Regularization Theory for Ill-posed Problems: Selected Topics, Shuai Lu, Sergei V. Pereverzev
Автор: Michel Thera; Rainer Tichatschke Название: Ill-posed Variational Problems and Regularization Techniques ISBN: 3540663231 ISBN-13(EAN): 9783540663232 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Developments in the field of ill-posed variational problems and variational inequalities are presented here. The work covers a large range of theoretical, numerical and practical aspects.
Автор: S.F. Gilyazov; N.L. Gol`dman Название: Regularization of Ill-Posed Problems by Iteration Methods ISBN: 0792361318 ISBN-13(EAN): 9780792361312 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems.
Автор: S.F. Gilyazov; N.L. Gol`dman Название: Regularization of Ill-Posed Problems by Iteration Methods ISBN: 9048153824 ISBN-13(EAN): 9789048153824 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems.
Автор: Heinz Werner Engl; Martin Hanke; A. Neubauer Название: Regularization of Inverse Problems ISBN: 0792341570 ISBN-13(EAN): 9780792341574 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Offers an overview over some classes of inverse problems. This book deals with the mathematical theory of regularization methods and gives an account of the results about regularization methods both for linear and for nonlinear ill-posed problems. It considers both continuous and iterative regularization methods.
Автор: Adrian Doicu; Thomas Trautmann; Franz Schreier Название: Numerical Regularization for Atmospheric Inverse Problems ISBN: 3642424015 ISBN-13(EAN): 9783642424014 Издательство: Springer Рейтинг: Цена: 174130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Written by brilliant mathematicians, this research monograph presents and analyzes numerical algorithms for atmospheric retrieval, pulling together all the relevant material in a consistent, very powerful manner.
Автор: Flemming Название: Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization ISBN: 3319952633 ISBN-13(EAN): 9783319952635 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book collects and contributes new results on the theory and practice of ill-posed inverse problems. The new methods are applied to a difficult inverse problem from laser optics.Sparsity promoting regularization is examined in detail from a Banach space point of view.
Автор: Michael S. Zhdanov Название: Geophysical Inverse Theory and Regularization Problems,36 ISBN: 0444626743 ISBN-13(EAN): 9780444626745 Издательство: Elsevier Science Рейтинг: Цена: 233560.00 T Наличие на складе: Поставка под заказ. Описание: Geophysical Inverse Theory and Applications, Second Edition, brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. It’s the first book of its kind to treat many kinds of inversion and imaging techniques in a unified mathematical manner. . The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. Unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, it represents an exhaustive treatise on inversion theory. Written by one of the world’s foremost experts, this work is widely recognized as the ultimate researcher’s reference on geophysical inverse theory and its practical scientific applications.
Автор: Thomas Schuster, Barbara Kaltenbacher, Bernd Hofmann, Kamil S. Kazimierski Название: Regularization Methods in Banach Spaces ISBN: 3112204506 ISBN-13(EAN): 9783112204504 Издательство: Walter de Gruyter Цена: 210690.00 T Наличие на складе: Невозможна поставка. Описание: Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Usually the mathematical model of an inverse problem consists of an operator equation of the first kind and often the associated forward operator acts between Hilbert spaces. However, for numerous problems the reasons for using a Hilbert space setting seem to be based rather on conventions than on an approprimate and realistic model choice, so often a Banach space setting would be closer to reality. Furthermore, sparsity constraints using general Lp-norms or the BV-norm have recently become very popular. Meanwhile the most well-known methods have been investigated for linear and nonlinear operator equations in Banach spaces. Motivated by these facts the authors aim at collecting and publishing these results in a monograph.
Автор: Thomas Schuster, Barbara Kaltenbacher, Bernd Hofmann, Kamil S. Kazimierski Название: Regularization Methods in Banach Spaces ISBN: 3110255243 ISBN-13(EAN): 9783110255249 Издательство: Walter de Gruyter Цена: 161100.00 T Наличие на складе: Невозможна поставка. Описание: 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 Gau?-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.
Автор: Javier Roa Название: Regularization in Orbital Mechanics: Theory and Practice ISBN: 3110558556 ISBN-13(EAN): 9783110558555 Издательство: Walter de Gruyter Цена: 140090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Regularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems. This monograph discusses standard techniques and recent research in the area. While each scheme is derived analytically, its accuracy is investigated numerically. Algebraic and topological aspects of the formulations are studied, as well as their application to practical scenarios such as spacecraft relative motion and new low-thrust trajectories.
Zeta regularization is a method to treat the divergent quantities appearing in several areas of mathematical physics and, in particular, in quantum field theory; it is based on the fascinating idea that a finite value can be ascribed to a formally divergent expression via analytic continuation with respect to a complex regulating parameter.
This book provides a thorough overview of zeta regularization for the vacuum expectation values of the most relevant observables of a quantized, neutral scalar field in Minkowski spacetime; the field can be confined to a spatial domain, with suitable boundary conditions, and an external potential is possibly present. Zeta regularization is performed in this framework for both local and global observables, like the stress-energy tensor and the total energy; the analysis of their vacuum expectation values accounts for the Casimir physics of the system. The analytic continuation process required in this setting by zeta regularization is deeply linked to some integral kernels; these are determined by the fundamental elliptic operator appearing in the evolution equation for the quantum field. The book provides a systematic illustration of these connections, devised as a toolbox for explicit computations in specific configurations; many examples are presented. A comprehensive account is given of the existing literature on this subject, including the previous work of the authors.
The book will be useful to anyone interested in a mathematically sound description of quantum vacuum effects, from graduate students to scientists working in this area.
Автор: Hebert Montegranario; Jairo Espinosa Название: Variational Regularization of 3D Data ISBN: 1493905325 ISBN-13(EAN): 9781493905324 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Variational Regularization of 3D Data provides an introduction to variational methods for data modelling and its application in computer vision.
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