Titre : |
Scientific computing with MATLAB |
Type de document : |
texte imprimé |
Auteurs : |
Alfio Quarteroni, Auteur ; Fausto Saleri, Auteur |
Editeur : |
Berlin ; London ; Cham : Springer |
Année de publication : |
2003 |
Collection : |
Texts in computational science and engineering num. 2 |
Importance : |
IX-257 p. |
Présentation : |
ill. |
Format : |
25 cm |
ISBN/ISSN/EAN : |
978-3-540-44363-6 |
Note générale : |
Bibliogr. p. [245]-248. Index |
Langues : |
Anglais (eng) |
Mots-clés : |
Analyse numérique
MATLAB (logiciel) |
Index. décimale : |
681.3.06 Logiciels. Software |
Résumé : |
This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations. To make the presentation concrete and appealing, the programming environment Matlab is adopted as a faithful companion. All the algorithms introduced throughout the book are shown, thus furnishing an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. The book also contains the solution to several problems raised through exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and indicate the bibliographical references for a more comprehensive treatment of the material. |
Note de contenu : |
* What can't be ignored.
* Nonlinear equations.
* Approximation of functions and data.
* Numerical differentiation and integration.
* Linear systems.
* Eigenvalues and eigenvectors.
* Ordinary differential equations.
* Numerical methods for boundary-value problems.
* Solutions of the exercises. |
Scientific computing with MATLAB [texte imprimé] / Alfio Quarteroni, Auteur ; Fausto Saleri, Auteur . - Berlin ; London ; Cham : Springer, 2003 . - IX-257 p. : ill. ; 25 cm. - ( Texts in computational science and engineering; 2) . ISBN : 978-3-540-44363-6 Bibliogr. p. [245]-248. Index Langues : Anglais ( eng)
Mots-clés : |
Analyse numérique
MATLAB (logiciel) |
Index. décimale : |
681.3.06 Logiciels. Software |
Résumé : |
This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations. To make the presentation concrete and appealing, the programming environment Matlab is adopted as a faithful companion. All the algorithms introduced throughout the book are shown, thus furnishing an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. The book also contains the solution to several problems raised through exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and indicate the bibliographical references for a more comprehensive treatment of the material. |
Note de contenu : |
* What can't be ignored.
* Nonlinear equations.
* Approximation of functions and data.
* Numerical differentiation and integration.
* Linear systems.
* Eigenvalues and eigenvectors.
* Ordinary differential equations.
* Numerical methods for boundary-value problems.
* Solutions of the exercises. |
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