Overview
- 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
- Includes supplementary material: sn.pub/extras
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Table of contents (6 chapters)
Keywords
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.
Authors and Affiliations
Bibliographic Information
Book Title: Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB
Book Subtitle: Scientific and Engineering Applications
Authors: Alain Vande Wouwer, Philippe Saucez, Carlos Vilas
DOI: https://doi.org/10.1007/978-3-319-06790-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-06789-6Published: 01 July 2014
Softcover ISBN: 978-3-319-37670-7Published: 30 April 2017
eBook ISBN: 978-3-319-06790-2Published: 07 June 2014
Edition Number: 1
Number of Pages: XV, 406
Number of Illustrations: 108 b/w illustrations, 33 illustrations in colour
Topics: Control and Systems Theory, Mathematical Modeling and Industrial Mathematics, Simulation and Modeling, Industrial Chemistry/Chemical Engineering, Systems Theory, Control, Mechanical Engineering