Scientific Computing with MATLAB and Octave – A. Quarteroni – 2nd Edition

Description

This textbook is an introduction to , in which several numerical 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 and construct accurate approximations for the solution of ordinary and partial .

To make the presentation concrete and appealing, the programming environments and Octave are adopted as faithful companions. The book contains the solution to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, specific section is devoted to subjects which were not addressed in the book and contains the bibliographical references for a more comprehensive treatment of the material.

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Table of Contents

1. What can' t be ignored.
2. Nonlinear equations.
3. Approximation of functions and data.
4. Numerical differentiation and integration.
5. Linear systems.
6. Eigenvalues and eigenvectors.
7. Ordinary differential equations.
8. Numerical approximation of boundary-value problems.
9. Solutions of the exercises.
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