Computer Aided Analysis of Difference Schemes for Partial Differential Equations is popular PDF and ePub book, written by Victor G. Ganzha in 2011-03-01, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Computer Aided Analysis of Difference Schemes for Partial Differential Equations can be Read Online from any device for your convenience.

Computer Aided Analysis of Difference Schemes for Partial Differential Equations Book PDF Summary

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 the definitivereference on the application of computerized symbolic manipulationsfor analyzing the stability of a wide range of difference schemes.In particular, it deals with those schemes that are used to solvecomplex physical problems in areas such as gas dynamics, heat andmass transfer, catastrophe theory, elasticity, shallow watertheory, 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 stability investigation * Covers ten different approaches for each stability method * Deals with the specific characteristics of each method and itsapplication to problems commonly encountered by numerical modelers * 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.

Detail Book of Computer Aided Analysis of Difference Schemes for Partial Differential Equations PDF

Computer Aided Analysis of Difference Schemes for Partial Differential Equations
  • Author : Victor G. Ganzha
  • Release : 01 March 2011
  • Publisher : John Wiley & Sons
  • ISBN : 9781118030851
  • Genre : Science
  • Total Page : 458 pages
  • Language : English
  • PDF File Size : 7,9 Mb

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