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Titlebook: Inverse Acoustic and Electromagnetic Scattering Theory; David Colton,Rainer Kress Book 19921st edition Springer-Verlag Berlin Heidelberg 1

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书目名称Inverse Acoustic and Electromagnetic Scattering Theory
编辑David Colton,Rainer Kress
视频video
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Inverse Acoustic and Electromagnetic Scattering Theory;  David Colton,Rainer Kress Book 19921st edition Springer-Verlag Berlin Heidelberg 1
描述It has now been almost ten years since our first book on scattering theory ap­ peared [32]. At that time we claimed that "in recent years the development of integral equation methods for the direct scattering problem seems to be nearing completion, whereas the use of such an approach to study the inverse scattering problem has progressed to an extent that a ‘state of the art‘ survey appears highly desirable". Since we wrote these words, the inverse scattering problem for acoustic and electromagnetic waves has grown from being a few theoreti­ cal considerations with limited numerical implementations to a weH developed mathematical theory with tested numerical algorithms. This maturing of the field of inverse scattering theory has been based on the realization that such problems are in general not only nonlinear but also improperly posed in the sense that the solution does not depend continuously on the measured data. This was emphasized in [32] and treated with the ideas and tools available at that time. Now, almost ten years later, these initial ideas have developed to the extent that a monograph summarizing the mathematical basis of the field seems appropriate. This book is oUf at
出版日期Book 19921st edition
关键词Helmholtz equation; acoustic waves; electromagnetic; electromagnetic wave; electromagnetic waves; inverse
版次1
doihttps://doi.org/10.1007/978-3-662-02835-3
isbn_ebook978-3-662-02835-3Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer-Verlag Berlin Heidelberg 1992
The information of publication is updating

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书目名称Inverse Acoustic and Electromagnetic Scattering Theory年度引用学科排名




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David Colton,Rainer Kress high emissions, have an extremely significant influence on global climate change in Chinese modern industrialization process. The technology of blast furnace low-temperature heat source refrigeration for cooling dehumidifying uses huge amount of waste heat during blast furnace iron making process a
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David Colton,Rainer Kressrt of water resources, but also are faced with serious water pollution and the shortage of water resources by studying the status of water resources. Meanwhile with the increasing of energy consumption in the worldwide, the price of fossil energy is more high and the pressure on prices is only growi
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Introduction,lete account of inverse scattering theory in a book of only a few hundred pages, particularly since before discussing the inverse problem we have to give the rudiments of the theory of the direct problem. Hence, instead of attempting the impossible, we have chosen to present inverse scattering theor
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Ill-Posed Problems,d be unique, and the solution should depend continuously on the data. The third postulate is motivated by the fact that in all applications the data will be measured quantities. Therefore, one wants to make sure that small errors in the data will cause only small errors in the solution. A problem sa
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