| Titre : |
Computational mathematics : models , methods ,and analysis with matlab and MPI |
| Type de document : |
texte imprimé |
| Auteurs : |
Robert Ernest White, Auteur |
| Editeur : |
Boca Raton [Etats-Unis] : Chapman & Hall / CRC |
| Année de publication : |
2004 |
| Importance : |
XVI, 385 p. |
| Présentation : |
ill. |
| Format : |
25 cm |
| ISBN/ISSN/EAN : |
978-1-58488-364-7 |
| Note générale : |
Bibliogr. p. 379-380. - Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Differential equations, Partial
Computational complexity
MATLAB
Numerical analysis
Computer interfaces
Parallel programming (Computer science) |
| Index. décimale : |
519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. |
| Résumé : |
Focuses on multiprocessing algorithms that are implemented using message passing interface (MPI). This title includes Fortran 9x codes that illustrate the basic MPI subroutines. It is suitable for those who need to make numerical modeling and simulation integral parts of their investigational toolbox.
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white.
This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox. |
| Note de contenu : |
Summary :
1. Introduction
2. Discrete time-space models
3. Steady state discrete models
4. Poisson equation models
5. Nonlinear and 3d models
6. Epidemics, images and money
7. High performance computing
8. Message passing interface
9. Classical methods for Ax = D
10. Krylov methods for Ax = D |
Computational mathematics : models , methods ,and analysis with matlab and MPI [texte imprimé] / Robert Ernest White, Auteur . - Boca Raton [Etats-Unis] : Chapman & Hall / CRC, 2004 . - XVI, 385 p. : ill. ; 25 cm. ISBN : 978-1-58488-364-7 Bibliogr. p. 379-380. - Index Langues : Anglais ( eng)
| Mots-clés : |
Differential equations, Partial
Computational complexity
MATLAB
Numerical analysis
Computer interfaces
Parallel programming (Computer science) |
| Index. décimale : |
519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. |
| Résumé : |
Focuses on multiprocessing algorithms that are implemented using message passing interface (MPI). This title includes Fortran 9x codes that illustrate the basic MPI subroutines. It is suitable for those who need to make numerical modeling and simulation integral parts of their investigational toolbox.
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white.
This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox. |
| Note de contenu : |
Summary :
1. Introduction
2. Discrete time-space models
3. Steady state discrete models
4. Poisson equation models
5. Nonlinear and 3d models
6. Epidemics, images and money
7. High performance computing
8. Message passing interface
9. Classical methods for Ax = D
10. Krylov methods for Ax = D |
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