Quarteroni / Saleri Scientific Computing with MATLAB and Octave

2. Auflage 2006
ISBN: 978-3-540-32613-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 334 Seiten, Web PDF

Reihe: Texts in Computational Science and Engineering

This textbook is an introduction to Scientific Computing, illustrating several numerical methods for the computer solution of certain classes of mathematical problems. 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 book adopts Matlab and the freeware Octave, as faithful companions throughout. The book includes complete solutions to several problems - often originating from specific applications - posed in exercises and examples. A new section is devoted to subjects which were not addressed in the first edition and contains the bibliographical references for a more comprehensive treatment of the material. The second edition features many new problems and examples, as well as additional numerical methods for linear and nonlinear systems, and ordinary and partial differential equations.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Quarteroni, Alfio

Saleri, Fausto

Inhaltsverzeichnis

What can’t be ignored.- Nonlinear equations.- Approximation of functions and data.- Numerical differentiation and integration.- Linear systems.- Eigenvalues and eigenvectors.- Ordinary differential equations.- Numerical methods for (initial-)boundary-value problems.- Solutions of the exercises.