Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB

Scientific and Engineering Applications

Authors: Vande Wouwer, Alain, Saucez, Philippe, Vilas Fernández, Carlos

  • Worked examples in the text provide a practical introduction to the solution techniques presented
  • Collection of codes available for download includes not only solution algorithms for examples in the text but also application examples in various areas of science and engineering
  • A Toolbox is available for MATLAB® but also for open-source alternatives Octave and Scilab
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  • ISBN 978-3-319-06789-6
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About this book

Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems of algebraic equations, ordinary differential equations (ODEs) and partial differential equations (PDEs). Special attention is paid to the numerical method of lines (MOL), a popular approach to the solution of time-dependent PDEs, which proceeds in two basic steps: spatial discretization and time integration.

Besides conventional finite-difference and element techniques, more advanced spatial-approximation methods are examined in some detail, including nonoscillatory schemes and adaptive-grid approaches. A MOL toolbox has been developed within MATLAB®/OCTAVE/SCILAB. In addition to a set of spatial approximations and time integrators, this toolbox includes a collection of application examples, in specific areas, which can serve as templates for developing new programs.

Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB provides a practical introduction to some advanced computational techniques for dynamic system simulation, supported by many worked examples in the text, and a collection of codes available for download from the book’s page at www.springer.com. This text is suitable for self-study by practicing scientists and engineers and as a final-year undergraduate course or at the graduate level.

Table of contents (6 chapters)

  • An Introductory Tour

    Vande Wouwer, Alain (et al.)

    Pages 1-44

  • More on ODE Integration

    Vande Wouwer, Alain (et al.)

    Pages 45-124

  • Finite Differences and the Method of Lines

    Vande Wouwer, Alain (et al.)

    Pages 125-201

  • Finite Elements and Spectral Methods

    Vande Wouwer, Alain (et al.)

    Pages 203-283

  • How to Handle Steep Moving Fronts?

    Vande Wouwer, Alain (et al.)

    Pages 285-337

Buy this book

eBook n/a
  • ISBN 978-3-319-06790-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-319-06789-6
  • with online files
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-3-319-37670-7
  • Free shipping for individuals worldwide
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB
Book Subtitle
Scientific and Engineering Applications
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06790-2
DOI
10.1007/978-3-319-06790-2
Hardcover ISBN
978-3-319-06789-6
Softcover ISBN
978-3-319-37670-7
Edition Number
1
Number of Pages
XV, 406
Number of Illustrations and Tables
108 b/w illustrations, 33 illustrations in colour
Topics