Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB - Scientific and Engineering Applications

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.

List of contents

An Introductory Tour.- More on ODE Integration.- Finite Differences and the Method of Lines.- Finite Elements and Spectral Methods.- How to Handle Steep Moving Fronts?.- Two-dimensional and Time-varying Spatial Domains.

Product details

• Authors: Philipp Saucez, Philippe Saucez, Alai Vande Wouwer, Alain Vande Wouwer, Carlos Vilas
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2017
• EAN: 9783319376707
• ISBN: 978-3-31-937670-7
• No. of pages: 406
• Dimensions: 155 mm x 231 mm x 17 mm
• Weight: 716 g
• Illustrations: XV, 406 p. 141 illus., 33 illus. in color.
• Subjects: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; B, computer science, engineering, Control and Systems Theory, Chemical Engineering, Industrial Chemistry, Mechanical Engineering, Systems Theory, Control, Maths for engineers, Mathematical modelling, Control engineering, Computer simulation, Computer modelling & simulation, Simulation and Modeling, Industrial chemistry & chemical engineering, Mathematical Modeling and Industrial Mathematics, Mathematical models, System Theory, Cybernetics & systems theory, Industrial Chemistry/Chemical Engineering