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Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica (with Disk)

Victor G. Ganzha, Evgenii V. Vorozhtsov, Richard J. Fateman, Robert L. Grossman

Abstract

From the Publisher: 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 characterize 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: Problems Solving Using Mathematica 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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Available abstract

Key concepts: Partial differential equation, Numerical partial differential equations, Numerical stability, Numerical analysis, Exponential integrator, Numerical methods for ordinary differential equations, Stability (learning theory), Computer science