乐胖代购免代理版

{"id":"https://openalex.org/W1967084062","doi":"https://doi.org/10.1090/s0025-5718-09-02213-3","title":"Exponential splitting for unbounded operators","display_name":"Exponential splitting for unbounded operators","publication_year":2009,"publication_date":"2009-04-27","ids":{"openalex":"https://openalex.org/W1967084062","doi":"https://doi.org/10.1090/s0025-5718-09-02213-3","mag":"1967084062"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02213-3","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02213-3/S0025-5718-09-02213-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02213-3/S0025-5718-09-02213-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102773573","display_name":"Eskil Hansen","orcid":"https://orcid.org/0000-0003-1187-6967"},"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":"Eskil Hansen","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Innsbruck, Technikerstra\u00dfe 13, A-6020 Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Innsbruck, Technikerstra\u00dfe 13, A-6020 Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"last","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":["Institut f\u00fcr Mathematik, Universit\u00e4t Innsbruck, Technikerstra\u00dfe 13, A-6020 Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Innsbruck, Technikerstra\u00dfe 13, A-6020 Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.081,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":102,"citation_normalized_percentile":{"value":0.999457,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"78","issue":"267","first_page":"1485","last_page":"1496"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9999,"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":0.9999,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9996,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995,"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"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8526933},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.66769296},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6431818},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5924469},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5435966},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.45915073},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.42785752},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42592862},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37833822},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02213-3","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02213-3/S0025-5718-09-02213-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02213-3","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02213-3/S0025-5718-09-02213-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[{"score":0.53,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":24,"referenced_works":["https://openalex.org/W1500458612","https://openalex.org/W1527296550","https://openalex.org/W1544770838","https://openalex.org/W1592378316","https://openalex.org/W1592958377","https://openalex.org/W188371495","https://openalex.org/W1977145840","https://openalex.org/W1986119538","https://openalex.org/W1986333812","https://openalex.org/W2044077544","https://openalex.org/W2051494558","https://openalex.org/W2068876583","https://openalex.org/W2092400970","https://openalex.org/W2105316596","https://openalex.org/W2118185346","https://openalex.org/W2124274248","https://openalex.org/W2126193218","https://openalex.org/W2464247276","https://openalex.org/W2588170868","https://openalex.org/W2947056241","https://openalex.org/W2969232873","https://openalex.org/W3042562017","https://openalex.org/W4206806849","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W32300376","https://openalex.org/W3023224836","https://openalex.org/W2794917831","https://openalex.org/W2104564563","https://openalex.org/W2084061773","https://openalex.org/W2013108996","https://openalex.org/W1974979356","https://openalex.org/W1634993130","https://openalex.org/W1602624896","https://openalex.org/W1519862060"],"abstract_inverted_index":{"We":[0,72],"present":[1],"a":[2,29],"convergence":[3,54],"analysis":[4,46,55],"for":[5],"exponential":[6],"splitting":[7,24],"methods":[8],"applied":[9],"to":[10,59,68],"linear":[11],"evolution":[12],"equations.":[13],"Our":[14],"main":[15],"result":[16],"states":[17],"that":[18,76],"the":[19,23,45,48,77,83,86],"classical":[20],"order":[21,38],"of":[22,31,51,62,85],"method":[25],"is":[26,41],"retained":[27],"in":[28,82],"setting":[30],"unbounded":[32,97],"operators,":[33,66],"without":[34],"requiring":[35],"any":[36],"additional":[37],"condition.":[39],"This":[40],"achieved":[42],"by":[43,74],"basing":[44],"on":[47],"abstract":[49,78],"framework":[50],"(semi)groups.":[52],"The":[53],"also":[56],"includes":[57],"generalizations":[58],"splittings":[60],"consisting":[61],"more":[63],"than":[64],"two":[65],"and":[67],"variable":[69],"time":[70],"steps.":[71],"conclude":[73],"illustrating":[75],"results":[79],"are":[80],"applicable":[81],"context":[84],"Schr\u00c3\u00b6dinger":[87],"equation":[88],"with":[89,95],"an":[90,96],"external":[91],"magnetic":[92],"field":[93],"or":[94],"potential.":[98]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1967084062","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":9}],"updated_date":"2024-12-10T14:06:08.317189","created_date":"2016-06-24"}