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

Scientific and Engineering Applications

  • Alain Vande Wouwer
  • Philippe Saucez
  • Carlos Vilas

Table of contents

  1. Front Matter
    Pages i-xv
  2. Alain Vande Wouwer, Philippe Saucez, Carlos Vilas
    Pages 1-44
  3. Alain Vande Wouwer, Philippe Saucez, Carlos Vilas
    Pages 45-124
  4. Alain Vande Wouwer, Philippe Saucez, Carlos Vilas
    Pages 125-201
  5. Alain Vande Wouwer, Philippe Saucez, Carlos Vilas
    Pages 203-283
  6. Alain Vande Wouwer, Philippe Saucez, Carlos Vilas
    Pages 285-337
  7. Alain Vande Wouwer, Philippe Saucez, Carlos Vilas
    Pages 339-401
  8. Back Matter
    Pages 403-406

About this book

Introduction

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.

Keywords

Computer Algebra Simulation Method of Lines Nonlinear Distributed-parameter Systems Numerical Simulation Partial Differential Equations System Dynamics

Authors and affiliations

  • Alain Vande Wouwer
    • 1
  • Philippe Saucez
    • 2
  • Carlos Vilas
    • 3
  1. 1.Service d'AutomatiqueUniversité de MonsMonsBelgium
  2. 2.Service de Mathématique et Recherche OpérationelleUniversité de MonsMonsBelgium
  3. 3.(Bio)Process Engineering GroupInstituto de Investigaciones Marinas (CSIC)VigoSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-06790-2
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-06789-6
  • Online ISBN 978-3-319-06790-2
  • Buy this book on publisher's site