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OverviewCe livre a pour but de présenter les fondements théoriques et méthodologiques de l'analyse numérique. Une attention toute particulière est portée sur les concepts de stabilité, précision et complexité des algorithmes. Les méthodes modernes relatives aux thèmes suivants sont presentées et analysées en détail : résolution des systèmes lineaires et non linéaires, approximation polynomiale, optimisation, intégration numérique, polynômes orthogonaux, transformations rapides, équations différentielles ordinaires. Les techniques presentées sont illustrées par de nombreux tableaux et figures. Beaucoup d'exemples et de contre-exemples sont proposés pour permettre au lecteur de développer son sens critique. Une caractéristique principale du livre réside dans l'abondance des programmes MATLAB qui accompagnent toutes les méthodes numériques présentées et qui les illustrent par des applications concrètes. Le lecteur détient ainsi tous les outils pour acquérir de solides connaissances théoriques et les appliquer directement sur ordinateur. Cet ouvrage s'adresse aux étudiants du second cycle des universités, aux élèves des écoles d'ingénieurs et, plus généralement, à toutes les personnes qui pratiquent le calcul scientifique. Full Product DetailsAuthor: Alfio Quarteroni , Riccardo Sacco , Fausto SaleriPublisher: Springer Verlag Imprint: Springer Verlag Edition: 2007 ed. Dimensions: Width: 15.50cm , Height: 2.50cm , Length: 23.50cm Weight: 0.842kg ISBN: 9788847004955ISBN 10: 8847004950 Pages: 538 Publication Date: 26 February 2007 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. 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Language: French Table of ContentsNotions de base.- Elements d'analyse matricielle.- Les fondements du calcul scientifique.- Algebre lineaire numerique.- Methodes directes pour la resolution des systemes lineaires.- Methodes iteratives pour la resolution des systemes lineaires.- Approximation des valeurs propres et des vecteurs propres.- Sur les fonctions et les fonctionnelles.- Resolution des equations et des systemes non lineaires.- Interpolation polynomiale.- Integration numerique.- Transformations, derivations et discretisations.- Polynomes orthogonaux en theorie de l'approximation.- Resolution numerique des equations differentielles ordinaires.- Problemes aux limites en dimension un.- Problemes transitoires paraboliques et hyperboliques.- Applications.ReviewsFrom the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. ... The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. ... The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (R mi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. a ] The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. a ] The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (RA(c)mi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. ... The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. ... The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. ... The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. ... The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (R mi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. a ] The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. a ] The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (RA(c)mi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: <p> The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. a ] The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. a ] The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (RA(c)mi Vaillancourt, Mathematical Reviews, Issue 2008 f) From the reviews: The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. ... The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. ... The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (Remi Vaillancourt, Mathematical Reviews, Issue 2008 f) <p>From the reviews: <p><p> The authors present the theoretical and methodological foundations of numerical analysis, with special attention to stability, accuracy and complexity of algorithms. The reader will find several examples and MATLAB programs on all the numerical methods treated in the text. The level of the book is for advanced undergraduates and beginning graduates in science and engineering. (R mi Vaillancourt, Mathematical Reviews, Issue 2008 f) Author InformationTab Content 6Author Website:Countries AvailableAll regions |