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  • Textbook
  • © 2010

Scientific Computing with MATLAB and Octave

  • Offers a combination of problems, algorithms, programs, exercises, illustrations and numerical solutions

  • Includes some 70 examples, 120 solved exercises and 35 Matlab and Octave programs

  • Each chapter opens with representative problems and continues with construction and analysis of algorithms, ad-hoc programs for their implementation

  • Includes supplementary material: sn.pub/extras

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

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eBook USD 54.99
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  • ISBN: 978-3-642-12430-3
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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XVI
  2. What can’t be ignored

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 1-40
  3. Nonlinear equations

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 41-74
  4. Approximation of functions and data

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 75-106
  5. Numerical differentiation and integration

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 107-128
  6. Linear systems

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 129-179
  7. Eigenvalues and eigenvectors

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 181-199
  8. Ordinary differential equations

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 201-254
  9. Numerical approximation of boundary-value problems

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 255-302
  10. Solutions of the exercises

    • Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 303-345
  11. Back Matter

    Pages 347-366

About this book

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based 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 using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material.

Keywords

  • GNU Octave
  • MATLAB
  • Mathematica
  • Matlab programming
  • Octave programming
  • numerical mathematics
  • numerical methods
  • programming
  • scientific computing

Reviews

From the reviews of the third edition:

“This carefully written textbook is the third English edition and contains substantial new developments on the numerical solution of differential equations. … it is written in a style that is suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject.” (Robert Plato, Zentralblatt MATH, Vol. 1205, 2011)

Authors and Affiliations

  • Chaire de Modelisation et, Calcul Scientifique (CMCS), École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Alfio Quarteroni

  • MOX, Politecnico di Milano, Milano, Italy

    Fausto Saleri

  • , Department of Mathematics, University of Brescia, Brescia, Italy

    Paola Gervasio

About the authors

Alfio Quarteroni is Professor and Director of MATHICSE at EPFL, Lausanne (Switzerland), and Professor and Director of MOX at the Politecnico di Milano (Italy). Author of 20 books (mostly published with Springer), and of more than 200 papers, he is actually one of the strongest and reliable mathematicians in the world in the field of Modelling and SC. Fausto Saleri was Professor of Numerical Analysis at Politecnico di Milano (Italy) until 2007. Author of 11 books published with Springer, he worked on the approximation of partial differential equations, giving important contributions to the study of shallow water equations and to the development of scientific software libraries for finite elements. Paola Gervasio is Associate Professor of Numerical Analysis at University of Brescia (Italy) since 2005. Her research work focuses on the approximation of partial differential equations by spectral methods and domain decomposition techniques.

Bibliographic Information

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • ISBN: 978-3-642-12430-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout