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OverviewAccurate 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. Full Product DetailsAuthor: K.W. Morton (Oxford University, UK) , R.J. Knops , R.J. KnopsPublisher: Taylor & Francis Ltd Imprint: CRC Press Weight: 0.453kg ISBN: 9781138105782ISBN 10: 1138105783 Pages: 384 Publication Date: 14 June 2018 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction 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 ReferencesReviewsAuthor InformationK.W. Morton Tab Content 6Author Website:Countries AvailableAll regions |