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Englisch
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Beschreibung
This extremely popular textbook on numerical analysis provides the mathematical foundations of numerical methods. It demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. In this second edition, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been added. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. The attention to applications and software development makes it valuable also for users in a wide variety of professional fields.
This extremely popular textbook on numerical analysis provides the mathematical foundations of numerical methods. It demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. In this second edition, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been added. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. The attention to applications and software development makes it valuable also for users in a wide variety of professional fields.
Über den Autor
The authors are among the leading researchers in the field of computational fluid dynamics and have pioneered and promoted the "Spectral Methods in Fluid Dynamics".
Zusammenfassung
This extremely popular textbook on numerical analysis provides the mathematical foundations of numerical methods. It demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. In this second edition, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been added. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. The attention to applications and software development makes it valuable also for users in a wide variety of professional fields.
Inhaltsverzeichnis
Series Preface.- Preface.- I Getting Started.- 1. Foundations of Matrix Analysis.- 2 Principles of Numerical Mathematics.- II Numerical Linear Algebra.- 3 Direct Methods for the Solution of Linear Systems.- 4 Iterative Methods for Solving Linear Systems.- 5 Approximation of Eigenvalues and Eigenvectors.- III Around Functions and Functionals.- 6 Rootfinding for Nonlinear Equations.- 7 Nonlinear Systems and Numerical Optimization.- 8 Polynomial Interpolation.- 9 Numerical Integration.- IV Transforms, Differentiation and Problem Discretization.- 10 Orthogonal Polynomials in Approximation Theory.- 11 Numerical Solution of Ordinary Differential Equations.- 12 Two-Point Boundary Value Problems.- 13 Parabolic and Hyperbolic Initial Boundary Value Problems.- References.- Index of MATLAB Programs.- Index.
Details
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Texts in Applied Mathematics |
| Inhalt: |
xviii
657 S. 135 s/w Illustr. 657 p. 135 illus. |
| ISBN-13: | 9783642071010 |
| ISBN-10: | 3642071015 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Quarteroni, Alfio
Sacco, Riccardo Saleri, Fausto |
| Auflage: | Softcover reprint of hardcover 2nd edition 2007 |
| Hersteller: |
Springer
Springer-Verlag GmbH Texts in Applied Mathematics |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 37 mm |
| Von/Mit: | Alfio Quarteroni (u. a.) |
| Erscheinungsdatum: | 30.11.2010 |
| Gewicht: | 1,007 kg |