"Galerkin formulation, from which the finite element method has drawn many of its advantageous properties"

Numerical Methods for Fluid Dynamics (The Institute of Mathematics and Its Applications conference series)

Science & Math

Morton, K. W.

Mathematics

Academic Pr

This book contains the proceedings of an international conference on Numerical Methods for Fluid Dynamics held at the University of Oxford in April 1995. It provides a summary of recent research on the computational aspects of fluid dynamics. It includes contributions from many distinguished mathematicians and engineers and, as always, the standard of papers is high. The main themes of the book are algorithms and algorithmic needs arising from applications, Navier-Stokes on flexible grids, and environmental computational fluid dynamics. Graduate students of numerical analysis will find the up-to-date coverage of research in this book very useful.

Numerical Methods for Fluid Dynamics V (Oxford Science Publications)

Baines, M. J.

Clarendon Press

Although certain important theoretical advances are described in some detail, especially in chapters 4,5, and 6, the book is intended primarily for users, not for numerical analysts. As in other parts of mathematics, the abstract theory and applications have tended to grow apart, and a new branch of pure mathematics has come into being in this area. Certain parts of the theory that are useful or significant for practical applications are presented, and the practical approach that was emphasized in the first edition has been retained.

Difference Methods for Initial Value Problems

Richtmyer, Robert D.

wiley

Numerical Solution of Partial Differential Equations

Partial differential equations are the chief means of providing mathematical models in science, engineering and other fields. Generally these models must be solved numerically. This book provides a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems. The authors emphasise finite difference methods for simple examples of parabolic, hyperbolic and elliptic equations; finite element, finite volume and spectral methods are discussed briefly to see how they relate to the main theme. Stability is treated clearly and rigorously using maximum principles, energy methods, and discrete Fourier analysis. Methods are described in detail for simple problems, accompanied by typical graphical results. A key feature is the thorough analysis of the properties of these methods. Plenty of examples and exercises of varying difficulty are supplied. The book is based on the extensive teaching experience of the authors, who are also well-known for their work on practical and theoretical aspects of numerical analysis. It will be an excellent choice for students and teachers in mathematics, engineering and computer science departments seeking a concise introduction to the subject.

Mayers, D. F.

Cambridge University Press

This second edition of a highly successful graduate text presents a complete introduction to partial differential equations and numerical analysis. Revised to include new sections on finite volume methods, modified equation analysis, and multigrid and conjugate gradient methods, the second edition brings the reader up-to-date with the latest theoretical and industrial developments. First Edition Hb (1995): 0-521-41855-0 First Edition Pb (1995): 0-521-42922-6

Numerical Solution of Partial Differential Equations: An Introduction

Difference Methods for Initial-Value Problems

Krieger Pub. Co

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

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.

Computers & Technology

Computer Science

CRC-Press

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Books by Morton, K. W.

See the best price to sell, buy, or rent books by Morton, K. W.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Numerical Methods for Fluid Dynamics (The Institute of Mathematics and Its Applications conference series)

Numerical Methods for Fluid Dynamics V (Oxford Science Publications)

Difference Methods for Initial Value Problems

Numerical Solution of Partial Differential Equations

Numerical Solution of Partial Differential Equations

Numerical Solution of Partial Differential Equations: An Introduction

Difference Methods for Initial-Value Problems

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

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