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 ordinary and partial differential equations.
To make the presentation concrete and appealing, the programming environments Matlab 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.
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.
Alfio Quarteroni / Fausto Saleri/ Paola Gervasio
3642124305 | 9783642124303