{"id":"https://openalex.org/W1967665304","doi":"https://doi.org/10.1137/s0036139993250580","title":"Reconstruction of Source and Medium Parameters via Wave-Splitting and Green Function Equations","display_name":"Reconstruction of Source and Medium Parameters via Wave-Splitting and Green Function Equations","publication_year":1996,"publication_date":"1996-08-01","ids":{"openalex":"https://openalex.org/W1967665304","doi":"https://doi.org/10.1137/s0036139993250580","mag":"1967665304"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139993250580","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139993250580","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Zhiming Sun","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhiming Sun","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.121,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83256989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"4","first_page":"1146","last_page":"1163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6414903402328491},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6269475817680359},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5875539779663086},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5604265332221985},{"id":"https://openalex.org/keywords/source-function","display_name":"Source function","score":0.5491504669189453},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5331404209136963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5254872441291809},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.48923730850219727},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4877251088619232},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46536993980407715},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.45205917954444885},{"id":"https://openalex.org/keywords/bar","display_name":"Bar (unit)","score":0.4382892847061157},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2996717095375061},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27177929878234863},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10608527064323425},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07112652063369751}],"concepts":[{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6414903402328491},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6269475817680359},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5875539779663086},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5604265332221985},{"id":"https://openalex.org/C2780187573","wikidata":"https://www.wikidata.org/wiki/Q3754592","display_name":"Source function","level":2,"score":0.5491504669189453},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5331404209136963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5254872441291809},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.48923730850219727},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4877251088619232},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46536993980407715},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.45205917954444885},{"id":"https://openalex.org/C188721877","wikidata":"https://www.wikidata.org/wiki/Q103510","display_name":"Bar (unit)","level":2,"score":0.4382892847061157},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2996717095375061},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27177929878234863},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10608527064323425},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07112652063369751},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139993250580","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139993250580","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1985297328","https://openalex.org/W1991883925","https://openalex.org/W1998745337","https://openalex.org/W2003747962","https://openalex.org/W2018075744","https://openalex.org/W2024262013","https://openalex.org/W2025078853","https://openalex.org/W2027538160","https://openalex.org/W2042843834","https://openalex.org/W2054474164","https://openalex.org/W2060094974","https://openalex.org/W2066040677","https://openalex.org/W2067287362","https://openalex.org/W2068485821","https://openalex.org/W2079560074","https://openalex.org/W2092579581","https://openalex.org/W2172650014","https://openalex.org/W3039083618"],"related_works":["https://openalex.org/W2288263127","https://openalex.org/W2293067204","https://openalex.org/W2293163042","https://openalex.org/W1980470275","https://openalex.org/W2343154456","https://openalex.org/W2156059855","https://openalex.org/W2367520939","https://openalex.org/W2080559286","https://openalex.org/W2017622585","https://openalex.org/W1985285898"],"abstract_inverted_index":{"This":[0],"paper":[1],"applies":[2],"the":[3,7,34,49,54,61,65,75,80],"time-domain":[4],"wave-splitting":[5],"and":[6,48,74,91],"Green":[8,39],"function":[9],"concepts":[10],"to":[11],"study":[12],"two":[13,28],"inverse":[14,29],"problems":[15,30],"involving":[16],"an":[17],"internal":[18],"transient":[19],"source":[20],"embedded":[21],"in":[22],"a":[23],"nondispersive":[24],"inhomogeneous":[25],"medium.":[26],"These":[27],"are":[31,94,99],"(1)":[32],"given":[33,64],"physical":[35],"one-way":[36],"travel":[37],"time":[38],"operator":[40],"kernel":[41,67],"$\\bar":[42,68],"G^":[43,69],"-":[44,70],"(":[45,71],"{0,t}":[46,72],")$":[47,59,73],"source-space":[50,81],"distribution":[51,82],"function,":[52,78],"reconstruct":[53],"wave-speed":[55,77],"profile":[56,83],"$c(":[57],"z":[58,85],"of":[60],"medium;":[62],"(2)":[63],"same":[66],"medium":[76],"recover":[79],"$p(":[84],")$.":[86],"Both":[87],"numerical":[88],"inversion":[89],"algorithms":[90],"approximate-reconstruction":[92],"formulas":[93],"presented.":[95],"Several":[96],"computational":[97],"examples":[98],"given.":[100]},"counts_by_year":[],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}