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Revival: Numerical Solution Of Convection-Diffusion Problems (1996) (Paperback): K.W. Morton, R.J. Knops Revival: Numerical Solution Of Convection-Diffusion Problems (1996) (Paperback)
K.W. Morton, R.J. Knops
R1,592 Discovery Miles 15 920 Ships in 12 - 17 working days

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.

Revival: Numerical Solution Of Convection-Diffusion Problems (1996) (Hardcover): K.W. Morton, R.J. Knops Revival: Numerical Solution Of Convection-Diffusion Problems (1996) (Hardcover)
K.W. Morton, R.J. Knops
R6,395 Discovery Miles 63 950 Ships in 12 - 17 working days

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.

Twelfth International Conference on Numerical Methods in Fluid Dynamics - Proceedings of the Conference Held at the University... Twelfth International Conference on Numerical Methods in Fluid Dynamics - Proceedings of the Conference Held at the University of Oxford, England on 9-13 July 1990 (Paperback, 1990 ed.)
K.W. Morton
R3,070 Discovery Miles 30 700 Ships in 10 - 15 working days

These proceedings are devoted to the most recent research in computational fluid mechanics and include a thorough analysis of the state of the art in parallel computing and the development of algorithms. The applications cover hypersonic and environmental flows, transitions in turbulence, and propulsion systems. Seven invited lectures survey the results of the recent past and point out interesting new directions of research. The contributions have been carefully selected for publication.

Finite Amplitude Compression Waves in a Collision-free Plasma (Paperback): K.W. Morton Finite Amplitude Compression Waves in a Collision-free Plasma (Paperback)
K.W. Morton
R492 Discovery Miles 4 920 Ships in 10 - 15 working days
Stability Studies for Difference Equations - (I) Non-linear Stability; (II) Coupled Sound and Heat Flow (Hardcover): K.W.... Stability Studies for Difference Equations - (I) Non-linear Stability; (II) Coupled Sound and Heat Flow (Hardcover)
K.W. Morton, Robert D. Richtmyer
R794 Discovery Miles 7 940 Ships in 10 - 15 working days
Numerical Solution of Partial Differential Equations - An Introduction (Paperback, 2nd Revised edition): K.W. Morton, D. F... Numerical Solution of Partial Differential Equations - An Introduction (Paperback, 2nd Revised edition)
K.W. Morton, D. F Mayers
R2,109 Discovery Miles 21 090 Ships in 10 - 15 working days

This is the second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text brings the reader up-to-date with the latest theoretical and industrial developments.

Vortex Structures in a Stratified Fluid - Order from Chaos (Hardcover): K.W. Morton Vortex Structures in a Stratified Fluid - Order from Chaos (Hardcover)
K.W. Morton; Sergey I. Voropayev, Y.D. Afanasyev; Series edited by R.J. Knops
R4,140 R1,559 Discovery Miles 15 590 Save R2,581 (62%) Ships in 12 - 17 working days

A fully systematic treatment of the dynamics of vortex structures and their interactions in a viscous density stratified fluid is provided by this book. The various compact vortex structures such as monopoles, dipoles, quadrupoles, as well as more complex ones are considered theoretically from a physical point of view.
Another essential feature of the book is the close combination of theoretical analyses with numerous examples of real flows.
The book further provides real physical insight and base for postgraduate students specializing in geophysical and applied fluid dynamics. Among the family of vortex structures considered in the book, the most remarkable are the vortex dipoles. These are fundamental elements of the complex chaotic flows associated with the term 'two-dimensional turbulence'. The appearance of these structures in initially chaotic flows is currently of great interest because of a myriad of geophysical applications. Specific examples include the mushroom-like currents discovered from satellite images of the upper ocean. The book is well illustrated with many original photographs (some in colour) and diagrams.

Numerical Methods for Fluid Dynamics IV (Hardcover): M.J. Baines, K.W. Morton Numerical Methods for Fluid Dynamics IV (Hardcover)
M.J. Baines, K.W. Morton
R2,169 Discovery Miles 21 690 Ships in 10 - 15 working days

Since the early 1980s, a series of International Conferences on Numerial Methods for Fluid Dynamics has been held at the Universities of Oxford and Reading, the majority of them under the aegis of the Institute for Computational Fluid Dynamics, a joint research organization set up in 1983 with the support of the SERC. This volume is the proceedings of the latest conference in the series, which was held at Reading University in April 1992, and attracted a large number of delegates from Europe and North America, who contributed talks on a wide range of topics in CFD. A full representation from industry and the universities took part. As in previous conferences, the aim was to bring together mathematicians, engineers and others working in the field of computational fluid dynamics to review recent advances in mathematical and computational fluid techniques for modelling fluid flows. Because the area is so vast, it was once again decided to highlight a number of main themes: inplicit methods in CFD; mesh generation and error analysis (including mesh quality); numerical boundary conditions (particularly non-reflective); multigrid and alternative methods for hyperbolic systems. As with al

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