A qualitative approach to inverse scattering theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2014
|
| Series: | Applied Mathematical Sciences
188 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781461488279 |
| DOI: | 10.1007/978-1-4614-8827-9 |
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Record in the Search Index
| _version_ | 1804151630763917312 |
|---|---|
| adam_text | A QUALITATIVE APPROACH TO INVERSE SCATTERING THEORY
/ CAKONI, FIORALBA
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. FUNCTIONAL ANALYSIS AND SOBOLEV SPACES
2. ILL-POSED PROBLEMS
3. SCATTERING BY IMPERFECT CONDUCTORS
4. INVERSE SCATTERING PROBLEMS FOR IMPERFECT CONDUCTORS
5. SCATTERING BY ORTHOTROPIC MEDIA
6. INVERSE SCATTERING PROBLEMS FOR ORTHOTROPIC MEDIA
7. FACTORIZATION METHODS
8. MIXED BOUNDARY VALUE PROBLEMS
9. INVERSE SPECTRAL PROBLEMS FOR TRANSMISSION EIGENVALUES
10. A GLIMPSE AT MAXWELL S EQUATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
A QUALITATIVE APPROACH TO INVERSE SCATTERING THEORY
/ CAKONI, FIORALBA
: 2014
ABSTRACT / INHALTSTEXT
INVERSE SCATTERING THEORY IS AN IMPORTANT AREA OF APPLIED MATHEMATICS
DUE TO ITS CENTRAL ROLE IN SUCH AREAS AS MEDICAL IMAGING ,
NONDESTRUCTIVE TESTING AND GEOPHYSICAL EXPLORATION. UNTIL RECENTLY ALL
EXISTING ALGORITHMS FOR SOLVING INVERSE SCATTERING PROBLEMS WERE BASED
ON USING EITHER A WEAK SCATTERING ASSUMPTION OR ON THE USE OF NONLINEAR
OPTIMIZATION TECHNIQUES. THE LIMITATIONS OF THESE METHODS HAVE LED IN
RECENT YEARS TO AN ALTERNATIVE APPROACH TO THE INVERSE SCATTERING
PROBLEM WHICH AVOIDS THE INCORRECT MODEL ASSUMPTIONS INHERENT IN THE USE
OF WEAK SCATTERING APPROXIMATIONS AS WELL AS THE STRONG A PRIORI
INFORMATION NEEDED IN ORDER TO IMPLEMENT NONLINEAR OPTIMIZATION
TECHNIQUES.THESE NEW METHODS COME UNDER THE GENERAL TITLE OF QUALITATIVE
METHODS IN INVERSE SCATTERING THEORY AND SEEK TO DETERMINE AN
APPROXIMATION TO THE SHAPE OF THE SCATTERING OBJECT AS WELL AS ESTIMATES
ON ITS MATERIAL PROPERTIES WITHOUT MAKING ANY WEAK SCATTERING ASSUMPTION
AND USING ESSENTIALLY NO A PRIORI INFORMATION ON THE NATURE OF THE
SCATTERING OBJECT. THIS BOOK IS DESIGNED TO BE AN INTRODUCTION TO THIS
NEW APPROACH IN INVERSE SCATTERING THEORY FOCUSING ON THE USE OF
SAMPLING METHODS AND TRANSMISSION EIGENVALUES. IN ORDER TO AID THE
READER COMING FROM A DISCIPLINE OUTSIDE OF MATHEMATICS WE HAVE INCLUDED
BACKGROUND MATERIAL ON FUNCTIONAL ANALYSIS, SOBOLEV SPACES, THE THEORY
OF ILL POSED PROBLEMS AND CERTAIN TOPICS IN IN THE THEORY OF ENTIRE
FUNCTIONS OF A COMPLEX VARIABLE.THIS BOOK IS AN UPDATED AND EXPANDED
VERSION OF AN EARLIER BOOK BY THE AUTHORS PUBLISHED BY SPRINGER TITLED
QUALITATIVE METHODS IN INVERSE SCATTERING THEORY REVIEW OF QUALITATIVE
METHODS IN INVERSE SCATTERING THEORY ALL IN ALL, THE AUTHORS DO
EXCEPTIONALLY WELL IN COMBINING SUCH A WIDE VARIETY OF MATHEMATICAL
MATERIAL AND IN PRESENTING IT IN A WELL-ORGANIZED AND EASY-TO-FOLLOW
FASHION. THIS TEXT CERTAINLY COMPLEMENTS THE GROWING BODY OF WORK IN
INVERSE SCATTERING AND SHOULD WELL SUIT BOTH NEW RESEARCHERS TO THE
FIELD AS WELL AS THOSE WHO COULD BENEFIT FROM SUCH A NICE CODIFIED
COLLECTION OF PROFITABLE RESULTS COMBINED IN ONE BOUND VOLUME. SIAM
REVIEW, 2006
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | Cakoni, Fioralba Verfasser aut A qualitative approach to inverse scattering theory Fioralba Cakoni ; David Colton New York [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 188 Mathematik Fourier analysis Differential equations, partial Computer engineering Mathematics Inverse Streutheorie (DE-588)4561758-2 gnd rswk-swf Inverse Streutheorie (DE-588)4561758-2 s DE-604 Colton, David 1943- Sonstige (DE-588)115774173 oth Erscheint auch als Druckausgabe 978-1-4614-8826-2 Applied Mathematical Sciences 188 (DE-604)BV040244599 188 https://doi.org/10.1007/978-1-4614-8827-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026931248&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026931248&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Cakoni, Fioralba A qualitative approach to inverse scattering theory Applied Mathematical Sciences Mathematik Fourier analysis Differential equations, partial Computer engineering Mathematics Inverse Streutheorie (DE-588)4561758-2 gnd |
| subject_GND | (DE-588)4561758-2 |
| title | A qualitative approach to inverse scattering theory |
| title_auth | A qualitative approach to inverse scattering theory |
| title_exact_search | A qualitative approach to inverse scattering theory |
| title_full | A qualitative approach to inverse scattering theory Fioralba Cakoni ; David Colton |
| title_fullStr | A qualitative approach to inverse scattering theory Fioralba Cakoni ; David Colton |
| title_full_unstemmed | A qualitative approach to inverse scattering theory Fioralba Cakoni ; David Colton |
| title_short | A qualitative approach to inverse scattering theory |
| title_sort | a qualitative approach to inverse scattering theory |
| topic | Mathematik Fourier analysis Differential equations, partial Computer engineering Mathematics Inverse Streutheorie (DE-588)4561758-2 gnd |
| topic_facet | Mathematik Fourier analysis Differential equations, partial Computer engineering Mathematics Inverse Streutheorie |
| url | https://doi.org/10.1007/978-1-4614-8827-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026931248&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026931248&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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