Asymptotic Expansions: Their Derivation and Interpretation
Author | : Robert B. Dingle |
Publisher | : |
Total Pages | : 556 |
Release | : 1973 |
Genre | : Mathematics |
ISBN | : |
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Author | : Robert B. Dingle |
Publisher | : |
Total Pages | : 556 |
Release | : 1973 |
Genre | : Mathematics |
ISBN | : |
Author | : R. B. Dingle |
Publisher | : |
Total Pages | : 521 |
Release | : 1971 |
Genre | : Asymptotic expansions |
ISBN | : |
Author | : Wolfgang Wasow |
Publisher | : Courier Dover Publications |
Total Pages | : 385 |
Release | : 2018-03-21 |
Genre | : Mathematics |
ISBN | : 0486824586 |
This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.
Author | : E. T. Copson |
Publisher | : Cambridge University Press |
Total Pages | : 136 |
Release | : 2004-06-03 |
Genre | : Mathematics |
ISBN | : 9780521604826 |
Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.
Author | : |
Publisher | : Elsevier |
Total Pages | : 153 |
Release | : 2011-08-26 |
Genre | : Mathematics |
ISBN | : 0080871178 |
Matched Asymptotic Expansions and Singular Perturbations
Author | : Norman Bleistein |
Publisher | : Courier Corporation |
Total Pages | : 453 |
Release | : 1986-01-01 |
Genre | : Mathematics |
ISBN | : 0486650820 |
Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.
Author | : Ovidiu Costin |
Publisher | : CRC Press |
Total 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
Author | : Augustin Fruchard |
Publisher | : Springer |
Total Pages | : 169 |
Release | : 2012-12-15 |
Genre | : Mathematics |
ISBN | : 3642340350 |
The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, a Gevrey version of CAsEs is available and detailed in the lecture notes. Three problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second application concerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-O’Malley resonance problem is solved.
Author | : Johannes Gualtherus Corput |
Publisher | : |
Total Pages | : 518 |
Release | : 1951 |
Genre | : Asymptotic expansions |
ISBN | : |