.
Asymptotics beyond All Orders
Language: en
Pages: 408
Authors: Harvey Segur, Saleh Tanveer, Herbert J. Levine
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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,
Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
Language: en
Pages: 596
Authors: John P. Boyd
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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.
Hamiltonian Systems with Three or More Degrees of Freedom
Language: en
Pages: 690
Authors: Carles Simó
Categories: Mathematics
Type: BOOK - Published: 1999-06-30 - Publisher: Springer Science & Business Media

A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of the applications are non-integrable. Hence methods to prove non-integrability results are presented and the different meaning attributed to non-integrability are discussed. For systems near an