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Revival: Numerical Solution Of Convection-Diffusion Problems (1996) (CRC Press Revivals) - Softcover

Book 145 of 151: CRC Press Revivals

Morton, K.W.

 
9781138561038: Revival: Numerical Solution Of Convection-Diffusion Problems (1996) (CRC Press Revivals)
Softcover
ISBN 10: 1138561037 ISBN 13: 9781138561038
Publisher: CRC Press, 2019

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

K.W. Morton

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
CRC Press
Publication date
2019
Language
English
ISBN 10 
1138561037
ISBN 13 
9781138561038
Binding
Paperback
Edition number
1
Number of pages
384