Singularly Perturbed Methods For Nonlinear Elliptic Problems
Download Singularly Perturbed Methods For Nonlinear Elliptic Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Singularly Perturbed Methods For Nonlinear Elliptic Problems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Singularly Perturbed Methods for Nonlinear Elliptic Problems
Author: Daomin Cao
language: en
Publisher: Cambridge University Press
Release Date: 2021-02-18
A systematic introduction to the singularly perturbed methods in the study of concentration solutions for nonlinear elliptic problems.
Fitted Numerical Methods for Singular Perturbation Problems
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.
Robust Numerical Methods for Singularly Perturbed Differential Equations
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.