Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica

1st Edition

Victor Grigor'e Ganzha, Evgenii Vasilev Vorozhtsov

CRC Press
Published July 12, 1996
Textbook - 347 Pages
ISBN 9780849373794 - CAT# 7379
Series: Symbolic & Numeric Computation

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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.

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