Inverse Acoustic and Electromagnetic Scattering Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1992
|
| Schriftenreihe: | Applied Mathematical Sciences
93 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 attempt to write such a monograph. The inverse scattering problem for acoustic and electromagnetic waves can broadly be divided into two classes, the inverse obstacle problem and the inverse medium problem |
| Beschreibung: | 1 Online-Ressource (X, 307 p) |
| ISBN: | 9783662028353 9783662028377 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-3-662-02835-3 |
Internformat
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| 500 | |a 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 attempt to write such a monograph. The inverse scattering problem for acoustic and electromagnetic waves can broadly be divided into two classes, the inverse obstacle problem and the inverse medium problem | ||
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Datensatz im Suchindex
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| author | Colton, David |
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| author_sort | Colton, David |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-02835-3 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662028353 9783662028377 |
| issn | 0066-5452 |
| language | English |
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| spelling | Colton, David Verfasser aut Inverse Acoustic and Electromagnetic Scattering Theory by David Colton, Rainer Kress Berlin, Heidelberg Springer Berlin Heidelberg 1992 1 Online-Ressource (X, 307 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 93 0066-5452 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 attempt to write such a monograph. The inverse scattering problem for acoustic and electromagnetic waves can broadly be divided into two classes, the inverse obstacle problem and the inverse medium problem Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Inverses Streuproblem (DE-588)4027547-4 gnd rswk-swf Schallwelle (DE-588)4191490-9 gnd rswk-swf Elektromagnetische Welle (DE-588)4014301-6 gnd rswk-swf Schallwelle (DE-588)4191490-9 s Inverses Streuproblem (DE-588)4027547-4 s 1\p DE-604 Elektromagnetische Welle (DE-588)4014301-6 s 2\p DE-604 Kress, Rainer Sonstige oth https://doi.org/10.1007/978-3-662-02835-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Colton, David Inverse Acoustic and Electromagnetic Scattering Theory Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Inverses Streuproblem (DE-588)4027547-4 gnd Schallwelle (DE-588)4191490-9 gnd Elektromagnetische Welle (DE-588)4014301-6 gnd |
| subject_GND | (DE-588)4027547-4 (DE-588)4191490-9 (DE-588)4014301-6 |
| title | Inverse Acoustic and Electromagnetic Scattering Theory |
| title_auth | Inverse Acoustic and Electromagnetic Scattering Theory |
| title_exact_search | Inverse Acoustic and Electromagnetic Scattering Theory |
| title_full | Inverse Acoustic and Electromagnetic Scattering Theory by David Colton, Rainer Kress |
| title_fullStr | Inverse Acoustic and Electromagnetic Scattering Theory by David Colton, Rainer Kress |
| title_full_unstemmed | Inverse Acoustic and Electromagnetic Scattering Theory by David Colton, Rainer Kress |
| title_short | Inverse Acoustic and Electromagnetic Scattering Theory |
| title_sort | inverse acoustic and electromagnetic scattering theory |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Inverses Streuproblem (DE-588)4027547-4 gnd Schallwelle (DE-588)4191490-9 gnd Elektromagnetische Welle (DE-588)4014301-6 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Inverses Streuproblem Schallwelle Elektromagnetische Welle |
| url | https://doi.org/10.1007/978-3-662-02835-3 |
| work_keys_str_mv | AT coltondavid inverseacousticandelectromagneticscatteringtheory AT kressrainer inverseacousticandelectromagneticscatteringtheory |