Computer-Aided Analysis of Difference Schemes for Partial Differential Equations
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Book Description
Advances in computer technology have conveniently coincided with trends in numerical analysis toward increased complexity of computational algorithms based on finite difference methods. It is no longer feasible to perform stability investigation of these methods manually—and no longer necessary. As this book shows, modern computer algebra tools can be combined with methods from numerical analysis to generate programs that will do the job automatically.
Comprehensive, timely, and accessible—this is the definitive reference on the application of computerized symbolic manipulations for analyzing the stability of a wide range of difference schemes. In particular, it deals with those schemes that are used to solve complex physical problems in areas such as gas dynamics, heat and mass transfer, catastrophe theory, elasticity, shallow water theory, and more.
Introducing many new applications, methods, and concepts, Computer-Aided Analysis of Difference Schemes for Partial Differential Equations
For mathematicians, physicists, and engineers, as well as for postgraduate students, and for anyone involved with numeric solutions for real-world physical problems, this book provides a valuable resource, a helpful guide, and a head start on developments for the twenty-first century.
The publisher, John Wiley & Sons
A topical and comprehensive reference containing applications of computerized symbolic manipulations for analyzing the stability of a wide range of diverse schemes commonly used for solving problems in gas dynamics, catastrophe theory, heat and mass transfer. Provides basic mathematical formula for implementing each algorithm and all formulas are presented on a variety of computer operating systems using global algebraic symbolic languages such as MAPLE, MATHEMATICA and REDUCE. Features scores of illustrations and examples.
Computer-Aided Analysis of Difference Schemes for Partial Differential Equations
Computer-Aided Analysis of Difference Schemes for Partial Differential Equations,Victor G. Ganzha,E. V. Vorozhtsov,Wiley-Interscience,0471129461,Computer Books: General,Data processing,Differential Equations - Partial Differential Equations,Differential equations, Partia,Differential equations, Partial,Finite differences,General,Numerical solutions,Partial Differential Equations,Science,Aerospace & aviation technology,Applications of Computing,Differential equations,Mathematics for scientists & engineers,Science / General
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