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

Revival: Numerical Solution Of Convection-Diffusion Problems (1996)
Title Revival: Numerical Solution Of Convection-Diffusion Problems (1996) PDF eBook
Author K.W. Morton
Publisher CRC Press
Pages 385
Release 2019-02-25
Genre Mathematics
ISBN 1351359673

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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.

Numerical Solution of Convection-diffusion Problems

Numerical Solution of Convection-diffusion Problems
Title Numerical Solution of Convection-diffusion Problems PDF eBook
Author K. W. Morton
Publisher
Pages
Release
Genre TECHNOLOGY & ENGINEERING
ISBN 9780203711194

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Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions

Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions
Title Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions PDF eBook
Author Thomas Trogdon
Publisher SIAM
Pages 370
Release 2015-12-22
Genre Mathematics
ISBN 1611974194

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Riemann?Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann?Hilbert problem.This book, the most comprehensive one to date on the applied and computational theory of Riemann?Hilbert problems, includes an introduction to computational complex analysis, an introduction to the applied theory of Riemann?Hilbert problems from an analytical and numerical perspective, and a discussion of applications to integrable systems, differential equations, and special function theory. It also includes six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann?Hilbert method, each of mathematical or physical significance or both.?

Numerical Solution Of Convection-Diffusion Problems

Numerical Solution Of Convection-Diffusion Problems
Title Numerical Solution Of Convection-Diffusion Problems PDF eBook
Author K.W. Morton
Publisher Chapman and Hall/CRC
Pages 384
Release 1996-05-15
Genre Mathematics
ISBN 9780412564406

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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. This book will be accessible and helpful to engineers, scientists, mathematicians, and to those engaged in solving real practical problems as well as those interested in developing further the theoretical basis for the methods used.

Mathematical Reviews

Mathematical Reviews
Title Mathematical Reviews PDF eBook
Author
Publisher
Pages 1296
Release 2003
Genre Mathematics
ISBN

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Meteorological and Geoastrophysical Abstracts

Meteorological and Geoastrophysical Abstracts
Title Meteorological and Geoastrophysical Abstracts PDF eBook
Author
Publisher
Pages 492
Release 1997
Genre Astrophysics
ISBN

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Atmospheric Modeling, Data Assimilation and Predictability

Atmospheric Modeling, Data Assimilation and Predictability
Title Atmospheric Modeling, Data Assimilation and Predictability PDF eBook
Author Eugenia Kalnay
Publisher Cambridge University Press
Pages 368
Release 2003
Genre Mathematics
ISBN 9780521796293

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This book, first published in 2002, is a graduate-level text on numerical weather prediction, including atmospheric modeling, data assimilation and predictability.