Numerical models for differential problems
In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation l...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Milano :
Springer Milan
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2009. |
| Schriftenreihe: | MS&A, Modeling, Simulation and Applications
2 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Description d'apès consultation du 26 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Numerical Models for Differential Problems, Texte imprimé, 9788847013254 • Numerical models for differential problems, Alfio Quarteroni, 4th edition, Milan, Springer, 2009, 1 vol. (XVI-601 p.), MS&A, Modeling, Simulation and Applications, 978-88-470-1070-3 |
Inhaltsangabe:
- A brief survey on partial differential equations Elements of functional analysis Elliptic equations The Galerkin finite element method for elliptic problems Parabolic equations Generation of 1D and 2D grids Algorithms for the solution of linear systems Elements of finite element programming The finite volume method Spectral methods Diffusion-transport-reaction equations Finite differences for hyperbolic equations Finite elements and spectral methods for hyperbolic equations Nonlinear hyperbolic problems Navier-Stokes equations Optimal control of partial differential equations Domain decomposition methods Reduced basis approximation for parametrized partial differential equations.