Simulation of ODE/PDE Models with MATLAB®,...

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Beschreibung

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 [...] This text is suitable for self-study by practicing scientists and engineers and as a final-year undergraduate course or at the graduate level.

Zusammenfassung

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: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2014
Fachbereich:	Nachrichtentechnik
Genre:	Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xv 406 S. 108 s/w Illustr. 33 farbige Illustr. 406 p. 141 illus. 33 illus. in color. With online files/update.
ISBN-13:	9783319067896
ISBN-10:	3319067893
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Vande Wouwer, Alain Vilas, Carlos Saucez, Philippe
Hersteller:	Springer International Publishing Springer International Publishing AG
Maße:	241 x 160 x 29 mm
Von/Mit:	Alain Vande Wouwer (u. a.)
Erscheinungsdatum:	01.07.2014
Gewicht:	0,799 kg

Artikel-ID: 105240586