{"id":"https://openalex.org/W1588357514","doi":"https://doi.org/10.1023/a:1025380731197","title":"A Slowness Matching Eulerian Method for Multivalued Solutions of Eikonal Equations","display_name":"A Slowness Matching Eulerian Method for Multivalued Solutions of Eikonal Equations","publication_year":2003,"publication_date":"2003-09-19","ids":{"openalex":"https://openalex.org/W1588357514","doi":"https://doi.org/10.1023/a:1025380731197","mag":"1588357514"},"language":"en","primary_location":{"id":"doi:10.1023/a:1025380731197","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025380731197","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","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":"https://openalex.org/A5034636970","display_name":"William W. Symes","orcid":"https://orcid.org/0000-0001-6213-4272"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William W. Symes","raw_affiliation_strings":["The Rice Inversion Project, Department of Computational and Applied Mathematics, Rice University, Houston, Texas, 77005","The Rice Inversion Project, Department of Computational and Applied Mathematics, Rice University, Houston, Texas 77005. symes@caam.rice.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Rice Inversion Project, Department of Computational and Applied Mathematics, Rice University, Houston, Texas, 77005","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"The Rice Inversion Project, Department of Computational and Applied Mathematics, Rice University, Houston, Texas 77005. symes@caam.rice.edu#TAB#","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013248904","display_name":"Jianliang Qian","orcid":"https://orcid.org/0000-0003-3058-0096"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianliang Qian","raw_affiliation_strings":["Institute for Mathematics and Its Applications, University of Minnesota, 207 Church St. S.E., Minneapolis, Minnesota, 55455","Institute for Mathematics and Its Applications, University of Minnesota, 207 Church St. S.E., Minneapolis, Minnesota 55455. qian@ima.umn.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and Its Applications, University of Minnesota, 207 Church St. S.E., Minneapolis, Minnesota, 55455","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Institute for Mathematics and Its Applications, University of Minnesota, 207 Church St. S.E., Minneapolis, Minnesota 55455. qian@ima.umn.edu#TAB#","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.0972,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.94246164,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"19","issue":"1-3","first_page":"501","last_page":"526"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eikonal-equation","display_name":"Eikonal equation","score":0.9407728314399719},{"id":"https://openalex.org/keywords/paraxial-approximation","display_name":"Paraxial approximation","score":0.7447687387466431},{"id":"https://openalex.org/keywords/slowness","display_name":"Slowness","score":0.6639137268066406},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6617779731750488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6534807085990906},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6069085001945496},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48172667622566223},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4676157236099243},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4422452747821808},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37128332257270813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1977197825908661},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14539870619773865},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.09023401141166687}],"concepts":[{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.9407728314399719},{"id":"https://openalex.org/C56034020","wikidata":"https://www.wikidata.org/wiki/Q1071734","display_name":"Paraxial approximation","level":3,"score":0.7447687387466431},{"id":"https://openalex.org/C11940443","wikidata":"https://www.wikidata.org/wiki/Q16965645","display_name":"Slowness","level":2,"score":0.6639137268066406},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6617779731750488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6534807085990906},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6069085001945496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48172667622566223},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4676157236099243},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4422452747821808},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37128332257270813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1977197825908661},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14539870619773865},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.09023401141166687},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1025380731197","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025380731197","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320307925","display_name":"Hess Corporation","ror":"https://ror.org/00zbk1w77"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W153353184","https://openalex.org/W1532111732","https://openalex.org/W1558534137","https://openalex.org/W1680579736","https://openalex.org/W1786620475","https://openalex.org/W1963592695","https://openalex.org/W1969342675","https://openalex.org/W1971947347","https://openalex.org/W1975059575","https://openalex.org/W1977018860","https://openalex.org/W1977819408","https://openalex.org/W1991113069","https://openalex.org/W1994650475","https://openalex.org/W2008872914","https://openalex.org/W2012872284","https://openalex.org/W2017615983","https://openalex.org/W2020428620","https://openalex.org/W2020534926","https://openalex.org/W2022926609","https://openalex.org/W2025580333","https://openalex.org/W2027438381","https://openalex.org/W2029299802","https://openalex.org/W2030471604","https://openalex.org/W2038993450","https://openalex.org/W2039802576","https://openalex.org/W2042508339","https://openalex.org/W2048918862","https://openalex.org/W2050890325","https://openalex.org/W2052629386","https://openalex.org/W2057462050","https://openalex.org/W2058615912","https://openalex.org/W2059621246","https://openalex.org/W2060242824","https://openalex.org/W2065666685","https://openalex.org/W2066585395","https://openalex.org/W2068484625","https://openalex.org/W2072084230","https://openalex.org/W2075869990","https://openalex.org/W2079578802","https://openalex.org/W2079772079","https://openalex.org/W2085961516","https://openalex.org/W2106306857","https://openalex.org/W2118920711","https://openalex.org/W2125671914","https://openalex.org/W2125730421","https://openalex.org/W2133558469","https://openalex.org/W2153366662","https://openalex.org/W2162693461","https://openalex.org/W2172266364","https://openalex.org/W2282349494","https://openalex.org/W2314485382","https://openalex.org/W2341283081","https://openalex.org/W2558639087","https://openalex.org/W2749408143","https://openalex.org/W3022664448","https://openalex.org/W4285719527","https://openalex.org/W4292169137","https://openalex.org/W6695948267"],"related_works":["https://openalex.org/W2120449196","https://openalex.org/W2001807300","https://openalex.org/W2162693461","https://openalex.org/W3011761177","https://openalex.org/W4297816762","https://openalex.org/W2029069107","https://openalex.org/W2038993450","https://openalex.org/W2558639087","https://openalex.org/W1588357514","https://openalex.org/W2555123299"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2016-06-24T00:00:00"}