{"id":"https://openalex.org/W2019684971","doi":"https://doi.org/10.1137/s1064827500375473","title":"Implicit Integration of the Time-Dependent Ginzburg--Landau Equations of Superconductivity","display_name":"Implicit Integration of the Time-Dependent Ginzburg--Landau Equations of Superconductivity","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2019684971","doi":"https://doi.org/10.1137/s1064827500375473","mag":"2019684971"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827500375473","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500375473","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/A5042456190","display_name":"D. O. Gunter","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. O. Gunter","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054755754","display_name":"Hans G. Kaper","orcid":"https://orcid.org/0000-0003-1154-2406"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H. G. Kaper","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003184640","display_name":"G. K. Leaf","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. K. Leaf","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2492,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.51265337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"6","first_page":"1943","last_page":"1958"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T11416","display_name":"Numerical methods for differential equations","score":0.9954000115394592,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/superconductivity","display_name":"Superconductivity","score":0.7787237167358398},{"id":"https://openalex.org/keywords/ginzburg\u2013landau-theory","display_name":"Ginzburg\u2013Landau theory","score":0.6548341512680054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6030973196029663},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.5958182215690613},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5193418264389038},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.4966793656349182},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49262505769729614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39517316222190857},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34718233346939087},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.27356016635894775},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24348941445350647},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13995230197906494},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1395902931690216},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.123284250497818}],"concepts":[{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.7787237167358398},{"id":"https://openalex.org/C163192330","wikidata":"https://www.wikidata.org/wiki/Q900905","display_name":"Ginzburg\u2013Landau theory","level":3,"score":0.6548341512680054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6030973196029663},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.5958182215690613},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5193418264389038},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.4966793656349182},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49262505769729614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39517316222190857},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34718233346939087},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.27356016635894775},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24348941445350647},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13995230197906494},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1395902931690216},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.123284250497818},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1064827500375473","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500375473","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:10.1.1.240.3841","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.240.3841","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0007081v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.771.7552","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.771.7552","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/9906176.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1224802987","https://openalex.org/W1583389425","https://openalex.org/W1589918049","https://openalex.org/W1654896165","https://openalex.org/W1990501477","https://openalex.org/W1992459154","https://openalex.org/W2003378896","https://openalex.org/W2019658175","https://openalex.org/W2025769041","https://openalex.org/W2085130275","https://openalex.org/W2087947182","https://openalex.org/W2093234761","https://openalex.org/W3022780580","https://openalex.org/W4252760794","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3101394784","https://openalex.org/W4312082947","https://openalex.org/W2273072181","https://openalex.org/W3190973441","https://openalex.org/W1964674267","https://openalex.org/W2086251035","https://openalex.org/W2005340286","https://openalex.org/W2778876674","https://openalex.org/W2029653893","https://openalex.org/W2068190188"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,40,51],"concerned":[3],"with":[4],"the":[5,8,38,41],"integration":[6],"of":[7,13,43],"time-dependent":[9],"Ginzburg--Landau":[10],"(TDGL)":[11],"equations":[12],"superconductivity.":[14],"Four":[15],"algorithms,":[16],"ranging":[17],"from":[18],"fully":[19],"explicit":[20],"to":[21,59],"nonlinearly":[22],"implicit,":[23],"are":[24],"presented":[25],"and":[26,31,57],"evaluated":[27],"for":[28,37],"stability,":[29],"accuracy,":[30],"compute":[32],"time.":[33],"The":[34],"benchmark":[35],"problem":[36],"evaluation":[39],"equilibration":[42],"a":[44,48,54],"vortex":[45],"configuration":[46],"in":[47,53],"superconductor":[49],"that":[50],"embedded":[52],"thin":[55],"insulator":[56],"subject":[58],"an":[60],"applied":[61],"magnetic":[62],"field.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
