Spectral methods : fundamentals in single somains
Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and prac...
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| Auteurs principaux: | , , , |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Springer e-books
[20..].
Cham : Springer Nature |
| Serija: | Scientific Computation
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| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Autre(s) auteur(s) : Thomas A. Zang. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spectral methods, fundamentals in single domains, C. Canuto, A. Quarteroni, M.Y. Hussaini... [et al.], 2006, Berlin, Springer, 1 vol. (XXII - 563 p.), Scientific computation, 3-540-30725-7 |
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| 041 | 0 | |a eng | |
| 082 | |a 530.1 | ||
| 100 | 1 | |a Canuto, Claudio, |d 1952- | |
| 245 | 1 | 0 | |a Spectral methods : |b fundamentals in single somains |c by Claudio Canuto, M. Youssuff Hussaini, Alfio Quarteroni. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Scientific Computation | |
| 500 | |a Autre(s) auteur(s) : Thomas A. Zang. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Polynomial Approximation Basic Approaches to Constructing Spectral Methods Algebraic Systems and Solution Techniques Polynomial Approximation Theory Theory of Stability and Convergence Analysis of Model Boundary-Value Problems Erratum | |
| 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 Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988. The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative methods. The second half furnishes a comprehensive discussion of the mathematical theory of spectral methods on single domains, including approximation theory, stability and convergence, and illustrative applications of the theory to model boundary-value problems. Both the algorithmic and theoretical discussions cover spectral methods on tensor-product domains, triangles and tetrahedra. All chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is greatly expanded as are the set of numerical examples that illustrate the key properties of the various types of spectral approximations and the solution algorithms. A companion book "Evolution to Complex Geometries and Applications to Fluid Dynamics" contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries and provides detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries | ||
| 650 | |a Théorie spectrale (mathématiques) | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Équations aux dérivées partielles |x Solutions numériques | ||
| 700 | 1 | |a Quarteroni, Alfio, |d 1952-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Hussaini, Mohammed Yousuff, |d 1941- |4 aut | |
| 700 | 1 | |a Zang, Thomas A. |4 aut | |
| 776 | 0 | |0 103924442 |t Spectral methods |o fundamentals in single domains |f C. Canuto, A. Quarteroni, M.Y. Hussaini... [et al.] |d 2006 |c Berlin |n Springer |p 1 vol. (XXII - 563 p.) |s Scientific computation |z 3-540-30725-7 | |
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| 997 | |0 938433 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||