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 MathematicaA(R) can be used for the
analytic investigation of such numerical properties as stability,
approximation, and dispersion.
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