Skip to main content
SpringerLink
Log in
Book cover

Scientific Computing with MATLAB

  • Textbook
  • © 2004

Overview

Authors:
  1. Alfio Quarteroni

    1. Ecole Polytechnique Fédérale de Lausanne 1015 Lausanne, Switzerland
      Politecnico de Milano, Milano, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Fausto Saleri

    1. Politecnico de Milano, Milano, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Easy introduction to scientific computing
  • Very suitable for the scientific computing part of the everywhere growing CSE courses
  • Eminently suitable for physicists, chemists, engineers and other scientists who have to upgrade their knowledge on numerical methods
  • Includes supplementary material: sn.pub/extras

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (9 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. What can’t be ignored

    • Alfio Quarteroni, Fausto Saleri
    Pages 1-35

  3. Nonlinear equations

    • Alfio Quarteroni, Fausto Saleri
    Pages 37-55

  4. Approximation of functions and data

    • Alfio Quarteroni, Fausto Saleri
    Pages 57-82

  5. Numerical differentiation and integration

    • Alfio Quarteroni, Fausto Saleri
    Pages 83-102

  6. Linear systems

    • Alfio Quarteroni, Fausto Saleri
    Pages 103-136

  7. Eigenvalues and eigenvectors

    • Alfio Quarteroni, Fausto Saleri
    Pages 137-152

  8. Ordinary differential equations

    • Alfio Quarteroni, Fausto Saleri
    Pages 153-186

  9. Numerical methods for boundary-value problems

    • Alfio Quarteroni, Fausto Saleri
    Pages 187-206

  10. Solutions of the exercises

    • Alfio Quarteroni, Fausto Saleri
    Pages 207-244

  11. Back Matter

    Pages 245-257
    Download chapter PDF
Back to top

Keywords

About this book

"It is important to prove, is more but it important to improve." This textbook is an introduction to Scientific Computing. We will illustrate several numerical methods for the computer solution of cer­ 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 differential 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 adopt the programming environment MATLAB ® 1 as a faithful companion. We will gradually discover its principal commands, statements and con­ structs. We will show how to execute all the algorithms that we intro­ duce throughout the book. This will enable us to furnish an immediate 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 ap­ plications.

Reviews

From the reviews:

“Can be used either as a complement to a basic or more advanced course in numerical analysis, or as a do-book for a short and practical introduction to the subject … . closing section of each chapter is a list of exercises, adapted to the level of the reader. … exercises are essential because the emphasis is clearly on the practical implementation … . after working through this book, the reader is brought to a relatively experienced lower step up the ladder of scientific computing.” (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)

Authors and Affiliations

  • Ecole Polytechnique Fédérale de Lausanne 1015 Lausanne, Switzerland

    Alfio Quarteroni

  • Politecnico de Milano, Milano, Italy

    Alfio Quarteroni, Fausto Saleri

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation