The Theory Of Tikhonov Regularization For Fredholm Equations Of The First Kind
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The Theory Of Tikhonov Regularization For Fredholm Equations Of The First Kind
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Author : C. W. Groetsch
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1984
The Theory Of Tikhonov Regularization For Fredholm Equations Of The First Kind written by C. W. Groetsch and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Information Computing And Applications Part Ii
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Author : Rongbo Zhu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-27
Information Computing And Applications Part Ii written by Rongbo Zhu 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 2010-09-27 with Computers categories.
This volume contains the proceedings of the International Conference on Inf- mation Computing and Applications (ICICA 2010), which was held in Tangshan, China, October 15-18, 2010. As future-generation information technology, information computing and applications become specialized, information computing and applications - cluding hardware, software, communications and networks are growing with ever-increasing scale and heterogeneity and becoming overly complex. The c- plexity is getting more critical along with the growing applications. To cope with the growing and computing complexity, information computing and applications focus on intelligent, selfmanageable, scalable computing systems and applications to the maximum extent possible without human intervention or guidance. With the rapid development of information science and technology, infor- tion computing has become the third approach of science research. Information computing and applications is the ?eld of study concerned with constructing - telligent computing, mathematical models, numerical solution techniques and using computers to analyze and solve natural scienti?c, social scienti?c and engineering problems. In practical use, it is typically the application of c- puter simulation, intelligent computing, internet computing, pervasive comp- ing, scalable computing, trusted computing, autonomy-oriented computing, evolutionary computing, mobile computing, computational statistics, engine- ing computing, multimedia networking and computing, applications and other forms of computation problems in various scienti?c disciplines and engine- ing. Information computing and applications is an important underpinning for techniques used in information and computational science and there are many unresolved problems that address worth studying.
Theory Of Tikhonov Regularization For Fredholm Equations Of The First Kind
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Author : C. W. Groetsch
language : en
Publisher: Longman Sc & Tech
Release Date : 1986-05-01
Theory Of Tikhonov Regularization For Fredholm Equations Of The First Kind written by C. W. Groetsch and has been published by Longman Sc & Tech this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-05-01 with Mathematics categories.
Linear Integral Equations
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Author : Rainer Kress
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-04
Linear Integral Equations written by Rainer Kress 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 2013-12-04 with Mathematics categories.
This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math. Reviews, 2000) "This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract." (ZbMath, 1999)
Regularization Methods In Banach Spaces
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Author : Thomas Schuster
language : en
Publisher: Walter de Gruyter
Release Date : 2012-07-30
Regularization Methods In Banach Spaces written by Thomas Schuster 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 2012-07-30 with Mathematics categories.
Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial need for stable and efficient solvers for this kind of problems as well as for a rigorous convergence analysis of these methods. This monograph consists of five parts. Part I motivates the importance of developing and analyzing regularization methods in Banach spaces by presenting four applications which intrinsically demand for a Banach space setting and giving a brief glimpse of sparsity constraints. Part II summarizes all mathematical tools that are necessary to carry out an analysis in Banach spaces. Part III represents the current state-of-the-art concerning Tikhonov regularization in Banach spaces. Part IV about iterative regularization methods is concerned with linear operator equations and the iterative solution of nonlinear operator equations by gradient type methods and the iteratively regularized Gauß-Newton method. Part V finally outlines the method of approximate inverse which is based on the efficient evaluation of the measured data with reconstruction kernels.
Handbook Of Analytic Computational Methods In Applied Mathematics
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Author : George Anastassiou
language : en
Publisher: CRC Press
Release Date : 2019-06-03
Handbook Of Analytic Computational Methods In Applied Mathematics written by George Anastassiou and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-03 with Mathematics categories.
Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f
The Mollification Method And The Numerical Solution Of Ill Posed Problems
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Author : Diego A. Murio
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-29
The Mollification Method And The Numerical Solution Of Ill Posed Problems written by Diego A. Murio and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-29 with Mathematics categories.
Uses a strong computational and truly interdisciplinary treatment to introduce applied inverse theory. The author created the Mollification Method as a means of dealing with ill-posed problems. Although the presentation focuses on problems with origins in mechanical engineering, many of the ideas and techniques can be easily applied to a broad range of situations.
Regularization Of Inverse Problems
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Author : Heinz Werner Engl
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-03-31
Regularization Of Inverse Problems written by Heinz Werner Engl 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 2000-03-31 with Mathematics categories.
This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.
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
Inverse Problems
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Author : Giorgio Talenti
language : en
Publisher: Springer
Release Date : 2006-11-14
Inverse Problems written by Giorgio Talenti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.