Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica

✍ Scribed by Victor Grigor`e Ganzha (Author); Evgenii Vasilev Vorozhtsov (Author)

Publisher: CRC Press
Year: 1996
Leaves: 365
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

1. Introduction to Mathematica 2. Finite Difference Methods for Hyperbolic PDEs 3. Finite Difference Methods for Parabolic PDEs 4. Numerical Methods for Elliptic PDEs

✦ Subjects

Computer Science;Computation;Computational Numerical Analysis;Engineering & Technology;Mathematics & Statistics for Engineers;Mathematics & Statistics;Advanced Mathematics;Analysis - Mathematics;Differential Equations

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