Titre : | Computational mathematics : models , methods ,and analysis with matlab and MPI | Type de document : | texte imprimé | Auteurs : | White , Robert E, 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 : | 978-1-584-88364-7 | Note générale : | Bibliogr. p. 379-380. Index | Langues : | Anglais (eng) | Mots-clés : | Mathématique Modèles Méthodes Analyse Matlab MPI | Index. décimale : | 519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. | Résumé : | Computational science supplements the traditional laboratory and theoretical methods of scientific investigation by providing mathematical models whose solutions can be approximated by computer simulations. By adjusting a model and running more simulations, we gain insight into the application under investigation.
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.
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.
Introduces the concepts and techniques at the core of computational science
.Takes a learn-by-doing approach, providing a wealth of MATLAB, FORTRAN, and C++ code both within the book.
.Presents many of the most current numerical methods including the Schur complement, domain decomposition, and conjugate gradient methods
.Explores a range of applications, from heat diffusion and fluid flow to epidemics, option contracts, and image restoration | Note de contenu : | Contents
*Introduction
*Discrete time-space models
*Steady state discrete models
*Poisson equation models
*Nonlinear and 3d models
*Epidemics, images and money
*High performance computing
*Message passing interface
*Classical methods for Ax = D
*Krylov methods for Ax = D |
Computational mathematics : models , methods ,and analysis with matlab and MPI [texte imprimé] / White , Robert E, Auteur . - Boca Raton (Etats-Unis) : Chapman & Hall / CRC, 2004 . - XVI-385 p. : ill. ; 25 cm. ISBN : 978-1-584-88364-7 Bibliogr. p. 379-380. Index Langues : Anglais ( eng) Mots-clés : | Mathématique Modèles Méthodes Analyse Matlab MPI | Index. décimale : | 519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. | Résumé : | Computational science supplements the traditional laboratory and theoretical methods of scientific investigation by providing mathematical models whose solutions can be approximated by computer simulations. By adjusting a model and running more simulations, we gain insight into the application under investigation.
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.
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.
Introduces the concepts and techniques at the core of computational science
.Takes a learn-by-doing approach, providing a wealth of MATLAB, FORTRAN, and C++ code both within the book.
.Presents many of the most current numerical methods including the Schur complement, domain decomposition, and conjugate gradient methods
.Explores a range of applications, from heat diffusion and fluid flow to epidemics, option contracts, and image restoration | Note de contenu : | Contents
*Introduction
*Discrete time-space models
*Steady state discrete models
*Poisson equation models
*Nonlinear and 3d models
*Epidemics, images and money
*High performance computing
*Message passing interface
*Classical methods for Ax = D
*Krylov methods for Ax = D |
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