Scientific Computing with MATLAB and Octave / Edition 3

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Overview

Preface to the First Edition This textbook is an introduction to Scientific Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will 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 difierential equations. With this aim, in Chapter 1 we will illustrate the rules of the game that computers adopt when storing and operating with real and complex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raised through exercises and examples, often stemming from specific applications.

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Editorial Reviews

From the Publisher
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)

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Product Details

  • ISBN-13: 9783642124297
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 9/17/2010
  • Series: Texts in Computational Science and Engineering Series, #2
  • Edition description: 3rd ed. 2010
  • Edition number: 3
  • Pages: 360
  • Sales rank: 927,448
  • Product dimensions: 6.20 (w) x 9.40 (h) x 0.80 (d)

Meet the Author

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.

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Table of Contents

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 approximation of boundary-value problems.- Solutions of the exercises.

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