Numerical Methods For The Solution Of Ill Posed Problems
DOWNLOAD
Download Numerical Methods For The Solution Of Ill Posed Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Numerical Methods For The Solution Of Ill Posed 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
Numerical Methods For The Solution Of Ill Posed Problems
DOWNLOAD
Author : A.N. Tikhonov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Numerical Methods For The Solution Of Ill Posed Problems written by A.N. Tikhonov 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 2013-03-09 with Mathematics categories.
Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.
Numerical Methods For The Solution Of Ill Posed Problems
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1977
Numerical Methods For The Solution Of Ill Posed Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Computational Methods For Inverse Problems
DOWNLOAD
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.
Inverse And Ill Posed Problems
DOWNLOAD
Author : Heinz W. Engl
language : en
Publisher:
Release Date : 1987
Inverse And Ill Posed Problems written by Heinz W. Engl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Inverse and Ill-Posed Problems.
Numerical Methods For Solving Inverse Problems Of Mathematical Physics
DOWNLOAD
Author : A. A. Samarskii
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-27
Numerical Methods For Solving Inverse Problems Of Mathematical Physics written by A. A. Samarskii 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 2008-08-27 with Mathematics categories.
The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.
Numerical Methods For Solving Inverse Problems Of Mathematical Physics
DOWNLOAD
Author : Aleksandr Andreevich Samarskiĭ
language : en
Publisher: Walter de Gruyter
Release Date : 2007
Numerical Methods For Solving Inverse Problems Of Mathematical Physics written by Aleksandr Andreevich Samarskiĭ 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 2007 with Mathematics categories.
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Well Posed Ill Posed And Intermediate Problems With Applications
DOWNLOAD
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.
Rank Deficient And Discrete Ill Posed Problems
DOWNLOAD
Author : Per Christian Hansen
language : en
Publisher: SIAM
Release Date : 1998-01-01
Rank Deficient And Discrete Ill Posed Problems written by Per Christian Hansen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
Here is an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, tomography, seismology, astronomy, and other areas. Rank-deficient problems involve matrices that are either exactly or nearly rank deficient. Such problems often arise in connection with noise suppression and other problems where the goal is to suppress unwanted disturbances of the given measurements. Discrete ill-posed problems arise in connection with the numerical treatment of inverse problems, where one typically wants to compute information about some interior properties using exterior measurements. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data. This book describes, in a common framework, new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and on the efficiency and reliability of the computations. The setting is that of numerical linear algebra rather than abstract functional analysis, and the theoretical development is complemented with numerical examples and figures that illustrate the features of the various algorithms.
Numerical Methods For Inverse Problems
DOWNLOAD
Author : Michel Kern
language : en
Publisher: John Wiley & Sons
Release Date : 2016-03-31
Numerical Methods For Inverse Problems written by Michel Kern 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 2016-03-31 with Mathematics categories.
This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications. This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.
Solutions Of Ill Posed Problems
DOWNLOAD
Author : Andreĭ Nikolaevich Tikhonov
language : en
Publisher: Winston Publishing
Release Date : 1977
Solutions Of Ill Posed Problems written by Andreĭ Nikolaevich Tikhonov and has been published by Winston Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.