Analytical And Numerical Solutions Of Diffusion Problems With Convection Reaction
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Analytical And Numerical Solutions Of Diffusion Problems With Convection Reaction
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Author : Miguel Angel Olmos Gomez
language : en
Publisher:
Release Date : 1995
Analytical And Numerical Solutions Of Diffusion Problems With Convection Reaction written by Miguel Angel Olmos Gomez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Diffusion categories.
Layer Adapted Meshes For Reaction Convection Diffusion Problems
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Author : Torsten Linß
language : en
Publisher: Springer
Release Date : 2009-11-21
Layer Adapted Meshes For Reaction Convection Diffusion Problems written by Torsten Linß and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-21 with Mathematics categories.
This is a book on numerical methods for singular perturbation problems – in part- ular, stationary reaction-convection-diffusion problems exhibiting layer behaviour. More precisely, it is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. Numerical methods for singularly perturbed differential equations have been studied since the early 1970s and the research frontier has been constantly - panding since. A comprehensive exposition of the state of the art in the analysis of numerical methods for singular perturbation problems is [141] which was p- lished in 2008. As that monograph covers a big variety of numerical methods, it only contains a rather short introduction to layer-adapted meshes, while the present book is exclusively dedicated to that subject. An early important contribution towards the optimisation of numerical methods by means of special meshes was made by N.S. Bakhvalov [18] in 1969. His paper spawned a lively discussion in the literature with a number of further meshes - ing proposed and applied to various singular perturbation problems. However, in the mid 1980s, this development stalled, but was enlivened again by G.I. Shishkin’s proposal of piecewise-equidistant meshes in the early 1990s [121,150]. Because of their very simple structure, they are often much easier to analyse than other meshes, although they give numerical approximations that are inferior to solutions on c- peting meshes. Shishkin meshes for numerous problems and numerical methods have been studied since and they are still very much in vogue.
Robust Numerical Methods For Singularly Perturbed Differential Equations
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Author : Hans-Görg Roos
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-17
Robust Numerical Methods For Singularly Perturbed Differential Equations written by Hans-Görg Roos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-17 with Mathematics categories.
This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.
Convection Diffusion Problems An Introduction To Their Analysis And Numerical Solution
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Author : Martin Stynes
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-11-21
Convection Diffusion Problems An Introduction To Their Analysis And Numerical Solution written by Martin Stynes and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-21 with Differential equations categories.
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.
Robust Numerical Methods For Singularly Perturbed Differential Equations
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Author : Hans-G. Roos
language : en
Publisher: Springer
Release Date : 2009-08-29
Robust Numerical Methods For Singularly Perturbed Differential Equations written by Hans-G. Roos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Mathematics categories.
This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.
Numerical Bifurcation Analysis For Reaction Diffusion Equations
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Author : Zhen Mei
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Numerical Bifurcation Analysis For Reaction Diffusion Equations written by Zhen Mei and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Layer Adapted Meshes For Reaction Convection Diffusion Problems
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Author : Torsten Lin y
language : en
Publisher:
Release Date : 2009-11-22
Layer Adapted Meshes For Reaction Convection Diffusion Problems written by Torsten Lin y and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-22 with Finite volume method categories.
This book on numerical methods for singular perturbation problems - in particular, stationary reaction-convection-diffusion problems exhibiting layer behaviour is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. A classification and a survey of layer-adapted meshes for reaction-convection-diffusion problems are included. This structured and comprehensive account of current ideas in the numerical analysis for various methods on layer-adapted meshes is addressed to researchers in finite element theory and perturbation problems. Finite differences, finite elements and finite volumes are all covered.
Analytical And Numerical Methods For Convection Dominated And Singularly Perturbed Problems
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Author : Lubin Vulkov
language : en
Publisher: Nova Publishers
Release Date : 2000
Analytical And Numerical Methods For Convection Dominated And Singularly Perturbed Problems written by Lubin Vulkov and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume is the Proceedings of the Workshop on Analytical and Computational Methods for Convection-Dominated and Singularly Perturbed Problems, which took place in Lozenetz, Bulgaria, 27-31 August 1998. The workshop attracted about 50 participants from 12 countries. The volume includes 13 invited lectures and 19 contributed papers presented at the workshop and thus gives an overview of the latest developments in both the theory and applications of advanced numerical methods to problems having boundary and interior layers. There was an emphasis on experiences from the numerical analysis of such problems and on theoretical developments. The aim of the workshop was to provide an opportunity for scientists from the East and the West, who develop robust methods for singularly perturbed and related problems and also who apply these methods to real-life problems, to discuss recent achievements in this area and to exchange ideas with a view of possible research co-operation.
Convection Diffusion Reaction Models Of Sedimentation
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Author : Julio Careaga
language : en
Publisher:
Release Date : 2021
Convection Diffusion Reaction Models Of Sedimentation written by Julio Careaga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Numerical Solution Of Time Dependent Advection Diffusion Reaction Equations
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Author : Willem Hundsdorfer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Numerical Solution Of Time Dependent Advection Diffusion Reaction Equations written by Willem Hundsdorfer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.
Unique book on Reaction-Advection-Diffusion problems