Point sources and multipoles in inverse scattering theory:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2001
|
Schriftenreihe: | Chapman & Hall CRC research notes in mathematics series
427 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 261 S. |
ISBN: | 1584882522 |
Internformat
MARC
LEADER | 00000nam a2200000 cb4500 | ||
---|---|---|---|
001 | BV014110621 | ||
003 | DE-604 | ||
005 | 20030725 | ||
007 | t | ||
008 | 020124s2001 |||| 00||| eng d | ||
020 | |a 1584882522 |9 1-58488-252-2 | ||
035 | |a (OCoLC)46240356 | ||
035 | |a (DE-599)BVBBV014110621 | ||
040 | |a DE-604 |b ger |e rakwb | ||
041 | 0 | |a eng | |
049 | |a DE-703 | ||
050 | 0 | |a QA377 | |
082 | 0 | |a 515/.353 |2 21 | |
084 | |a SI 880 |0 (DE-625)143209: |2 rvk | ||
100 | 1 | |a Potthast, Roland |e Verfasser |4 aut | |
245 | 1 | 0 | |a Point sources and multipoles in inverse scattering theory |c Roland Potthast |
264 | 1 | |a Boca Raton [u.a.] |b Chapman & Hall/CRC |c 2001 | |
300 | |a XI, 261 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Chapman & Hall CRC research notes in mathematics series |v 427 | |
650 | 4 | |a Inverse problems (Differential equations) | |
650 | 4 | |a Scattering (Mathematics) | |
650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Streutheorie |0 (DE-588)4183697-2 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Streutheorie |0 (DE-588)4183697-2 |D s |
689 | 0 | 1 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
689 | 0 | |5 DE-604 | |
830 | 0 | |a Chapman & Hall CRC research notes in mathematics series |v 427 |w (DE-604)BV012456897 |9 427 | |
856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667759&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-009667759 |
Datensatz im Suchindex
_version_ | 1804128978783436800 |
---|---|
adam_text | vii
Contents
1 Introduction and tools 1
1.1 A survey on inverse scattering theory 1
1.2 Basic definitions and tools 18
2 Direct scattering problems 39
2.1 Acoustic obstacle scattering 39
2.2 The inhomogeneous acoustic medium 60
2.3 Electromagnetic scattering by a perfect conductor 73
2.4 The electromagnetic inhomogeneous medium 86
2.5 Scattering by orthotropic media 93
2.6 Anisotropic electromagnetic media 106
3 Uniqueness and stability in inverse scattering 121
3.1 Acoustic scattering 122
3.2 Electromagnetic scattering 141
4 The case of finite data 151
4.1 Finite data in inverse acoustic scattering 152
4.2 Inverse electromagnetic scattering 168
5 The point source method and applications 171
5.1 Reconstruction of acoustic scatterers 172
5.2 Inverse electromagnetic scattering 179
5.3 Reconstruction of the boundary values of scattered fields . . 181
5.4 Convergence of a regularized Newton method 190
6 Singular sources and shape reconstruction 199
6.1 Acoustic scattering 199
6.2 Electromagnetic scattering 205
7 Linear sampling methods 207
7.1 The original linear sampling method 207
7.2 Spectral theory and a modified linear sampling method . . 219
7.3 Shape reconstruction for orthotropic media 225
7.4 Anisotropic electromagnetic media 238
References 249
Index 257
|
any_adam_object | 1 |
author | Potthast, Roland |
author_facet | Potthast, Roland |
author_role | aut |
author_sort | Potthast, Roland |
author_variant | r p rp |
building | Verbundindex |
bvnumber | BV014110621 |
callnumber-first | Q - Science |
callnumber-label | QA377 |
callnumber-raw | QA377 |
callnumber-search | QA377 |
callnumber-sort | QA 3377 |
callnumber-subject | QA - Mathematics |
classification_rvk | SI 880 |
ctrlnum | (OCoLC)46240356 (DE-599)BVBBV014110621 |
dewey-full | 515/.353 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.353 |
dewey-search | 515/.353 |
dewey-sort | 3515 3353 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01606nam a2200409 cb4500</leader><controlfield tag="001">BV014110621</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20030725 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020124s2001 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1584882522</subfield><subfield code="9">1-58488-252-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)46240356</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014110621</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA377</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.353</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 880</subfield><subfield code="0">(DE-625)143209:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Potthast, Roland</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Point sources and multipoles in inverse scattering theory</subfield><subfield code="c">Roland Potthast</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton [u.a.]</subfield><subfield code="b">Chapman & Hall/CRC</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 261 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Chapman & Hall CRC research notes in mathematics series</subfield><subfield code="v">427</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverse problems (Differential equations)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Scattering (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Streutheorie</subfield><subfield code="0">(DE-588)4183697-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Streutheorie</subfield><subfield code="0">(DE-588)4183697-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Chapman & Hall CRC research notes in mathematics series</subfield><subfield code="v">427</subfield><subfield code="w">(DE-604)BV012456897</subfield><subfield code="9">427</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667759&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009667759</subfield></datafield></record></collection> |
id | DE-604.BV014110621 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T18:57:50Z |
institution | BVB |
isbn | 1584882522 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009667759 |
oclc_num | 46240356 |
open_access_boolean | |
owner | DE-703 |
owner_facet | DE-703 |
physical | XI, 261 S. |
publishDate | 2001 |
publishDateSearch | 2001 |
publishDateSort | 2001 |
publisher | Chapman & Hall/CRC |
record_format | marc |
series | Chapman & Hall CRC research notes in mathematics series |
series2 | Chapman & Hall CRC research notes in mathematics series |
spelling | Potthast, Roland Verfasser aut Point sources and multipoles in inverse scattering theory Roland Potthast Boca Raton [u.a.] Chapman & Hall/CRC 2001 XI, 261 S. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall CRC research notes in mathematics series 427 Inverse problems (Differential equations) Scattering (Mathematics) Inverses Problem (DE-588)4125161-1 gnd rswk-swf Streutheorie (DE-588)4183697-2 gnd rswk-swf Streutheorie (DE-588)4183697-2 s Inverses Problem (DE-588)4125161-1 s DE-604 Chapman & Hall CRC research notes in mathematics series 427 (DE-604)BV012456897 427 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667759&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Potthast, Roland Point sources and multipoles in inverse scattering theory Chapman & Hall CRC research notes in mathematics series Inverse problems (Differential equations) Scattering (Mathematics) Inverses Problem (DE-588)4125161-1 gnd Streutheorie (DE-588)4183697-2 gnd |
subject_GND | (DE-588)4125161-1 (DE-588)4183697-2 |
title | Point sources and multipoles in inverse scattering theory |
title_auth | Point sources and multipoles in inverse scattering theory |
title_exact_search | Point sources and multipoles in inverse scattering theory |
title_full | Point sources and multipoles in inverse scattering theory Roland Potthast |
title_fullStr | Point sources and multipoles in inverse scattering theory Roland Potthast |
title_full_unstemmed | Point sources and multipoles in inverse scattering theory Roland Potthast |
title_short | Point sources and multipoles in inverse scattering theory |
title_sort | point sources and multipoles in inverse scattering theory |
topic | Inverse problems (Differential equations) Scattering (Mathematics) Inverses Problem (DE-588)4125161-1 gnd Streutheorie (DE-588)4183697-2 gnd |
topic_facet | Inverse problems (Differential equations) Scattering (Mathematics) Inverses Problem Streutheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667759&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV012456897 |
work_keys_str_mv | AT potthastroland pointsourcesandmultipolesininversescatteringtheory |