Advances in computer technology have conveniently coincided withtrends in numerical analysis toward increased complexity ofcomputational algorithms based on finite difference methods. It isno longer feasible to perform stability investigation of thesemethods manually—and no longer necessary. As this book shows,modern computer algebra tools can be combined with methods fromnumerical analysis to generate programs that will do the jobautomatically. Comprehensive, timely, and accessible—this is thedefinitive reference on the application of computerized symbolicmanipulations for analyzing the stability of a wide range ofdifference schemes. In particular, it deals with those schemes thatare used to solve complex physical problems in areas such as gasdynamics, 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 PartialDifferential Equations Shows how computational algebra expedites the task of stabilityanalysis—whatever the approach to stabilityinvestigation Covers ten different approaches for each stability method Deals with the specific characteristics of each method and itsapplication to problems commonly encountered by numericalmodelers Describes all basic mathematical formulas that are necessary toimplement each algorithm Provides each formula in several global algebraic symboliclanguages, such as MAPLE, MATHEMATICA, and REDUCE Includes numerous illustrations and thought-provoking examplesthroughout the text For mathematicians, physicists, and engineers, as well as forpostgraduate students, and for anyone involved with numericsolutions for real-world physical problems, this book provides avaluable resource, a helpful guide, and a head start ondevelopments for the twenty-first century.
This Book was ranked at 27 by Google Books for keyword computer.
Book ID of Computer-Aided Analysis of Difference Schemes for Partial Differential Equations's Books is Z5mzzM-SdRIC, Book which was written byVictor G. Ganzha,Victor Grigor'evich Ganzha,E. V. Vorozhtsovhave ETAG "HSZ6B44Atyg"
Book which was published by John Wiley & Sons since 1996-04-12 have ISBNs, ISBN 13 Code is 9780471129462 and ISBN 10 Code is 0471129461
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Book which have "458 Pages" is Printed at BOOK under CategoryMathematics
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