Convection-Diffusion Problems by Martin Stynes, David Stynes - 9781470448684

Convection-Diffusion ProblemsAn Introduction to Their Analysis and Numerical Solution\nAuthor(s): Martin Stynes, David Stynes\nFormat: Hardback\nPublisher: American Mathematical Society, United States\nImprint: American Mathematical Society\nISBN-13: 9781470448684, 978-1470448684\nSynopsis\nMany 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, a.