Nonlinear Interpolation And Boundary Value Problems
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Nonlinear Interpolation And Boundary Value Problems
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Author : Paul W. Eloe
language : en
Publisher: World Scientific
Release Date : 2016
Nonlinear Interpolation And Boundary Value Problems written by Paul W. Eloe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
"This book is devoted to the study of solutions of nonlinear ODE boundary value problems as nonlinear interpolation problems. In 1967, Lasota and Opial showed that, under suitable hypotheses, if solutions of a second-order nonlinear differential equation passing through two distinct points are unique, when they exist, then, in fact, a solution passing through two distinct points does exist. That result, coupled with the pioneering work of Philip Hartman on what was then called unrestricted n-parameter families has stimulated 50 years of rapid development in the study of solutions of boundary value problems as nonlinear interpolation problems. The purpose of this book is two-fold. First, the results that have been generated in the past 50 years are collected for the first time to produce a comprehensive and coherent treatment of what is now a well-defined area of study in the qualitative theory of ordinary differential equations. Second, methods and technical tools are sufficiently exposed so that the interested reader can contribute to the study of nonlinear interpolation"--
On A Nonlinear Two Point Boundary Value Problem
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Author : Milton Lees
language : en
Publisher:
Release Date : 1960
On A Nonlinear Two Point Boundary Value Problem written by Milton Lees and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Boundary value problems categories.
An Introduction To Nonlinear Boundary Value Problems
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Author : Lakshmikantham
language : en
Publisher: Academic Press
Release Date : 1974-05-31
An Introduction To Nonlinear Boundary Value Problems written by Lakshmikantham and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-05-31 with Computers categories.
A book on an advanced level that exposes the reader to the fascinating field of differential equations and provides a ready access to an up-to-date state of this art is of immense value. This book presents a variety of techniques that are employed in the theory of nonlinear boundary value problems. For example, the following are discussed: methods that involve differential inequalities; shooting and angular function techniques; functional analytic approaches; topological methods.
Nonlinear Two Point Boundary Value Problems
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Author : Bailey
language : en
Publisher: Academic Press
Release Date : 1968
Nonlinear Two Point Boundary Value Problems written by Bailey and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Computers categories.
Nonlinear Two Point Boundary Value Problems
Initial Value Methods For Boundary Value Problems Theory And Application Of Invariant Imbedding
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Author :
language : en
Publisher: Academic Press
Release Date : 1973-08-15
Initial Value Methods For Boundary Value Problems Theory And Application Of Invariant Imbedding written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-08-15 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Numerical Solutions Of Boundary Value Problems For Ordinary Differential Equations
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Author : A.K. Aziz
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Numerical Solutions Of Boundary Value Problems For Ordinary Differential Equations written by A.K. Aziz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of Maryland, Baltimore Country Campus. This symposium aims to bring together a number of numerical analysis involved in research in both theoretical and practical aspects of this field. This text is organized into three parts encompassing 15 chapters. Part I reviews the initial and boundary value problems. Part II explores a large number of important results of both theoretical and practical nature of the field, including discussions of the smooth and local interpolant with small K-th derivative, the occurrence and solution of boundary value reaction systems, the posteriori error estimates, and boundary problem solvers for first order systems based on deferred corrections. Part III highlights the practical applications of the boundary value problems, specifically a high-order finite-difference method for the solution of two-point boundary-value problems on a uniform mesh. This book will prove useful to mathematicians, engineers, and physicists.
Numerical Solution Of Nonlinear Boundary Value Problems With Applications
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Author : Milan Kubicek
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
Numerical Solution Of Nonlinear Boundary Value Problems With Applications written by Milan Kubicek and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.
Nonlinear Boundary Value Problems For Holomorphic Functions And Singular Integral Equations
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Author : Elias Wegert
language : en
Publisher: Wiley-VCH
Release Date : 1992-05-08
Nonlinear Boundary Value Problems For Holomorphic Functions And Singular Integral Equations written by Elias Wegert and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-08 with Mathematics categories.
Covers various topics in nonlinear boundary value problems for holomorphic functions, including existence and uniqueness results, questions concerning parameter dependence, regularity theorems, several procedures for numerically solving such problems, and applications to nonlinear singular integral equations. The emphasis is mainly on geometric aspects. Numerical methods are discussed. This text requires only an elementary knowledge of function theory. Includes a 13-page bibliography. Distributed in the US by VCH. Annotation copyright by Book News, Inc., Portland, OR
Generalized Collocation Methods
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Author : Nicola Bellomo
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-26
Generalized Collocation Methods written by Nicola Bellomo 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 2007-09-26 with Mathematics categories.
Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches this important topic by focusing on collocation methods for solving nonlinear evolution equations and applying them to a variety of mathematical problems. These include wave motion models, hydrodynamic models of vehicular traffic flow, convection-diffusion models, reaction-diffusion models, and population dynamics models. The book may be used as a textbook for graduate courses on collocation methods, nonlinear modeling, and nonlinear differential equations. Examples and exercises are included in every chapter.
Lectures On Nonlinear Evolution Equations
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Author : Reinhard Racke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Lectures On Nonlinear Evolution Equations written by Reinhard Racke 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 2013-06-29 with Mathematics categories.
This book serves as an elementary, self contained introduction into some important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The presentation is made using the classical method of continuation of local solutions with the help of a priori estimates obtained for small data.