| Titre : |
Theoretical numerical analysis : a functional analysis framework |
| Type de document : |
texte imprimé |
| Auteurs : |
Kendall Atkinson, Auteur ; Weimin Han, Auteur |
| Mention d'édition : |
2nd ed |
| Editeur : |
Berlin ; London ; Cham : Springer |
| Année de publication : |
2005 |
| Collection : |
Texts in applied mathematics num. 39 |
| Importance : |
XVIII-576 p. |
| Présentation : |
ill. |
| Format : |
25 cm |
| ISBN/ISSN/EAN : |
978-0-387-25887-4 |
| Note générale : |
Bibliogr. p. [555]-567. Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Analyse fonctionnelle |
| Index. décimale : |
519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. |
| Résumé : |
This book gives an introduction to functional analysis for graduate students pursuing research involving numerical analysis. The text covers basic results of functional analysis as well as additional topics needed in theoretical numerical analysis. Applications of functional analysis are given by considering numerical methods for solving partial differential equations and integral equations. Extensive exercises are included at the end of each section along with recommendations for additional reading. This book is especially suited to students interested in the numerical solution of differential and/or integral equations, but it will also appeal to numerical analysts and mathematically-oriented students and researchers in engineering, physics, and related areas. --Ce texte fait référence à une édition épuisée ou non disponible de ce titre. |
| Note de contenu : |
Table des matières
1. Linear Spaces.
2. Linear Operators on Normed Spaces.
3. Approximation Theory.
4. Nonlinear Equations and Their Solution by Iteration.
5. Finite Difference Method.
6. Sobolev Spaces.
... |
Theoretical numerical analysis : a functional analysis framework [texte imprimé] / Kendall Atkinson, Auteur ; Weimin Han, Auteur . - 2nd ed . - Berlin ; London ; Cham : Springer, 2005 . - XVIII-576 p. : ill. ; 25 cm. - ( Texts in applied mathematics; 39) . ISBN : 978-0-387-25887-4 Bibliogr. p. [555]-567. Index Langues : Anglais ( eng)
| Mots-clés : |
Analyse fonctionnelle |
| Index. décimale : |
519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. |
| Résumé : |
This book gives an introduction to functional analysis for graduate students pursuing research involving numerical analysis. The text covers basic results of functional analysis as well as additional topics needed in theoretical numerical analysis. Applications of functional analysis are given by considering numerical methods for solving partial differential equations and integral equations. Extensive exercises are included at the end of each section along with recommendations for additional reading. This book is especially suited to students interested in the numerical solution of differential and/or integral equations, but it will also appeal to numerical analysts and mathematically-oriented students and researchers in engineering, physics, and related areas. --Ce texte fait référence à une édition épuisée ou non disponible de ce titre. |
| Note de contenu : |
Table des matières
1. Linear Spaces.
2. Linear Operators on Normed Spaces.
3. Approximation Theory.
4. Nonlinear Equations and Their Solution by Iteration.
5. Finite Difference Method.
6. Sobolev Spaces.
... |
|  |
Theoretical numerical analysis (2005)
