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Ill Posed Variational Problems And Regularization Techniques


Ill Posed Variational Problems And Regularization Techniques
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Ill Posed Variational Problems And Regularization Techniques


Ill Posed Variational Problems And Regularization Techniques
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Author : Michel Thera
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Ill Posed Variational Problems And Regularization Techniques written by Michel Thera 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 2012-12-06 with Business & Economics categories.


This book presents recent developments in the field of ill-posed variational problems and variational inequalities, covering a large range of theoretical, numerical and practical aspects. The main topics are: - Regularization techniques for equilibrium and fixed point problems, variational inequalities and complementary problems, - Links between approximation, penalization and regularization, - Bundle methods, nonsmooth optimization and regularization, - Error Bounds for regularized optimization problems.



Computational Methods For Inverse Problems


Computational Methods For Inverse Problems
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Author : Curtis R. Vogel
language : en
Publisher: SIAM
Release Date : 2002-01-01

Computational Methods For Inverse Problems written by Curtis R. Vogel and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.


Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.



Regularization Algorithms For Ill Posed Problems


Regularization Algorithms For Ill Posed Problems
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Author : Anatoly B. Bakushinsky
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-02-05

Regularization Algorithms For Ill Posed Problems written by Anatoly B. Bakushinsky and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Mathematics categories.


This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields. Contents Introduction Regularization Methods For Linear Equations Finite Difference Methods Iterative Regularization Methods Finite-Dimensional Iterative Processes Variational Inequalities and Optimization Problems



Well Posed Ill Posed And Intermediate Problems With Applications


Well Posed Ill Posed And Intermediate Problems With Applications
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Author : Petrov Yuri P.
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22

Well Posed Ill Posed And Intermediate Problems With Applications written by Petrov Yuri P. and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.


This book deals with one of the key problems in applied mathematics, namely the investigation into and providing for solution stability in solving equations with due allowance for inaccuracies in set initial data, parameters and coefficients of a mathematical model for an object under study, instrumental function, initial conditions, etc., and also with allowance for miscalculations, including roundoff errors. Until recently, all problems in mathematics, physics and engineering were divided into two classes: well-posed problems and ill-posed problems. The authors introduce a third class of problems: intermediate ones, which are problems that change their property of being well- or ill-posed on equivalent transformations of governing equations, and also problems that display the property of being either well- or ill-posed depending on the type of the functional space used. The book is divided into two parts: Part one deals with general properties of all three classes of mathematical, physical and engineering problems with approaches to solve them; Part two deals with several stable models for solving inverse ill-posed problems, illustrated with numerical examples.



Ill Posed Variational Problems And Regularization Techniques


Ill Posed Variational Problems And Regularization Techniques
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Author : Michel Thera
language : en
Publisher: Springer
Release Date : 2012-03-19

Ill Posed Variational Problems And Regularization Techniques written by Michel Thera and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-19 with Business & Economics categories.




Recent Advances In Optimization


Recent Advances In Optimization
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Author : Alberto Seeger
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-26

Recent Advances In Optimization written by Alberto Seeger 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 2006-01-26 with Mathematics categories.


The contributions appearing in this book give an overview of recent research done in optimization and related areas, such as optimal control, calculus of variations, and game theory. They do not only address abstract issues of optimization theory, but are also concerned with the modeling and computer resolution of specific optimization problems arising in industry and applied sciences.



Abstract Cauchy Problems


Abstract Cauchy Problems
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Author : Irina V. Melnikova
language : en
Publisher: CRC Press
Release Date : 2001-03-27

Abstract Cauchy Problems written by Irina V. Melnikova and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-27 with Mathematics categories.


Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularizat



Splitting Methods In Communication Imaging Science And Engineering


Splitting Methods In Communication Imaging Science And Engineering
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Author : Roland Glowinski
language : en
Publisher: Springer
Release Date : 2017-01-05

Splitting Methods In Communication Imaging Science And Engineering written by Roland Glowinski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-05 with Mathematics categories.


This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. Therefore, the book presents very versatile aspects of splitting methods and their applications, motivating the cross-fertilization of ideas.



Encyclopedia Of Optimization


Encyclopedia Of Optimization
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Author : Christodoulos A. Floudas
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-04

Encyclopedia Of Optimization written by Christodoulos A. Floudas 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 2008-09-04 with Mathematics categories.


The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".



Advances In Imaging And Electron Physics


Advances In Imaging And Electron Physics
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Author : Peter W. Hawkes
language : en
Publisher: Elsevier
Release Date : 2003-12-02

Advances In Imaging And Electron Physics written by Peter W. Hawkes and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-02 with Technology & Engineering categories.


The subjects reviewed in the 'Advances' series cover a broad range of themes including microscopy, electromagnetic fields and image coding. Volume 128 concentrates on regularization, a vital aspect of restoration on low voltage scanning electron microscopy.This Book looks at theory and it's application in a practical sense, with a full account of the methods used and realistic detailed application. The authors do this by examining the latest developments, historic illustrations and mathematical fundamentals of the exciting developments in imaging and applying them to realistic practical situationsThe text bridges the gap between academic researchers and R&D designers by addressing and solving daily issues, which makes this book essential reading.·Emphasizes broad and in depth article collaborations between world-renowned scientists in the field of image and electron physics·Presents theory and it's application in a practical sense, providing long awaited solutions and new findings·Bridges the gap between academic researchers and practitioners in industry