Theoretical numerical analysis : a functional analysis framework
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic re...
שמור ב:
| Auteurs principaux: | , , |
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| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| מהדורה: | 3. |
| סדרה: | Texts in Applied Mathematics
39 |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Description d'après consultation du 09 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Theoretical numerical analysis, a functional analysis framework, Kendall Atkinson, Weimin Han, 3rd edition, Dordrecht, Springer, 2009, 1 vol. (xvi- 625 p.), Texts in applied mathematics, 978-1-441-90457-7 • Theoretical Numerical Analysis, Texte imprimé, 9781441904591 • Theoretical numerical analysis, a functional analysis framework, Kendall Atkinson, Weimin Han, 3rd edition, Dordrecht, Springer, 2009, 1 vol. (xvi- 625 p.), Texts in applied mathematics, 978-1-441-90457-7 • Theoretical numerical analysis, a functional analysis framework, Kendall Atkinson, Weimin Han, 3rd edition, Dordrecht, Springer, 2009, 1 vol. (xvi- 625 p.), Texts in applied mathematics, 978-1-441-90457-7 |
| סיכום: | This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, boundary integral equations for planar regions, and multivariable polynomial approximations. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. In this third edition, a new chapter, Multivariable Polynomial Approximations, is included, numerous changes are made throughout the entire text, and new exercises are added. Review of earlier edition: "...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references." R. Glowinski, SIAM Review, 2003. |
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| תאור פריט: | Description d'après consultation du 09 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ביבליוגרפיה: | Bibliogr. Index |
| ISBN: | 9781441904584 |
| ISSN: | 2196-9949 |
| גישה: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |