{"id":"https://openalex.org/W2139822104","doi":"https://doi.org/10.1137/060670298","title":"A Fast Iterative Method for Eikonal Equations","display_name":"A Fast Iterative Method for Eikonal Equations","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2139822104","doi":"https://doi.org/10.1137/060670298","mag":"2139822104"},"language":"en","primary_location":{"id":"doi:10.1137/060670298","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060670298","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 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/A5025485089","display_name":"Won\u2010Ki Jeong","orcid":"https://orcid.org/0000-0002-9393-6451"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Won-Ki Jeong","raw_affiliation_strings":["University of Utah,"],"affiliations":[{"raw_affiliation_string":"University of Utah,","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109840277","display_name":"Ross Whitaker","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ross T. Whitaker","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025485089"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":null,"apc_paid":null,"fwci":9.8757,"has_fulltext":false,"cited_by_count":167,"citation_normalized_percentile":{"value":0.98540717,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"30","issue":"5","first_page":"2512","last_page":"2534"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10101","display_name":"Cloud Computing and Resource Management","score":0.9818000197410583,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eikonal-equation","display_name":"Eikonal equation","score":0.7848408222198486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6960474848747253},{"id":"https://openalex.org/keywords/simd","display_name":"SIMD","score":0.6208160519599915},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5647868514060974},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5553518533706665},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5243749618530273},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5039669871330261},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.42342984676361084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42052987217903137},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.41790005564689636},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.4100014567375183},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36257505416870117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2887910008430481}],"concepts":[{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.7848408222198486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6960474848747253},{"id":"https://openalex.org/C150552126","wikidata":"https://www.wikidata.org/wiki/Q339387","display_name":"SIMD","level":2,"score":0.6208160519599915},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5647868514060974},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5553518533706665},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5243749618530273},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5039669871330261},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.42342984676361084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42052987217903137},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.41790005564689636},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.4100014567375183},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36257505416870117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2887910008430481},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/060670298","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060670298","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.164.816","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.164.816","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.seas.harvard.edu/~wkjeong/publication/wkjeong-sisc-fim.pdf","raw_type":"text"},{"id":"pmh:oai:scholarworks.unist.ac.kr:201301/8010","is_oa":false,"landing_page_url":"https://scholarworks.unist.ac.kr/handle/201301/8010","pdf_url":null,"source":{"id":"https://openalex.org/S4306401118","display_name":"Scholarworks@UNIST (Ulsan National Institute of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48566637","host_organization_name":"Ulsan National Institute of Science and Technology","host_organization_lineage":["https://openalex.org/I48566637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ARTICLE"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W58978348","https://openalex.org/W1569074424","https://openalex.org/W1973965874","https://openalex.org/W1984697939","https://openalex.org/W1991989246","https://openalex.org/W1992799516","https://openalex.org/W1998971250","https://openalex.org/W1999244633","https://openalex.org/W1999690352","https://openalex.org/W2003009438","https://openalex.org/W2012872284","https://openalex.org/W2019847603","https://openalex.org/W2021092589","https://openalex.org/W2032309817","https://openalex.org/W2034188696","https://openalex.org/W2049391017","https://openalex.org/W2054113582","https://openalex.org/W2055341194","https://openalex.org/W2058615912","https://openalex.org/W2061702899","https://openalex.org/W2065666685","https://openalex.org/W2072073142","https://openalex.org/W2085961516","https://openalex.org/W2089853005","https://openalex.org/W2095830854","https://openalex.org/W2108567935","https://openalex.org/W2108824541","https://openalex.org/W2113566579","https://openalex.org/W2115118342","https://openalex.org/W2118268140","https://openalex.org/W2132202988","https://openalex.org/W2140743603","https://openalex.org/W2141409037","https://openalex.org/W2141603699","https://openalex.org/W2146481568","https://openalex.org/W2150179889","https://openalex.org/W2156511674","https://openalex.org/W2159786075","https://openalex.org/W2160106931","https://openalex.org/W2232710831","https://openalex.org/W2493551562","https://openalex.org/W2561843528","https://openalex.org/W2998023265","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2099629705","https://openalex.org/W2096405754","https://openalex.org/W2382510858","https://openalex.org/W2009882312","https://openalex.org/W2090507606","https://openalex.org/W1509211761","https://openalex.org/W2000051442","https://openalex.org/W1585350690","https://openalex.org/W2582456645","https://openalex.org/W2074226157"],"abstract_inverted_index":{"In":[0],"this":[1,56],"paper":[2,119],"we":[3],"propose":[4],"a":[5,49,127,145],"novel":[6],"computational":[7],"technique":[8],"to":[9,41,110],"solve":[10],"the":[11,22,30,45,53,94,121,132,136,142],"Eikonal":[12,138],"equation":[13],"efficiently":[14,114],"on":[15,32,48,83,115,144],"parallel":[16,116,151],"architectures.":[17,117],"The":[18,73],"proposed":[19,74,95,133],"method":[20,75,96,134],"manages":[21],"list":[23,46,57],"of":[24,55,64],"active":[25],"nodes":[26,34],"and":[27,85,102,112,140],"iteratively":[28],"updates":[29,101],"solutions":[31],"those":[33],"until":[35],"they":[36],"converge.":[37],"Nodes":[38],"are":[39],"added":[40],"or":[42,69],"removed":[43],"from":[44],"based":[47],"convergence":[50],"measure,":[51],"but":[52],"management":[54],"does":[58],"not":[59],"entail":[60],"an":[61],"extra":[62],"burden":[63],"expensive":[65],"ordered":[66],"data":[67],"structures":[68],"special":[70],"updating":[71],"sequences.":[72],"has":[76,104],"suboptimal":[77],"worst-case":[78],"performance":[79,128],"but,":[80],"in":[81],"practice,":[82],"real":[84],"synthetic":[86],"datasets,":[87],"runs":[88],"faster":[89],"than":[90],"guaranteed-optimal":[91],"alternatives.":[92],"Furthermore,":[93],"uses":[97],"only":[98],"local,":[99],"synchronous":[100],"therefore":[103],"better":[105],"cache":[106],"coherency,":[107],"is":[108],"simple":[109],"implement,":[111],"scales":[113],"This":[118],"describes":[120,141],"method,":[122],"proves":[123],"its":[124],"consistency,":[125],"gives":[126],"analysis":[129],"that":[130],"compares":[131],"against":[135],"state-of-the-art":[137],"solvers,":[139],"implementation":[143],"single":[146],"instruction":[147],"multiple":[148],"datastream":[149],"(SIMD)":[150],"architecture.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":11}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
