Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica

by Victor Grigor'e Ganzha, Evgenii Vasilev Vorozhtsov

Overview

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.

Product Details

ISBN-13:	9780849373794
Publisher:	Taylor & Francis
Publication date:	07/12/1996
Series:	Symbolic & Numeric Computation Series , #7
Edition description:	BK&DISK
Pages:	362
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Ganzha, Victor Grigor'e; Vorozhtsov, Evgenii Vasilev

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