Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010059356 | QA377 G23 1996 | Open Access Book | Book | Searching... |
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Summary
Summary
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.
Author Notes
Ganzha, Victor Grigor'e; Vorozhtsov, Evgenii Vasilev
Reviews 1
Choice Review
Ganzha and Vorozhtsov very thoroughly review numerical methods for solving partial differential equations (PDEs). They cover all the classical types of PDEs with some discussion of nonlinear cases. Their emphasis is on finite difference schemes, although there is some coverage of finite element methods. The discussion is theoretical with derivations of schemes and analysis of stability and approximation orders. There are some exercises. The book's distinctive characteristic is its integration of Mathematica throughout. The first chapter briefly introduces Mathematica; it is used in virtually every section. No prior knowledge of Mathematica is assumed, but a working knowledge would be useful. Mathematica applications are instructive, interesting, and well thought out. However, the writing is stilted and awkward at times, and some of the Mathematica notebooks contained on the accompanying disk caused a 486 PC running Windows 3.1 and Mathematica 2.3.3 to freeze up. Despite these problems, the book is highly recommended. For mathematically sophisticated graduate students. J. H. Ellison Grove City College
