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...
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| Autori principali: | , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edizione: | 2nd ed. 2005. |
| Serie: | Texts in Applied Mathematics
39 |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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, Texte imprimé, 9780387507224 • Theoretical numerical analysis, a functional analysis framework, with 36 illustrations, Kendall Atkinson, Weimin Han, 2nd edition, New York (N.Y.), Springer, 2005, 1 vol. (XVIII-576 p.), Texts in applied mathematics, 978-0387-25887-4 |
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| 100 | 1 | |a Atkinson, Kendall, |d 1940- | |
| 245 | 1 | 0 | |a Theoretical Numerical Analysis : |b A Functional Analysis Framework |c by Kendall Atkinson, Weimin Han. |
| 250 | |a 2nd ed. 2005. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Texts in Applied Mathematics |v 39 |x 2196-9949 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Linear Spaces Linear Operators on Normed Spaces Approximation Theory Fourier Analysis and Wavelets Nonlinear Equations and Their Solution by Iteration Finite Difference Method Sobolev Spaces Variational Formulations of Elliptic Boundary Value Problems The Galerkin Method and Its Variants Finite Element Analysis Elliptic Variational Inequalities and Their Numerical Approximations Numerical Solution of Fredholm Integral Equations of the Second Kind Boundary Integral Equations. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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, and boundary integral equations for planar regions. 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 new edition many sections from the first edition have been revised to varying degrees as well as over 140 new exercises added. A new chapter on Fourier Analysis and wavelets has been included. 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. | ||
| 700 | 1 | |a Han, Weimin, |d 1963-...., |c mathématicien. |4 aut | |
| 776 | 0 | |t Theoretical Numerical Analysis |b Texte imprimé |z 9780387507224 | |
| 776 | 0 | |0 098985965 |t Theoretical numerical analysis |o a functional analysis framework |o with 36 illustrations |f Kendall Atkinson, Weimin Han |e 2nd edition |c New York (N.Y.) |n Springer |d 2005 |p 1 vol. (XVIII-576 p.) |s Texts in applied mathematics |z 978-0387-25887-4 | |
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