{"id":"https://openalex.org/W2562976995","doi":"https://doi.org/10.1007/s10915-016-0346-y","title":"Long-Time Simulations of Nonlinear Schr\u00f6dinger-Type Equations using Step Size Exceeding Threshold of Numerical Instability","display_name":"Long-Time Simulations of Nonlinear Schr\u00f6dinger-Type Equations using Step Size Exceeding Threshold of Numerical Instability","publication_year":2016,"publication_date":"2016-12-31","ids":{"openalex":"https://openalex.org/W2562976995","doi":"https://doi.org/10.1007/s10915-016-0346-y","mag":"2562976995"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-016-0346-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-016-0346-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of 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/A5003790316","display_name":"Taras I. Lakoba","orcid":"https://orcid.org/0000-0002-1873-004X"},"institutions":[{"id":"https://openalex.org/I111236770","display_name":"University of Vermont","ror":"https://ror.org/0155zta11","country_code":"US","type":"education","lineage":["https://openalex.org/I111236770"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T. I. Lakoba","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Vermont, 16 Colchester Ave, Burlington, VT, 05401, USA"],"raw_orcid":"https://orcid.org/0000-0002-1873-004X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Vermont, 16 Colchester Ave, Burlington, VT, 05401, USA","institution_ids":["https://openalex.org/I111236770"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003790316"],"corresponding_institution_ids":["https://openalex.org/I111236770"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":1.7186,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.84209269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"72","issue":"1","first_page":"14","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9994000196456909,"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":0.9994000196456909,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9958999752998352,"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/instability","display_name":"Instability","score":0.8149458169937134},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.7815462946891785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7223447561264038},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6054216027259827},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.518311619758606},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.49832701683044434},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4930877387523651},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.47714540362358093},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4676971435546875},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45543748140335083},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3934398889541626},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1881229281425476},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1522318720817566},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09092596173286438},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.0641292929649353},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06342145800590515}],"concepts":[{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.8149458169937134},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.7815462946891785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7223447561264038},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6054216027259827},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.518311619758606},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.49832701683044434},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4930877387523651},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.47714540362358093},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4676971435546875},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45543748140335083},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3934398889541626},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1881229281425476},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1522318720817566},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09092596173286438},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0641292929649353},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06342145800590515}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-016-0346-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-016-0346-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5508896332","display_name":null,"funder_award_id":"DMS-1217006","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"}],"funders":[{"id":"https://openalex.org/F4320332172","display_name":"Directorate for Mathematical and Physical Sciences","ror":"https://ror.org/029b7h395"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W309692679","https://openalex.org/W1500795322","https://openalex.org/W1585641754","https://openalex.org/W1708785370","https://openalex.org/W1972140872","https://openalex.org/W1974383656","https://openalex.org/W1978272081","https://openalex.org/W1984240403","https://openalex.org/W1998685869","https://openalex.org/W2004342435","https://openalex.org/W2005061077","https://openalex.org/W2010306256","https://openalex.org/W2013049049","https://openalex.org/W2017403023","https://openalex.org/W2018394116","https://openalex.org/W2025564310","https://openalex.org/W2029088417","https://openalex.org/W2032171614","https://openalex.org/W2037864736","https://openalex.org/W2049165066","https://openalex.org/W2055623556","https://openalex.org/W2075696551","https://openalex.org/W2088535056","https://openalex.org/W2094772459","https://openalex.org/W2096999709","https://openalex.org/W2109582054","https://openalex.org/W2118085053","https://openalex.org/W2121229790","https://openalex.org/W2142274086","https://openalex.org/W2147672512","https://openalex.org/W2148492670","https://openalex.org/W2158066165","https://openalex.org/W2163257413","https://openalex.org/W2184266932","https://openalex.org/W2300707756","https://openalex.org/W2405092277","https://openalex.org/W2964147722","https://openalex.org/W2999792156","https://openalex.org/W3105445922","https://openalex.org/W4229505861","https://openalex.org/W6749138373"],"related_works":["https://openalex.org/W2102789413","https://openalex.org/W2076949114","https://openalex.org/W2096467061","https://openalex.org/W1532287630","https://openalex.org/W2940603871","https://openalex.org/W2052500721","https://openalex.org/W2082296130","https://openalex.org/W4299508867","https://openalex.org/W4226214462","https://openalex.org/W2028331352"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"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":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}