Well Posed Nonlinear Problems
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Well Posed Nonlinear Problems
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Author : Mircea Sofonea
language : en
Publisher: Springer Nature
Release Date : 2023-11-28
Well Posed Nonlinear Problems written by Mircea Sofonea and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-28 with Mathematics categories.
This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, inequality problems, and optimal control problems. Another unique feature of the manuscript is the unitary treatment of mathematical models of contact, for which new variational formulations and convergence results are presented. Well-Posed Nonlinear Problems will be a valuable resource for PhD students and researchers studying contact problems. It will also be accessible to interested researchers in related fields, such as physics, mechanics, engineering, and operations research.
Nonlinear Ill Posed Problems
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Author : A.N. Tikhonov
language : en
Publisher: Springer
Release Date : 1997-12-15
Nonlinear Ill Posed Problems written by A.N. Tikhonov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-15 with Mathematics categories.
Iterative Regularization Methods For Nonlinear Ill Posed Problems
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Author : Barbara Kaltenbacher
language : en
Publisher: Walter de Gruyter
Release Date : 2008-09-25
Iterative Regularization Methods For Nonlinear Ill Posed Problems written by Barbara Kaltenbacher 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 2008-09-25 with Mathematics categories.
Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.
Nonlinear Ill Posed Problems Of Monotone Type
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Author : Yakov Alber
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-23
Nonlinear Ill Posed Problems Of Monotone Type written by Yakov Alber 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 2006-02-23 with Mathematics categories.
Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.
Nonlinear Ill Posed Problems
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Author : A.N. Tikhonov
language : en
Publisher: Springer
Release Date : 1997-12-18
Nonlinear Ill Posed Problems written by A.N. Tikhonov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-18 with Mathematics categories.
Nonlinear Ill Posed Problems
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Author : Andreĭ Nikolaevich Tikhonov
language : en
Publisher:
Release Date : 1998
Nonlinear Ill Posed Problems written by Andreĭ Nikolaevich Tikhonov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Differential equations, Nonlinear categories.
Well Posedness And Convergence Of Some Regularization Methods For Nonlinear Ill Posed Problems
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Author : Thomas I. Seidman
language : en
Publisher:
Release Date : 1986
Well Posedness And Convergence Of Some Regularization Methods For Nonlinear Ill Posed Problems written by Thomas I. Seidman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Theory Of Linear Ill Posed Problems And Its Applications
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Author : Valentin K. Ivanov
language : en
Publisher: Walter de Gruyter
Release Date : 2013-02-18
Theory Of Linear Ill Posed Problems And Its Applications written by Valentin K. Ivanov 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 2013-02-18 with Mathematics categories.
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the book considers ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been made in the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.
Well Posed Optimization Problems
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Author : Assen L. Dontchev
language : en
Publisher: Springer
Release Date : 2006-11-15
Well Posed Optimization Problems written by Assen L. Dontchev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Science categories.
This book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems as well as applications to optimal control, calculus of variations and mathematical programming are considered. Both the pure and applied side of these topics are presented. The main subject is often introduced by heuristics, particular cases and examples. Complete proofs are provided. The expected knowledge of the reader does not extend beyond textbook (real and functional) analysis, some topology and differential equations and basic optimization. References are provided for more advanced topics. The book is addressed to mathematicians interested in optimization and related topics, and also to engineers, control theorists, economists and applied scientists who can find here a mathematical justification of practical procedures they encounter.
Dynamical Systems Method For Solving Nonlinear Operator Equations
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Author : Alexander G. Ramm
language : en
Publisher: Elsevier
Release Date : 2006-09-25
Dynamical Systems Method For Solving Nonlinear Operator Equations written by Alexander G. Ramm and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-25 with Mathematics categories.
Dynamical Systems Method for Solving Nonlinear Operator Equations is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially. The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are proved in the book, and some of the background material is also included. The results presented are mostly obtained by the author. Contains a systematic development of a novel general method, the dynamical systems method, DSM for solving operator equations, especially nonlinear and ill-posed Self-contained, suitable for wide audience Can be used for various courses for graduate students and partly for undergraduates (especially for RUE classes)