Numerical Solutions for Partial Differential Equations
Problem Solving Using Mathematica
Seiten
1996
Crc Press Inc (Verlag)
978-0-8493-7379-4 (ISBN)
Crc Press Inc (Verlag)
978-0-8493-7379-4 (ISBN)
This book describes the applications of Mathematica for the numerical solution of all classical types (hyperbolic, parabolic, and elliptic) of the partial differential equations of mathematical physics.
Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica® can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.
Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica® can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.
Ganzha, Victor Grigor'e; Vorozhtsov, Evgenii Vasilev
1. Introduction to Mathematica 2. Finite Difference Methods for Hyperbolic PDEs 3. Finite Difference Methods for Parabolic PDEs 4. Numerical Methods for Elliptic PDEs
Erscheint lt. Verlag | 12.7.1996 |
---|---|
Verlagsort | Bosa Roca |
Sprache | englisch |
Maße | 156 x 234 mm |
Gewicht | 1020 g |
Einbandart | gebunden |
Themenwelt | Informatik ► Grafik / Design ► Digitale Bildverarbeitung |
Mathematik / Informatik ► Informatik ► Programmiersprachen / -werkzeuge | |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
ISBN-10 | 0-8493-7379-4 / 0849373794 |
ISBN-13 | 978-0-8493-7379-4 / 9780849373794 |
Zustand | Neuware |
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