Revival: Numerical Solution Of Convection-Diffusion Problems (1996) CRC Press Revivals Series
Auteur : Morton K.W.
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.
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
Date de parution : 06-2018
15.6x23.4 cm
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Ajouter au panierDate de parution : 01-2019
15.6x23.4 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
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Ajouter au panierThèmes de Revival: Numerical Solution Of Convection-Diffusion... :
Mots-clés :
Convection Diffusion Problems; Algorithms; Green’s Function; Equations; Posteriori Error Analysis; Hyperbolic; Discrete Green’s Function; Methods; Truncation Error; Viscosity; Central Difference Scheme; computational fluid dynamics; Piecewise Linear Approximation; numerical algorithms; Finite Difference Methods; finite element methods; Upwind Scheme; convection-diffusion phenomenon; Discrete Maximum Principle; Global Basis Function; Maximum Principle; Element Basis Functions; Galerkin Schemes; Piecewise Linear; Unsteady Convection Diffusion Equation; Fourth Order Accuracy; Order Central Difference Scheme; Galerkin Approximation; Ordinary Differential Equations; Jacobi Iteration; Practical Stability; Outer Expansion; Unsteady Problems; Difference Scheme