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...
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....
VICTOR G. GANZHA is Visiting Professor of Mathematics with theFaculty of Mathematics and Informatics at the University of Kassel,Germany, where he presents lecture courses on advanced computeralgebra systems and their applications to higher mathematics andnumerical analysis. He is coauthor of Differentialgleichungen mitMathematica.
E. V. VOROZHTSOV is a research scientist at the Russian Academy ofSciences in Novosibirsk, Russia, and Professor of Mathematics withthe Faculty of Flying Vehicles...
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