An Adaptive Grid Method For Singularly Perturbed Time Dependent Convection Diffusion Problems

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An Adaptive Grid Method For Singularly Perturbed Time Dependent Convection Diffusion Problems

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Author :
language : en
Publisher:
Release Date : 2016

An Adaptive Grid Method For Singularly Perturbed Time Dependent Convection Diffusion Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.

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.

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.

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.

Numerical Methods For Singularly Perturbed Differential Equations

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Author : Hans-G. Roos
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-03-14

Numerical Methods For Singularly Perturbed Differential Equations written by Hans-G. 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 1996-03-14 with Mathematics categories.

The analysis of singular perturbed differential equations began early in this century, when approximate solutions were constructed from asymptotic ex pansions. (Preliminary attempts appear in the nineteenth century [vD94].) This technique has flourished since the mid-1960s. Its principal ideas and methods are described in several textbooks. Nevertheless, asymptotic ex pansions may be impossible to construct or may fail to simplify the given problem; then numerical approximations are often the only option. The systematic study of numerical methods for singular perturbation problems started somewhat later - in the 1970s. While the research frontier has been steadily pushed back, the exposition of new developments in the analysis of numerical methods has been neglected. Perhaps the only example of a textbook that concentrates on this analysis is [DMS80], which collects various results for ordinary differential equations, but many methods and techniques that are relevant today (especially for partial differential equa tions) were developed after 1980.Thus contemporary researchers must comb the literature to acquaint themselves with earlier work. Our purposes in writing this introductory book are twofold. First, we aim to present a structured account of recent ideas in the numerical analysis of singularly perturbed differential equations. Second, this important area has many open problems and we hope that our book will stimulate further investigations.Our choice of topics is inevitably personal and reflects our own main interests.

Fitted Numerical Methods For Singular Perturbation Problems Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions Revised Edition

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Author : John J H Miller
language : en
Publisher: World Scientific
Release Date : 2012-02-29

Fitted Numerical Methods For Singular Perturbation Problems Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions Revised Edition written by John J H Miller and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-29 with Mathematics categories.

Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.

An A Posteriori Adaptive Mesh Technique For Singularly Perturbed Convection Diffusion Problems With A Moving Interior Layer

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Author : Grigorii Ivanovich Shishkin
language : en
Publisher:
Release Date : 2003

An A Posteriori Adaptive Mesh Technique For Singularly Perturbed Convection Diffusion Problems With A Moving Interior Layer written by Grigorii Ivanovich Shishkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.

Recent Advances In Adaptive Computation

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Author : Zhongci Shi
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Recent Advances In Adaptive Computation written by Zhongci Shi 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 2005 with Computers categories.

There has been rapid development in the area of adaptive computation over the past decade. The International Conference on Recent Advances in Adaptive Computation was held at Zhejiang University (Hangzhou, China) to explore these new directions. The conference brought together specialists to discuss modern theories and practical applications of adaptive methods. This volume contains articles reflecting the invited talks given by leading mathematicians at the conference. It is suitable for graduate students and researchers interested in methods of computation.

Adaptive Refinement And Uniformly Convergent Numerical Methods For Singularly Perturbed Convection Diffusion Equations

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Author : Serguei Vladimirovich Gololobov
language : en
Publisher:
Release Date : 2004

Adaptive Refinement And Uniformly Convergent Numerical Methods For Singularly Perturbed Convection Diffusion Equations written by Serguei Vladimirovich Gololobov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.

Adaptive Streamline Diffusion Finite Element Methods For Time Dependent Convection Diffusion Problems

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Author : Kenneth Eriksson
language : en
Publisher:
Release Date : 1993

Adaptive Streamline Diffusion Finite Element Methods For Time Dependent Convection Diffusion Problems written by Kenneth Eriksson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.