Inverse Problems in the Mathematical Sciences

Language: English

Published by Vieweg+Teubner Verlag, Www.Bnpublishing.Com Apr 2014, 2014

3322992047 / 9783322992048

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This item is printed on demand - Print on Demand Titel. Neuware -Classical applied mathematics is dominated by the Laplacian paradigm of known causes evolving continuously into uniquely determined effects. The classical direct problem is then to find the unique effect of a given cause by using the appropriate law of evolution. It is therefore no surprise that traditional teaching in mathema tics and the natural sciences emphasizes the point of view that problems have a solution, this solution is unique, and the solution is insensitive to small changes in the problem. Such problems are called well-posed and they typically arise from the so-called direct problems of natural science. The demands of science and technology have recently brought to the fore many problems that are inverse to the classical direct problems, that is, problems which may be interpreted as finding the cause of a given effect or finding the law of evolution given the cause and effect. Included among such problems are many questions of remote sensing or indirect measurement such as the determination of internal characteristics of an inaccessible region from measurements on its boundary, the determination of system parameters from input output measurements, and the reconstruction of past events from measurements of the present state. Inverse problems of this type are often ill-posed in the sense that distinct causes can account for the same effect and small changes in a perceived effect can correspond to very large changes in a given cause. Very frequently such inverse problems are modeled by integral equations of the first kind.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 164 pp. Englisch.…

Seller Inventory # 9783322992048

Title
Inverse Problems in the Mathematical Sciences
Author
Charles W. Groetsch
Publisher
Vieweg+Teubner Verlag, Www.Bnpublishing.Com Apr 2014
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3322992047
ISBN 13
9783322992048
Item weight
296 grams
Dimensions
244x170x10 mm

buchversandmimpf2000

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