Robust Numerical Methods for Singularly Perturbed Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Robust Numerical Methods for Singularly Perturbed Differential Equations write by Hans-Görg Roos. This book was released on 2008-09-17. Robust Numerical Methods for Singularly Perturbed Differential Equations available in PDF, EPUB and Kindle. 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 Methods for Singularly Perturbed Differential Equations
Numerical Methods for Singularly Perturbed Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for Singularly Perturbed Differential Equations write by Hans-Görg Roos. This book was released on 2013-06-29. Numerical Methods for Singularly Perturbed Differential Equations available in PDF, EPUB and Kindle. 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.
Robust Numerical Methods for Singularly Perturbed Differential Equations
Robust Numerical Methods for Singularly Perturbed Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Robust Numerical Methods for Singularly Perturbed Differential Equations write by Hans-G. Roos. This book was released on 2009-08-29. Robust Numerical Methods for Singularly Perturbed Differential Equations available in PDF, EPUB and Kindle. 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 Methods for Singularly Perturbed Differential Equations
Numerical Methods for Singularly Perturbed Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for Singularly Perturbed Differential Equations write by Hans-Görg Roos. This book was released on 2014-01-15. Numerical Methods for Singularly Perturbed Differential Equations available in PDF, EPUB and Kindle.
Fitted Numerical Methods for Singular Perturbation Problems
Fitted Numerical Methods for Singular Perturbation Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fitted Numerical Methods for Singular Perturbation Problems write by John James Henry Miller. This book was released on 2012. Fitted Numerical Methods for Singular Perturbation Problems available in PDF, EPUB and Kindle. 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.
