Applied Mathematics and Mathematical Computation: Numerical Solution of Convection-Diffusion Problems (Volume 12)

Morton, K.W.

ISBN 10: 0412564408 / ISBN 13: 9780412564406

Editore: Chapman & Hall, 1996

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Volume 12. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9780412564406.

Codice articolo 9825632

Dati bibliografici

• Titolo: Applied Mathematics and Mathematical Computation: Numerical Solution of Convection-Diffusion Problems (Volume 12)
• Editore: Chapman & Hall
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0412564408
• ISBN 13: 9780412564406
• Rilegatura: Rilegato
• Condizione: Good
• Cataloghi dei venditori:
  • Mathematics

Descrizione articolo

Riassunto

Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be very different in the two limiting cases of elliptic and hyperbolic equations. Many different ideas and approaches have been proposed in widely differing contexts to resolve the difficulties of exponential fitting, compact differencing, number upwinding, artificial viscosity, streamline diffusion, Petrov-Galerkin and evolution Galerkin being some examples from the main fields of finite difference and finite element methods. The main aim of this volume is to draw together all these ideas and see how they overlap and differ. The reader is provided with a useful and wide ranging source of algorithmic concepts and techniques of analysis. The material presented has been drawn both from theoretically oriented literature on finite differences, finite volume and finite element methods and also from accounts of practical, large-scale computing, particularly in the field of computational fluid dynamics. This book will be accessible and helpful to engineers, scientists, mathematicians, and to those engaged in solving real practical problems as well as those interested in developing further the theoretical basis for the methods used.

Contenuti

Introduction and overview
Selected results from mathematical analysis
Difference schemes for steady problems
Finite element methods
Galerkin schemes
Petrov-Galerkin methods
Finite volume methods for steady problems
Unsteady problems
References