Scientific Computing with MATLAB (Texts in Computational Science and Engineering Series)c / Edition 2

Scientific Computing with MATLAB (Texts in Computational Science and Engineering Series)c / Edition 2

by Alfio Quarteroni, Fausto Saleri
     
 

ISBN-10: 3540443630

ISBN-13: 9783540443636

Pub. Date: 08/27/2003

Publisher: Springer-Verlag New York, LLC

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…  See more details below

Overview

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.

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Product Details

ISBN-13:
9783540443636
Publisher:
Springer-Verlag New York, LLC
Publication date:
08/27/2003
Series:
Texts in Computational Science and Engineering Series
Edition description:
Second Edition
Pages:
257
Product dimensions:
6.30(w) x 9.64(h) x 0.82(d)

Related Subjects

Table of Contents

1What can't be ignored1
2Nonlinear equations37
3Approximation of functions and data57
4Numerical differentiation and integration83
5Linear systems103
6Eigenvalues and eigenvectors137
7Ordinary differential equations153
8Numerical methods for boundary-value problems187
9Solutions of the exercises207
Bibliography245
Index of MATLAB Programs249
Index251

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