Texts in Computational Science and Engineering

Scientific Computing with MATLAB and Octave

Authors: Quarteroni, Alfio, Saleri, Fausto, Gervasio, Paola

  • 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
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Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-12430-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this Textbook

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.

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.

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)

Table of contents (9 chapters)

  • What can’t be ignored

    Quarteroni, Alfio (et al.)

    Pages 1-40

  • Nonlinear equations

    Quarteroni, Alfio (et al.)

    Pages 41-74

  • Approximation of functions and data

    Quarteroni, Alfio (et al.)

    Pages 75-106

  • Numerical differentiation and integration

    Quarteroni, Alfio (et al.)

    Pages 107-128

  • Linear systems

    Quarteroni, Alfio (et al.)

    Pages 129-179

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-12430-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Scientific Computing with MATLAB and Octave
Authors
Series Title
Texts in Computational Science and Engineering
Series Volume
2
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-12430-3
DOI
10.1007/978-3-642-12430-3
Series ISSN
1611-0994
Edition Number
3
Number of Pages
XVI, 366
Number of Illustrations and Tables
117 b/w illustrations
Additional Information
Original Italian edition published by Springer-Verlag, Italia, 2006
Topics