Verfügbarkeit: A qualitative approach to inverse scattering theory

A qualitative approach to inverse scattering theory:

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Bibliographische Detailangaben
1. Verfasser:	Cakoni, Fioralba (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	New York [u.a.] Springer 2014
Schriftenreihe:	Applied Mathematical Sciences 188
Schlagworte:	Mathematik Fourier analysis Differential equations, partial Computer engineering Mathematics Inverse Streutheorie
Online-Zugang:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource
ISBN:	9781461488279
DOI:	10.1007/978-1-4614-8827-9

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Datensatz im Suchindex

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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
volume_link	(DE-604)BV040244599
work_keys_str_mv	AT cakonifioralba aqualitativeapproachtoinversescatteringtheory AT coltondavid aqualitativeapproachtoinversescatteringtheory

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