Ill-Posed Problems: Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 1994)

Recent years have been characterized by the increasing amountofpublications in the field ofso-called ill-posed problems. This is easilyunderstandable because we observe the rapid progress of a relatively young branch ofmathematics, ofwhich the first results date back to about 30 years ago. By now, impressive results have been achieved both in the theory ofsolving ill-posed problems and in the applicationsofalgorithms using modem computers. To mention just one field, one can name the computer tomography which could not possibly have been developed without modem tools for solving ill-posed problems. When writing this book, the authors tried to define the place and role of ill posed problems in modem mathematics. In a few words, we define the theory of ill-posed problems as the theory of approximating functions with approximately given arguments in functional spaces. The difference between well-posed and ill posed problems is concerned with the fact that the latter are associated with discontinuous functions. This approach is followed by the authors throughout the whole book. We hope that the theoretical results will be of interest to researchers working in approximation theory and functional analysis. As for particular algorithms for solving ill-posed problems, the authors paid general attention to the principles ofconstructing such algorithms as the methods for approximating discontinuous functions with approximately specified arguments. In this way it proved possible to define the limits of applicability of regularization techniques."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 301
Release date:	October 2012
First published:	1994
Authors:	A. Bakushinsky • A. Goncharsky
Dimensions:	240 x 160 x 14mm (L x W x T)
Format:	Paperback
Pages:	258
Edition:	Softcover reprint of the original 1st ed. 1994
ISBN-13:	978-9401044479
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Earth & environment > Earth sciences > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Optimization > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	9401044473
Barcode:	9789401044479

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