An Introduction to Scientific Computing
Twelve Computational Projects Solved with MATLAB
Ionut Danaila, Pascal Joly, Sidi Mahmoud Kaber, Marie Postel
Résumé
This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts. The mathematical framework provides a basic foundation in the subject of numerical analysis of partial differential equations and main discretization techniques, such as finite differences, finite elements, spectral methods and wavelets).
The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicing engineers.
Written for: Graduate applied mathematics, engineering, and physical science students
L'auteur - Ionut Danaila
Ionut Danaila est maître de conférences à l'Université Paris 6 Pierre-et-Marie-Curie.
Autres livres de Ionut Danaila
L'auteur - Pascal Joly
Pascal Joly est ingénieur de recherche au CNRS.
Autres livres de Pascal Joly
L'auteur - Sidi Mahmoud Kaber
Sidi Mahmoud Kaber est maître de conférences à l'Université Paris 6 Pierre-et-Marie-Curie.
Autres livres de Sidi Mahmoud Kaber
L'auteur - Marie Postel
Marie Postel est maître de conférences à l'Université Paris 6 Pierre-et-Marie-Curie.
Autres livres de Marie Postel
Sommaire
- Numerical Approximation of Model Partial Differential Equations
- Nonlinear Differential Equations: Application to Chemical Kinetics
- Polynomial Approximation
- Solving an Advection-Diffusion Equation by A Finite Element Method
- Solving A Differential Equation by A Spectral Method
- Signal Processing: Multiresolution Analysis
- Elasticity: Elastic Deformation of A Thin Plate
- Domain Decomposition Using A Schwarz Method
- Geometrical Design: Bezier Curves and Surfaces
- Gas Dynamics: Riemann Problem and Discontinuous Solutions: Application to The Shock Tube Problem
- Thermal Engineering: Optimization of an Industrial Furnace
- Fluid Dynamics: Solving the Two-Dimensional Navier-Stokes Equations
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Ionut Danaila, Pascal Joly, Sidi Mahmoud Kaber, Marie Postel |
| Parution | 08/01/2007 |
| Nb. de pages | 300 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 570g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780387308890 |
| ISBN13 | 978-0-387-30889-0 |
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