| Titre : |
Applied asymptotic analysis |
| Type de document : |
texte imprimé |
| Auteurs : |
Peter, David MILLER |
| Editeur : |
Providence, R.I. : American Mathematical Society |
| Année de publication : |
2006 |
| Collection : |
Graduate studies in mathematics, ISSN 1065-7339 num. 75 |
| Importance : |
467 p. |
| ISBN/ISSN/EAN : |
978-0-8218-4078-8 |
| Note générale : |
Contents
Preface
Appendices
Bibliography
Index of names
Subject index |
| Catégories : |
Développements asymptotiques
Equations aux dérivées partielles
Equations différentielles:Théorie asymptotique
|
| Index. décimale : |
511.4 Approximations et développements en série |
| Résumé : |
FUNDAMENTALS
Themes of asymptotic, convergent and divergent asymptotic series
The nature of asymptotic approximations
ASYMPTOTIC ANALYSIS OF EXPONENTIAL INTEGRALS
Fundamental techniques for integrals
Laplace's method for asymptotic expansions of integrals
The method of steepest descents for asymptotic expansions of integrals
The method of stationary phase for asymptotic analysis of oscillatory integrals
ASYMPTOTIC ANALYSIS OF DIFFERENTIAL EQUATIONS
Asymptotic behavior of solutions of linear second-order differentiel equations in the complex plane
Introduction to asymptotics of solutions of ordinary differential equations with respect to parameters
Asymptotics of linear boundary-value problems
Asymptotics of oscillatory phenomena
Weakly nonlinear waves |
