Two Parameter Singular Perturbation Problems
DOWNLOAD
Download Two Parameter Singular Perturbation Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Two Parameter Singular Perturbation 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. If the content not found or just blank you must refresh this page
Two Parameter Singular Perturbation Problems
DOWNLOAD
Author : Robert E. O'Malley
language : en
Publisher:
Release Date : 1965
Two Parameter Singular Perturbation Problems written by Robert E. O'Malley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Asymptotes categories.
Two Parameter Singular Perturbation Problems For Second Order Equations
DOWNLOAD
Author : Stanford University. Department of Mathematics
language : en
Publisher:
Release Date :
Two Parameter Singular Perturbation Problems For Second Order Equations written by Stanford University. Department of Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Fitted Numerical Methods For Singular Perturbation Problems Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions
DOWNLOAD
Author : John J H Miller
language : en
Publisher: World Scientific
Release Date : 1996-01-01
Fitted Numerical Methods For Singular Perturbation Problems Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions 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 1996-01-01 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 this 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.
Difference Methods For Singular Perturbation Problems
DOWNLOAD
Author : Grigory I. Shishkin
language : en
Publisher: CRC Press
Release Date : 2008-09-22
Difference Methods For Singular Perturbation Problems written by Grigory I. Shishkin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-22 with Mathematics categories.
Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods. The first part of the book e
Robust Computational Methods For Two Parameter Singular Perturbation Problems
DOWNLOAD
Author : David Elago
language : en
Publisher:
Release Date : 2010
Robust Computational Methods For Two Parameter Singular Perturbation Problems written by David Elago and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Initial value problems categories.
This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov type) as well as a tted operator nite di erence method. We notice that results on Bakhvalov mesh are better than those on Shishkin mesh. However, piecewise uniform meshes provide a simpler platform for analysis and computations. Fitted operator methods are even simpler in these regards due to the ease of operating on uniform meshes. Richardson extrapolation is applied on one of the tted mesh nite di erence method (those based on Shishkin mesh) as well as on the tted operator nite di erence method in order to improve the accuracy and/or the order of convergence. This is our main contribution to this eld and in fact we have achieved very good results after extrapolation on the tted operator finitete difference method. Extensive numerical computations are carried out on to confirm the theoretical results.
Introduction To Singular Perturbations
DOWNLOAD
Author : Robert E. Jr. O'Malley
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Introduction To Singular Perturbations written by Robert E. Jr. O'Malley and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.
Singular Perturbation Theory
DOWNLOAD
Author : Donald R. Smith
language : en
Publisher: Cambridge University Press
Release Date : 1985-08-30
Singular Perturbation Theory written by Donald R. Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08-30 with Mathematics categories.
Introduction to singular perturbation problems. Since the nature of the nonuniformity can vary from case to case, the author considers and solves a variety of problems, mostly for ordinary differential equations.
A Singular Perturbation Problem In Partial Differential Equations With Two Small Parameters
DOWNLOAD
Author : Crepin Marie Mahop
language : en
Publisher:
Release Date : 1976
A Singular Perturbation Problem In Partial Differential Equations With Two Small Parameters written by Crepin Marie Mahop and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Applications Of Nonstandard Finite Difference Schemes
DOWNLOAD
Author : Ronald E. Mickens
language : en
Publisher: World Scientific
Release Date : 2000
Applications Of Nonstandard Finite Difference Schemes written by Ronald E. Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The main purpose of this book is to provide a concise introduction to the methods and philosophy of constructing nonstandard finite difference schemes and illustrate how such techniques can be applied to several important problems. Chapter I gives an overview of the subject and summarizes previous work. Chapters 2 and 3 consider in detail the construction and numerical implementation of schemes for physical problems involving convection-diffusion-reaction equations, that arise in groundwater pollution and scattering of electromagnetic waves using Maxwell's equations. Chapter 4 examines certain mathematical issues related to the nonstandard discretization of competitive and cooperative models for ecology. The application chapters illustrate well the power of nonstandard methods. In particular, for the same accuracy as obtained by standard techniques, larger step sizes can be used. This volume will satisfy the needs of scientists, engineers, and mathematicians who wish to know how to construct nonstandard schemes and see how these are applied to obtain numerical solutions of the differential equations which arise in the study of nonlinear dynamical systems modeling important physical phenomena.
Two Parameter Singular Perturbation Problems
DOWNLOAD
Author : Robert E. O'Malley
language : en
Publisher:
Release Date : 1965
Two Parameter Singular Perturbation Problems written by Robert E. O'Malley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Asymptotes categories.