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© 2006

Scientific Computing with MATLAB and Octave

Second Edition

Textbook

Part of the Texts in Computational Science and Engineering book series (TCSE, volume 2)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Alfio Quarteroni, Fausto Saleri
    Pages 1-38
  3. Alfio Quarteroni, Fausto Saleri
    Pages 39-69
  4. Alfio Quarteroni, Fausto Saleri
    Pages 71-99
  5. Alfio Quarteroni, Fausto Saleri
    Pages 101-122
  6. Alfio Quarteroni, Fausto Saleri
    Pages 123-166
  7. Alfio Quarteroni, Fausto Saleri
    Pages 167-185
  8. Alfio Quarteroni, Fausto Saleri
    Pages 187-236
  9. Alfio Quarteroni, Fausto Saleri
    Pages 237-265
  10. Alfio Quarteroni, Fausto Saleri
    Pages 267-305
  11. Back Matter
    Pages 307-324

About this book

Introduction

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, which is freely distributed, are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from specific applications. A 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. The second edition features many new problems and examples, as well as more numerical methods for linear and nonlinear systems and ordinary and partial differential equations.

Keywords

MATLAB computer computer-aided design (CAD) learning modeling numerical methods programming scientific computing

Authors and affiliations

  1. 1.Ecole Polytechnique Fédérale de LausanneCMCS-Modeling and Scientific ComputingLausanneSwitzerland
  2. 2.MOX-Politecnico di MilanoMilanoItaly
  3. 3.MOX-Politecnico di MilanoMilanoItaly

Bibliographic information

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Reviews

From the reviews:

" ... Scientific Computing with MATLAB is written in a clear and concise style, figures, tables and formula boxes complement the explanations... The whole book is an invitation, if not a request, of the authors to the reader to play with MATLAB, apply its powerful menagerie of functions to solve the given (or own) problems - in brief, supervised learning by doing .... is a stimulating introductory textbook about numerical methods that successfully combines mathematical theory with programming experience..." Anselm A.C. Horn, Journal of Molecular Modeling 2004

"... An excellent addition to academic libraries and university bookstores, this book will be useful for self-study and as a complement to other MATLAB-based books. Highly recommended. Upper-division undergraduates through professionals." S.T. Karris, Choice 2003

From the reviews of the second edition:

"The authors present … details about the MATLAB and Octave environments, with information about how the two products can be acquired. … readers will find a useful set of about 60 references to books and articles about numerical methods and algorithms. … If you work on a daily basis with things like Fourier transformations … and Chebyshev interpolations, then you’ll find this book invaluable. If, like me, you are required to support people who work with those things, you’ll need this book … ." (G. K. Jenkins, ACM Computing Reviews, Vol. 49 (12), December, 2008)