INVERSE BORN SERIES FOR SCALAR WAVES
We consider the inverse scattering problem for scalar waves. We analyze the conver- gence of the inverse Born series and study its use in numerical simulations for the case of a spherically-symmetric medium in two and three dimensions.
Gespeichert in:
Veröffentlicht in: | Journal of computational mathematics 2012-11, Vol.30 (6), p.601-614 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 614 |
---|---|
container_issue | 6 |
container_start_page | 601 |
container_title | Journal of computational mathematics |
container_volume | 30 |
creator | Kilgore, Kimberly Moskow, Shari Schotland, John C. |
description | We consider the inverse scattering problem for scalar waves. We analyze the conver- gence of the inverse Born series and study its use in numerical simulations for the case of a spherically-symmetric medium in two and three dimensions. |
doi_str_mv | 10.4208/jcm.1205-m3935 |
format | Article |
fullrecord | <record><control><sourceid>jstor_cross</sourceid><recordid>TN_cdi_crossref_primary_10_4208_jcm_1205_m3935</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cqvip_id>44692103</cqvip_id><jstor_id>43693726</jstor_id><sourcerecordid>43693726</sourcerecordid><originalsourceid>FETCH-LOGICAL-c327t-d711e93519ebc14fa2e00bf14db2fa7d2fe06354ec197eecd2273ec3659a36be3</originalsourceid><addsrcrecordid>eNpFj0FPg0AQhTdGE7F69WaCiVdwZmdh3SM2VJs0JQGtxw0su7VEikIv_nupbfQ0h_e9N_kYu0YIBYeH-8a0IXKIgpYURSfMQ6UwkEjqlHnAIxEoAeqcXQxDAwDEhfTY3Xy5SvMi9R-zfOkXaT5PC3-W5X4xTRZJ7r8lq7S4ZGeu_Bjs1fFO2OssfZk-B4vsaT5ygSEud0EtEe34GpWtDApXcgtQORR1xV0pa-4sxBQJa1BJa03NuSRrKI5USXFlacLCw67pu2HordOf_aYt-2-NoPeOenTUe0f96zgWbg6FZth1_R8tKFYkeTzmt8fB9267_tps1_-MiBVHIPoBolJV5A</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>INVERSE BORN SERIES FOR SCALAR WAVES</title><source>JSTOR Mathematics & Statistics</source><source>Jstor Complete Legacy</source><creator>Kilgore, Kimberly ; Moskow, Shari ; Schotland, John C.</creator><creatorcontrib>Kilgore, Kimberly ; Moskow, Shari ; Schotland, John C.</creatorcontrib><description>We consider the inverse scattering problem for scalar waves. We analyze the conver- gence of the inverse Born series and study its use in numerical simulations for the case of a spherically-symmetric medium in two and three dimensions.</description><identifier>ISSN: 0254-9409</identifier><identifier>EISSN: 1991-7139</identifier><identifier>DOI: 10.4208/jcm.1205-m3935</identifier><language>eng</language><publisher>Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences</publisher><subject>Coefficients ; Fourier coefficients ; Inhomogeneity ; Inverse problems ; Inverse scattering ; Scalars ; Series convergence ; Series expansion ; Tensors ; 介质 ; 数值模拟 ; 标量波 ; 波动方程 ; 球对称 ; 逆散射问题</subject><ispartof>Journal of computational mathematics, 2012-11, Vol.30 (6), p.601-614</ispartof><rights>Copyright 2012 AMSS, Chinese Academy of Sciences</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c327t-d711e93519ebc14fa2e00bf14db2fa7d2fe06354ec197eecd2273ec3659a36be3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/85761X/85761X.jpg</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/43693726$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/43693726$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,778,782,801,830,27907,27908,58000,58004,58233,58237</link.rule.ids></links><search><creatorcontrib>Kilgore, Kimberly</creatorcontrib><creatorcontrib>Moskow, Shari</creatorcontrib><creatorcontrib>Schotland, John C.</creatorcontrib><title>INVERSE BORN SERIES FOR SCALAR WAVES</title><title>Journal of computational mathematics</title><addtitle>Journal of Computational Mathematics</addtitle><description>We consider the inverse scattering problem for scalar waves. We analyze the conver- gence of the inverse Born series and study its use in numerical simulations for the case of a spherically-symmetric medium in two and three dimensions.</description><subject>Coefficients</subject><subject>Fourier coefficients</subject><subject>Inhomogeneity</subject><subject>Inverse problems</subject><subject>Inverse scattering</subject><subject>Scalars</subject><subject>Series convergence</subject><subject>Series expansion</subject><subject>Tensors</subject><subject>介质</subject><subject>数值模拟</subject><subject>标量波</subject><subject>波动方程</subject><subject>球对称</subject><subject>逆散射问题</subject><issn>0254-9409</issn><issn>1991-7139</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNpFj0FPg0AQhTdGE7F69WaCiVdwZmdh3SM2VJs0JQGtxw0su7VEikIv_nupbfQ0h_e9N_kYu0YIBYeH-8a0IXKIgpYURSfMQ6UwkEjqlHnAIxEoAeqcXQxDAwDEhfTY3Xy5SvMi9R-zfOkXaT5PC3-W5X4xTRZJ7r8lq7S4ZGeu_Bjs1fFO2OssfZk-B4vsaT5ygSEud0EtEe34GpWtDApXcgtQORR1xV0pa-4sxBQJa1BJa03NuSRrKI5USXFlacLCw67pu2HordOf_aYt-2-NoPeOenTUe0f96zgWbg6FZth1_R8tKFYkeTzmt8fB9267_tps1_-MiBVHIPoBolJV5A</recordid><startdate>20121101</startdate><enddate>20121101</enddate><creator>Kilgore, Kimberly</creator><creator>Moskow, Shari</creator><creator>Schotland, John C.</creator><general>Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20121101</creationdate><title>INVERSE BORN SERIES FOR SCALAR WAVES</title><author>Kilgore, Kimberly ; Moskow, Shari ; Schotland, John C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-d711e93519ebc14fa2e00bf14db2fa7d2fe06354ec197eecd2273ec3659a36be3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Coefficients</topic><topic>Fourier coefficients</topic><topic>Inhomogeneity</topic><topic>Inverse problems</topic><topic>Inverse scattering</topic><topic>Scalars</topic><topic>Series convergence</topic><topic>Series expansion</topic><topic>Tensors</topic><topic>介质</topic><topic>数值模拟</topic><topic>标量波</topic><topic>波动方程</topic><topic>球对称</topic><topic>逆散射问题</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kilgore, Kimberly</creatorcontrib><creatorcontrib>Moskow, Shari</creatorcontrib><creatorcontrib>Schotland, John C.</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><jtitle>Journal of computational mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kilgore, Kimberly</au><au>Moskow, Shari</au><au>Schotland, John C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>INVERSE BORN SERIES FOR SCALAR WAVES</atitle><jtitle>Journal of computational mathematics</jtitle><addtitle>Journal of Computational Mathematics</addtitle><date>2012-11-01</date><risdate>2012</risdate><volume>30</volume><issue>6</issue><spage>601</spage><epage>614</epage><pages>601-614</pages><issn>0254-9409</issn><eissn>1991-7139</eissn><abstract>We consider the inverse scattering problem for scalar waves. We analyze the conver- gence of the inverse Born series and study its use in numerical simulations for the case of a spherically-symmetric medium in two and three dimensions.</abstract><pub>Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences</pub><doi>10.4208/jcm.1205-m3935</doi><tpages>14</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0254-9409 |
ispartof | Journal of computational mathematics, 2012-11, Vol.30 (6), p.601-614 |
issn | 0254-9409 1991-7139 |
language | eng |
recordid | cdi_crossref_primary_10_4208_jcm_1205_m3935 |
source | JSTOR Mathematics & Statistics; Jstor Complete Legacy |
subjects | Coefficients Fourier coefficients Inhomogeneity Inverse problems Inverse scattering Scalars Series convergence Series expansion Tensors 介质 数值模拟 标量波 波动方程 球对称 逆散射问题 |
title | INVERSE BORN SERIES FOR SCALAR WAVES |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T00%3A58%3A25IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=INVERSE%20BORN%20SERIES%20FOR%20SCALAR%20WAVES&rft.jtitle=Journal%20of%20computational%20mathematics&rft.au=Kilgore,%20Kimberly&rft.date=2012-11-01&rft.volume=30&rft.issue=6&rft.spage=601&rft.epage=614&rft.pages=601-614&rft.issn=0254-9409&rft.eissn=1991-7139&rft_id=info:doi/10.4208/jcm.1205-m3935&rft_dat=%3Cjstor_cross%3E43693726%3C/jstor_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_cqvip_id=44692103&rft_jstor_id=43693726&rfr_iscdi=true |