Convection Diffusion Problems An Introduction to Their Analysis and Numerical Solution is popular PDF and ePub book, written by Martin Stynes in 2018-11-21, it is a fantastic choice for those who relish reading online the Differential equations genre. Let's immerse ourselves in this engaging Differential equations book by exploring the summary and details provided below. Remember, Convection Diffusion Problems An Introduction to Their Analysis and Numerical Solution can be Read Online from any device for your convenience.
Convection Diffusion Problems An Introduction to Their Analysis and Numerical Solution Book PDF Summary
Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions. This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading.
Detail Book of Convection Diffusion Problems An Introduction to Their Analysis and Numerical Solution PDF
- Author : Martin Stynes
- Release : 21 November 2018
- Publisher : American Mathematical Soc.
- ISBN : 9781470448684
- Genre : Differential equations
- Total Page : 156 pages
- Language : English
- PDF File Size : 8,9 Mb
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