{"id":"https://openalex.org/W2901142226","doi":"https://doi.org/10.1007/s10444-018-9643-3","title":"Theoretical and computational analysis of a nonlinear Schr\u00f6dinger problem with moving boundary","display_name":"Theoretical and computational analysis of a nonlinear Schr\u00f6dinger problem with moving boundary","publication_year":2018,"publication_date":"2018-11-12","ids":{"openalex":"https://openalex.org/W2901142226","doi":"https://doi.org/10.1007/s10444-018-9643-3","mag":"2901142226"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-018-9643-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-018-9643-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational 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/A5101652106","display_name":"Daniele Crespo Gomes","orcid":null},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Daniele C. R. Gomes","raw_affiliation_strings":["Instituto de Matem\u00e1tica, Universidade Federal do Rio de Janeiro, RJ, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-9987-4634","affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica, Universidade Federal do Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031700435","display_name":"Mauro A. Rincon","orcid":"https://orcid.org/0000-0002-6129-7173"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Mauro A. Rincon","raw_affiliation_strings":["Instituto de Matem\u00e1tica, Universidade Federal do Rio de Janeiro, RJ, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica, Universidade Federal do Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067200582","display_name":"Maria Darci G. da Silva","orcid":null},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Maria Darci G. da Silva","raw_affiliation_strings":["Instituto de Matem\u00e1tica, Universidade Federal do Rio de Janeiro, RJ, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica, Universidade Federal do Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061351720","display_name":"Gladson Octaviano Antunes","orcid":"https://orcid.org/0000-0003-3692-374X"},"institutions":[{"id":"https://openalex.org/I83648350","display_name":"Universidade Federal do Estado do Rio de Janeiro","ror":"https://ror.org/04tec8z30","country_code":"BR","type":"education","lineage":["https://openalex.org/I83648350"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Gladson O. Antunes","raw_affiliation_strings":["Escola de Matem\u00e1tica, Universidade Federal do Estado do Rio de Janeiro, RJ, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escola de Matem\u00e1tica, Universidade Federal do Estado do Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I83648350"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101652106"],"corresponding_institution_ids":["https://openalex.org/I122140584"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3411,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.58599168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"45","issue":"2","first_page":"981","last_page":"1004"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987000226974487,"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":0.9987000226974487,"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/T10514","display_name":"Numerical methods in engineering","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9968000054359436,"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":0.7552230954170227},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7412837147712708},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.640959620475769},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6267191171646118},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6149047017097473},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5856335163116455},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5782316327095032},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5431460738182068},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.53608238697052},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5125100612640381},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.485344797372818},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.48267748951911926},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4767342805862427},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4630354344844818},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4562138617038727},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.44982168078422546},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.43742287158966064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15668189525604248}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7552230954170227},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7412837147712708},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.640959620475769},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6267191171646118},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6149047017097473},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5856335163116455},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5782316327095032},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5431460738182068},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.53608238697052},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5125100612640381},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.485344797372818},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.48267748951911926},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4767342805862427},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4630354344844818},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4562138617038727},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44982168078422546},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.43742287158966064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15668189525604248},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-018-9643-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-018-9643-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W99776242","https://openalex.org/W1983515028","https://openalex.org/W1989713243","https://openalex.org/W2010227871","https://openalex.org/W2034012235","https://openalex.org/W2034375840","https://openalex.org/W2041523977","https://openalex.org/W2047378168","https://openalex.org/W2055514331","https://openalex.org/W2056897814","https://openalex.org/W2064898759","https://openalex.org/W2070730891","https://openalex.org/W2080950104","https://openalex.org/W2099980090","https://openalex.org/W2154558448","https://openalex.org/W2934526567","https://openalex.org/W2962716588","https://openalex.org/W3091814460","https://openalex.org/W3102415353","https://openalex.org/W4205634890"],"related_works":["https://openalex.org/W2121543990","https://openalex.org/W2402800040","https://openalex.org/W4252969132","https://openalex.org/W2000020320","https://openalex.org/W2805799113","https://openalex.org/W1981078319","https://openalex.org/W4387315838","https://openalex.org/W2077709279","https://openalex.org/W4238937692","https://openalex.org/W2037688108"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}