{"id":"https://openalex.org/W3036045952","doi":"https://doi.org/10.1080/00207160.2020.1781100","title":"Multisymplectic structure-preserving scheme for the coupled Gross\u2013Pitaevskii equations","display_name":"Multisymplectic structure-preserving scheme for the coupled Gross\u2013Pitaevskii equations","publication_year":2020,"publication_date":"2020-06-17","ids":{"openalex":"https://openalex.org/W3036045952","doi":"https://doi.org/10.1080/00207160.2020.1781100","mag":"3036045952"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1781100","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1781100","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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":"https://openalex.org/A5025465501","display_name":"Lan Wang","orcid":"https://orcid.org/0000-0002-0731-9554"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lan Wang","raw_affiliation_strings":["Jiangsu Collaborative Innovation Center of Biomedical Functional Matherials, School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China","School of Mathematics and Information Science, Jiangxi Normal University, Nanchang, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Collaborative Innovation Center of Biomedical Functional Matherials, School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Jiangxi Normal University, Nanchang, People's Republic of China","institution_ids":["https://openalex.org/I53592917"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038670362","display_name":"Yushun Wang","orcid":"https://orcid.org/0000-0002-6200-220X"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yushun Wang","raw_affiliation_strings":["Jiangsu Collaborative Innovation Center of Biomedical Functional Matherials, School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Collaborative Innovation Center of Biomedical Functional Matherials, School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038670362"],"corresponding_institution_ids":["https://openalex.org/I152031979"],"apc_list":null,"apc_paid":null,"fwci":0.1151,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.42247446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"98","issue":"4","first_page":"783","last_page":"806"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9987999796867371,"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/T12612","display_name":"Strong Light-Matter Interactions","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7802297472953796},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6494553089141846},{"id":"https://openalex.org/keywords/angular-momentum","display_name":"Angular momentum","score":0.5592458248138428},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5098168253898621},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4898674190044403},{"id":"https://openalex.org/keywords/momentum","display_name":"Momentum (technical analysis)","score":0.47809240221977234},{"id":"https://openalex.org/keywords/gross\u2013pitaevskii-equation","display_name":"Gross\u2013Pitaevskii equation","score":0.47289717197418213},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4434290826320648},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4294787049293518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4060891568660736},{"id":"https://openalex.org/keywords/bose\u2013einstein-condensate","display_name":"Bose\u2013Einstein condensate","score":0.3296068608760834},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.32799363136291504},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18954482674598694},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15909627079963684},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.07307890057563782}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7802297472953796},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6494553089141846},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.5592458248138428},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5098168253898621},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4898674190044403},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.47809240221977234},{"id":"https://openalex.org/C2776902821","wikidata":"https://www.wikidata.org/wiki/Q910667","display_name":"Gross\u2013Pitaevskii equation","level":3,"score":0.47289717197418213},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4434290826320648},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4294787049293518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4060891568660736},{"id":"https://openalex.org/C37589322","wikidata":"https://www.wikidata.org/wiki/Q46202","display_name":"Bose\u2013Einstein condensate","level":2,"score":0.3296068608760834},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.32799363136291504},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18954482674598694},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15909627079963684},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.07307890057563782},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1781100","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1781100","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2836876721","display_name":"\u65e0\u7a77\u7ef4\u54c8\u5bc6\u5c14\u987f\u7cfb\u7edf\u4fdd\u7ed3\u6784\u7b97\u6cd5\u7684\u7814\u7a76\u4e0e\u5e94\u7528","funder_award_id":"11771213","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3889630989","display_name":null,"funder_award_id":"20161ACB20006,20181BAB201008","funder_id":"https://openalex.org/F4320322665","funder_display_name":"Natural Science Foundation of Jiangxi Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322665","display_name":"Natural Science Foundation of Jiangxi Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W636566490","https://openalex.org/W1965471588","https://openalex.org/W1975034694","https://openalex.org/W1988573705","https://openalex.org/W1991602497","https://openalex.org/W1991606628","https://openalex.org/W1995959361","https://openalex.org/W1997154741","https://openalex.org/W2018534386","https://openalex.org/W2023446343","https://openalex.org/W2026720924","https://openalex.org/W2030171018","https://openalex.org/W2050338742","https://openalex.org/W2052525012","https://openalex.org/W2056965879","https://openalex.org/W2059486887","https://openalex.org/W2064074823","https://openalex.org/W2070234885","https://openalex.org/W2078210968","https://openalex.org/W2080091608","https://openalex.org/W2080887413","https://openalex.org/W2082846006","https://openalex.org/W2099597895","https://openalex.org/W2132639490","https://openalex.org/W2158531219","https://openalex.org/W2171682495","https://openalex.org/W2263246755","https://openalex.org/W2293466968","https://openalex.org/W2390995754","https://openalex.org/W2572525288","https://openalex.org/W2616933973","https://openalex.org/W2780615700","https://openalex.org/W2790907108","https://openalex.org/W2810983139","https://openalex.org/W2889781326","https://openalex.org/W2964345672","https://openalex.org/W3101835573"],"related_works":["https://openalex.org/W2023048482","https://openalex.org/W3025808427","https://openalex.org/W2142712583","https://openalex.org/W2001951128","https://openalex.org/W1954504259","https://openalex.org/W2035386001","https://openalex.org/W1983405252","https://openalex.org/W2151428129","https://openalex.org/W3100108595","https://openalex.org/W2266884944"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"numerically":[5],"the":[6,9,16,27,31,46,52,67,74,80,90,100,104],"dynamics":[7],"of":[8,30],"rotating":[10,24],"Bose\u2013Einstein":[11],"condensates":[12],"(BECs)":[13],"modelled":[14],"by":[15,36],"coupled":[17],"Gross\u2013Pitaevskii":[18],"(CGP)":[19],"equations":[20,33],"with":[21],"angular":[22],"momentum":[23],"terms.":[25],"First,":[26],"multisymplectic":[28,48,62,81],"structure":[29],"CGP":[32,68],"is":[34,64,87],"investigated":[35],"introducing":[37],"some":[38],"canonical":[39],"momenta":[40],"which":[41],"allows":[42],"us":[43],"to":[44,98],"construct":[45],"corresponding":[47],"schemes.":[49],"Then":[50],"applying":[51],"midpoint":[53],"rule":[54],"in":[55],"both":[56],"temporal":[57],"and":[58,73,103],"spatial":[59],"directions,":[60],"a":[61],"scheme":[63],"proposed":[65],"for":[66,79,89],"equations.":[69],"The":[70,83],"conservative":[71,101],"properties":[72],"convergence":[75,105],"analysis":[76],"are":[77,95],"discussed":[78],"scheme.":[82],"cut-off":[84],"function":[85],"technique":[86],"utilized":[88],"error":[91],"estimation.":[92],"Numerical":[93],"examples":[94],"carried":[96],"out":[97],"verify":[99],"property":[102],"rate.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}