{"id":"https://openalex.org/W4390805409","doi":"https://doi.org/10.1137/22m1503543","title":"Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schr\u00f6dinger Equation","display_name":"Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schr\u00f6dinger Equation","publication_year":2024,"publication_date":"2024-01-11","ids":{"openalex":"https://openalex.org/W4390805409","doi":"https://doi.org/10.1137/22m1503543"},"language":"en","primary_location":{"id":"doi:10.1137/22m1503543","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1503543","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5112395743","display_name":"Li-Lian Wang","orcid":"https://orcid.org/0000-0002-2735-9019"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Li-Lian Wang","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101406942","display_name":"Jingye Yan","orcid":"https://orcid.org/0000-0002-7597-7663"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingye Yan","raw_affiliation_strings":["Corresponding author. College of Mathematics and Physics, Wenzhou University, Wenzhou, 325035, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Corresponding author. College of Mathematics and Physics, Wenzhou University, Wenzhou, 325035, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100395712","display_name":"Xiaolong Zhang","orcid":"https://orcid.org/0000-0003-4771-1267"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaolong Zhang","raw_affiliation_strings":["MOE-LCSM, CHP-LCOCS, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MOE-LCSM, CHP-LCOCS, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.2115,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.97758223,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"62","issue":"1","first_page":"119","last_page":"137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.8189570307731628},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7970912456512451},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.684506893157959},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6604485511779785},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.612919807434082},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.604228138923645},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5956303477287292},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.532750129699707},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5202147364616394},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.47947821021080017},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.42079320549964905},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41324982047080994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35303670167922974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12252932786941528}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8189570307731628},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7970912456512451},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.684506893157959},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6604485511779785},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.612919807434082},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.604228138923645},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5956303477287292},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.532750129699707},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5202147364616394},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.47947821021080017},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.42079320549964905},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41324982047080994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35303670167922974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12252932786941528},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1503543","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1503543","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/178563","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/178563","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5199999809265137}],"awards":[{"id":"https://openalex.org/G2185283515","display_name":null,"funder_award_id":"RG15/21","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G4690582788","display_name":null,"funder_award_id":"202106720024","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G5133085640","display_name":null,"funder_award_id":"2021JJ40331","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G7395228737","display_name":null,"funder_award_id":"12101229","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null},{"id":"https://openalex.org/F4320323900","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W636566490","https://openalex.org/W1964470050","https://openalex.org/W1967868847","https://openalex.org/W1993142553","https://openalex.org/W2006043132","https://openalex.org/W2020107848","https://openalex.org/W2066944044","https://openalex.org/W2071357402","https://openalex.org/W2076523251","https://openalex.org/W2088629022","https://openalex.org/W2111755943","https://openalex.org/W2169053604","https://openalex.org/W2171594451","https://openalex.org/W2281921257","https://openalex.org/W2312961750","https://openalex.org/W2328955820","https://openalex.org/W2563583896","https://openalex.org/W2610429832","https://openalex.org/W2795033786","https://openalex.org/W2902944228","https://openalex.org/W2914008319","https://openalex.org/W2962865398","https://openalex.org/W2963738884","https://openalex.org/W2997915550","https://openalex.org/W3099070513","https://openalex.org/W3099949881","https://openalex.org/W3100645514","https://openalex.org/W3103480514","https://openalex.org/W3106410544","https://openalex.org/W3159388761","https://openalex.org/W3186094127","https://openalex.org/W3204708751","https://openalex.org/W3210061315","https://openalex.org/W3212454870","https://openalex.org/W4221156494","https://openalex.org/W4225769618","https://openalex.org/W4323567785"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2348722996","https://openalex.org/W2334570605","https://openalex.org/W3181683615","https://openalex.org/W4286826125","https://openalex.org/W1633485514","https://openalex.org/W1980454230","https://openalex.org/W2300851791","https://openalex.org/W1604739066"],"abstract_inverted_index":{"The":[0],"logarithmic":[1,7,122],"Schr\u00f6dinger":[2],"equation":[3],"(LogSE)":[4],"has":[5,79],"a":[6,26,125],"nonlinearity":[8,42],"f(u)":[9,63],"=":[10,19,77,91],"uln":[11],"|u|2":[12,74],"that":[13,112],"is":[14],"not":[15],"differentiable":[16],"at":[17,75],"u":[18,76],"0.":[20],"Compared":[21],"with":[22,25],"its":[23],"counterpart":[24],"regular":[27],"nonlinear":[28,126],"term,":[29,123],"it":[30],"possesses":[31],"richer":[32],"and":[33,50,124],"unusual":[34],"dynamics,":[35],"though":[36],"the":[37,41,57,70,84,87,95,101,109,114,117,121,136,144,148,153],"low":[38],"regularity":[39],"of":[40,72,89,116,120],"brings":[43],"about":[44],"significant":[45],"challenges":[46],"in":[47,83],"both":[48],"analysis":[49,111],"computation.":[51],"Among":[52],"very":[53],"limited":[54],"numerical":[55,132],"studies,":[56],"semi-implicit":[58],"regularized":[59],"method":[60],"via":[61],"regularizing":[62],"as":[64,143,155,157],"u\\varepsilon":[65],"ln(\\varepsilon+":[66],"|u\\varepsilon|)2":[67],"to":[68,134,146],"overcome":[69],"blowup":[71],"ln":[73],"0":[78],"been":[80],"investigated":[81],"recently":[82],"literature.":[85],"With":[86],"understanding":[88],"f(0)":[90],"0,":[92],"we":[93,158],"analyze":[94],"nonregularized":[96],"first-order":[97],"implicit-explicit":[98],"scheme":[99,151],"for":[100,108,152],"LogSE.":[102],"We":[103,129,139],"introduce":[104],"some":[105],"new":[106],"tools":[107],"error":[110],"include":[113],"characterization":[115],"H\u00f6lder":[118],"continuity":[119],"Gr\u00f6nwall's":[127],"inequality.":[128],"provide":[130],"ample":[131],"results":[133],"demonstrate":[135],"expected":[137],"convergence.":[138],"position":[140],"this":[141],"work":[142],"first":[145],"study":[147],"direct":[149],"linearized":[150],"LogSE":[154],"far":[156],"can":[159],"tell.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}