{"id":"https://openalex.org/W4402172531","doi":"https://doi.org/10.1137/23m1619617","title":"Low Regularity Full Error Estimates for the Cubic Nonlinear Schr\u00f6dinger Equation","display_name":"Low Regularity Full Error Estimates for the Cubic Nonlinear Schr\u00f6dinger Equation","publication_year":2024,"publication_date":"2024-09-03","ids":{"openalex":"https://openalex.org/W4402172531","doi":"https://doi.org/10.1137/23m1619617"},"language":"en","primary_location":{"id":"doi:10.1137/23m1619617","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1619617","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/A5062697552","display_name":"Lun Ji","orcid":"https://orcid.org/0009-0000-8330-4306"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Lun Ji","raw_affiliation_strings":["Department of Mathematics, Universit\u00e4t Innsbruck, Technikerstra\u00dfe 13, 6020 Innsbruck, Austria"],"raw_orcid":"https://orcid.org/0009-0000-8330-4306","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universit\u00e4t Innsbruck, Technikerstra\u00dfe 13, 6020 Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047834422","display_name":"Alexander Ostermann","orcid":"https://orcid.org/0000-0003-0194-2481"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Alexander Ostermann","raw_affiliation_strings":["Corresponding author. Department of Mathematics, Universit\u00e4t Innsbruck, Technikerstra\u00dfe 13, 6020 Innsbruck, Austria"],"raw_orcid":"https://orcid.org/0000-0003-0194-2481","affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Mathematics, Universit\u00e4t Innsbruck, Technikerstra\u00dfe 13, 6020 Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003705634","display_name":"Fr\u00e9d\u00e9ric Rousset","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Rousset","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, CNRS, Laboratoire de Math\u00e9matiques d\u2019Orsay (UMR 8628), 91405, Orsay Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, Laboratoire de Math\u00e9matiques d\u2019Orsay (UMR 8628), 91405, Orsay Cedex, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I3019441195","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027189972","display_name":"Katharina Schratz","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Katharina Schratz","raw_affiliation_strings":["LJLL (UMR 7598), Sorbonne Universit\u00e9, UPMC, 4 place Jussieu, 75005, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LJLL (UMR 7598), Sorbonne Universit\u00e9, UPMC, 4 place Jussieu, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.425,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.88084953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"62","issue":"5","first_page":"2071","last_page":"2086"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9776999950408936,"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":0.8329092264175415},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5836893916130066},{"id":"https://openalex.org/keywords/nonlinear-schr\u00f6dinger-equation","display_name":"Nonlinear Schr\u00f6dinger equation","score":0.547838032245636},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5038022398948669},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4272163212299347},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.3274775743484497},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06340533494949341}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8329092264175415},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5836893916130066},{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.547838032245636},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5038022398948669},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4272163212299347},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.3274775743484497},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06340533494949341},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1619617","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1619617","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5887775741","display_name":"Low-regularity and high oscillations: numerical analysis and computation of dispersive evolution equations","funder_award_id":"850941","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1547431580","https://openalex.org/W1973563979","https://openalex.org/W1974066539","https://openalex.org/W2092400970","https://openalex.org/W2136491192","https://openalex.org/W2183692121","https://openalex.org/W2618966431","https://openalex.org/W3036616071","https://openalex.org/W3131412345","https://openalex.org/W3174006813","https://openalex.org/W3191571649","https://openalex.org/W3195009542","https://openalex.org/W4390806724"],"related_works":["https://openalex.org/W2245214771","https://openalex.org/W1980174723","https://openalex.org/W2073973926","https://openalex.org/W2333053900","https://openalex.org/W1975562467","https://openalex.org/W2951961089","https://openalex.org/W3101208931","https://openalex.org/W2181923191","https://openalex.org/W3213209941","https://openalex.org/W4293767864"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}