{"id":"https://openalex.org/W2077229134","doi":"https://doi.org/10.1137/s1064827595293600","title":"Three-Dimensional Front Tracking","display_name":"Three-Dimensional Front Tracking","publication_year":1998,"publication_date":"1998-05-01","ids":{"openalex":"https://openalex.org/W2077229134","doi":"https://doi.org/10.1137/s1064827595293600","mag":"2077229134"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827595293600","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827595293600","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/A5038334215","display_name":"James Glimm","orcid":null},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James Glimm","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600","institution_ids":["https://openalex.org/I1327163397","https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021686347","display_name":"John W. Grove","orcid":"https://orcid.org/0000-0002-4675-9624"},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John W. Grove","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600","institution_ids":["https://openalex.org/I1327163397","https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090243149","display_name":"Xiao Lin Li","orcid":"https://orcid.org/0000-0002-2534-1392"},"institutions":[{"id":"https://openalex.org/I135191193","display_name":"University of Indianapolis","ror":"https://ror.org/052133d12","country_code":"US","type":"education","lineage":["https://openalex.org/I135191193"]},{"id":"https://openalex.org/I55769427","display_name":"Indiana University \u2013 Purdue University Indianapolis","ror":"https://ror.org/05gxnyn08","country_code":"US","type":"education","lineage":["https://openalex.org/I55769427","https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiao Lin Li","raw_affiliation_strings":["Department of Mathematics, Indiana University-Purdue University, Indianapolis, IN 46202"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indiana University-Purdue University, Indianapolis, IN 46202","institution_ids":["https://openalex.org/I135191193","https://openalex.org/I55769427"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012964357","display_name":"Keh\u2013Ming Shyue","orcid":"https://orcid.org/0000-0002-9846-5054"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Keh-ming Shyue","raw_affiliation_strings":["Department of Mathematics, National Taiwan University, Taipei, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083874964","display_name":"Yanni Zeng","orcid":"https://orcid.org/0000-0002-2903-7750"},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yanni Zeng","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600","institution_ids":["https://openalex.org/I1327163397","https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078990957","display_name":"Qiang Zhang","orcid":"https://orcid.org/0000-0002-8659-5396"},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Zhang","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600","institution_ids":["https://openalex.org/I1327163397","https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.1259,"has_fulltext":false,"cited_by_count":368,"citation_normalized_percentile":{"value":0.99285184,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"19","issue":"3","first_page":"703","last_page":"727"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.8094094395637512},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.7722494602203369},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7718176245689392},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.6294912695884705},{"id":"https://openalex.org/keywords/front","display_name":"Front (military)","score":0.6271407604217529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5104357600212097},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48309326171875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45250168442726135},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.44723042845726013},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.37989363074302673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37177079916000366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1616153120994568},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.1260383427143097},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.06515896320343018}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.8094094395637512},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.7722494602203369},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7718176245689392},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.6294912695884705},{"id":"https://openalex.org/C2777551076","wikidata":"https://www.wikidata.org/wiki/Q842332","display_name":"Front (military)","level":2,"score":0.6271407604217529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5104357600212097},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48309326171875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45250168442726135},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.44723042845726013},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.37989363074302673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37177079916000366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1616153120994568},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.1260383427143097},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.06515896320343018},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827595293600","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827595293600","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:10.1.1.57.569","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.569","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ams.sunysb.edu/pub/papers/1995/susb95_17.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G222768804","display_name":null,"funder_award_id":"DE\u2010FG02\u2010","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2650199180","display_name":"THE MODELING OF COMPLEX       CONTINUA: FUNDAMENTAL         OBSTACLES AND GRAND           CHALLENGES","funder_award_id":"FG0290ER25084","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4301205996","display_name":"Mathematical Sciences: Presidential Young Investigator Award","funder_award_id":"9057429","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G826966145","display_name":"Mathematical Sciences: Nonlinear Waves, Nonlinear Materials and Chaotic Mixing","funder_award_id":"9500568","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W48504297","https://openalex.org/W954357554","https://openalex.org/W1500527815","https://openalex.org/W1500694187","https://openalex.org/W1505063772","https://openalex.org/W1675343599","https://openalex.org/W1970440866","https://openalex.org/W1973558216","https://openalex.org/W1973759868","https://openalex.org/W1974287094","https://openalex.org/W1983571821","https://openalex.org/W1991223352","https://openalex.org/W1999342804","https://openalex.org/W2000114813","https://openalex.org/W2003806449","https://openalex.org/W2013000460","https://openalex.org/W2018677519","https://openalex.org/W2023025635","https://openalex.org/W2026884725","https://openalex.org/W2027866448","https://openalex.org/W2034050047","https://openalex.org/W2035658932","https://openalex.org/W2037486195","https://openalex.org/W2037812149","https://openalex.org/W2037853025","https://openalex.org/W2038519088","https://openalex.org/W2038719416","https://openalex.org/W2038852701","https://openalex.org/W2046222474","https://openalex.org/W2054417118","https://openalex.org/W2062389073","https://openalex.org/W2065683255","https://openalex.org/W2068378147","https://openalex.org/W2073731546","https://openalex.org/W2089409433","https://openalex.org/W2090815556","https://openalex.org/W2140920478","https://openalex.org/W2146450796","https://openalex.org/W2158854017","https://openalex.org/W2163586455","https://openalex.org/W2169975817","https://openalex.org/W2334297875","https://openalex.org/W2376541509","https://openalex.org/W2608027170","https://openalex.org/W3003821699","https://openalex.org/W3198617767","https://openalex.org/W3201125807","https://openalex.org/W4212916239","https://openalex.org/W4212938577","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2404647514","https://openalex.org/W1667647204","https://openalex.org/W4247536566","https://openalex.org/W2018477250","https://openalex.org/W3119814709","https://openalex.org/W4241418540","https://openalex.org/W1508895727","https://openalex.org/W2725786787","https://openalex.org/W1972096828","https://openalex.org/W4283160672"],"abstract_inverted_index":{"We":[0],"describe":[1],"a":[2,58],"three-dimensional":[3,31],"front":[4,32],"tracking":[5,33],"algorithm,":[6],"discuss":[7],"its":[8],"numerical":[9,54],"implementation,":[10],"and":[11],"present":[12],"studies":[13],"to":[14,34],"validate":[15],"the":[16,23,26,49],"correctness":[17],"of":[18,25],"this":[19],"approach.":[20],"Based":[21],"on":[22],"results":[24],"two-dimensional":[27],"computations,":[28],"we":[29,56],"expect":[30,57],"significantly":[35],"improve":[36],"computational":[37],"efficiencies":[38],"for":[39,47],"problems":[40],"dominated":[41],"by":[42],"discontinuities.":[43],"In":[44],"some":[45],"cases,":[46],"which":[48],"interface":[50],"computations":[51],"display":[52],"considerable":[53],"sensitivity,":[55],"greatly":[59],"enhanced":[60],"capability.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":20},{"year":2012,"cited_by_count":19}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}