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© 2014

Scientific Computing with MATLAB and Octave

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

  • Includes 100 examples, 145 solved exercises and 43 Matlab and Octave programs

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

Textbook

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

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 1-40
  3. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 41-76
  4. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 77-111
  5. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 113-136
  6. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 137-191
  7. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 193-211
  8. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 213-269
  9. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 271-328
  10. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 329-376
  11. Alfio Quarteroni, Fausto Saleri, Paola Gervasio
    Pages 377-428
  12. Back Matter
    Pages 429-450

About this book

Introduction

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, the extrema, and 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.

From the review:

".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style 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." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002

Keywords

Matlab programming Octave programming numerical mathematics scientific computing

Authors and affiliations

  1. 1.MATHICSE-CMCSEcole Polytechnique Fédérale de LausanneLausanneSwitzerland
  2. 2.Politecnico di Milano MOXMilanoItaly
  3. 3.DICATAMUniversità degli Studi di BresciaBresciaItaly

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

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