{"id":"https://openalex.org/W4409173917","doi":"https://doi.org/10.1007/s10444-025-10228-w","title":"Low-rank exponential integrators for stiff differential Riccati equations","display_name":"Low-rank exponential integrators for stiff differential Riccati equations","publication_year":2025,"publication_date":"2025-04-01","ids":{"openalex":"https://openalex.org/W4409173917","doi":"https://doi.org/10.1007/s10444-025-10228-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-025-10228-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-025-10228-w","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/A5028025369","display_name":"Hao Chen","orcid":"https://orcid.org/0000-0001-9976-6732"},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Chen","raw_affiliation_strings":["College of Mathematics Science, Chongqing Normal University, Chongqing, 401331, China"],"raw_orcid":"https://orcid.org/0000-0001-9976-6732","affiliations":[{"raw_affiliation_string":"College of Mathematics Science, Chongqing Normal University, Chongqing, 401331, China","institution_ids":["https://openalex.org/I126924076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027648225","display_name":"Alfio Borz\u0131\u0300","orcid":"https://orcid.org/0000-0002-8050-1336"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alfio Borz\u00ec","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t W\u00fcrzburg, 97074, W\u00fcrzburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t W\u00fcrzburg, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028025369"],"corresponding_institution_ids":["https://openalex.org/I126924076"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":1.3648,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73780936,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"51","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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":0.9998999834060669,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7283597588539124},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5932509899139404},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5887990593910217},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5717366933822632},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.5182964205741882},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5102560520172119},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5087838768959045},{"id":"https://openalex.org/keywords/exponential-integrator","display_name":"Exponential integrator","score":0.49703291058540344},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4689488112926483},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4095189571380615},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36155956983566284},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.21460330486297607},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.1566346287727356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14576229453086853},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08766356110572815},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08740708231925964}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7283597588539124},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5932509899139404},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5887990593910217},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5717366933822632},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.5182964205741882},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5102560520172119},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5087838768959045},{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.49703291058540344},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4689488112926483},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4095189571380615},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36155956983566284},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.21460330486297607},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.1566346287727356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14576229453086853},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08766356110572815},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08740708231925964},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/s10444-025-10228-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-025-10228-w","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":43,"referenced_works":["https://openalex.org/W143282311","https://openalex.org/W1483804921","https://openalex.org/W1488435683","https://openalex.org/W1539725266","https://openalex.org/W1586251222","https://openalex.org/W1984347942","https://openalex.org/W1998846299","https://openalex.org/W2020872085","https://openalex.org/W2028212620","https://openalex.org/W2036605062","https://openalex.org/W2042116764","https://openalex.org/W2043597843","https://openalex.org/W2052387764","https://openalex.org/W2053110557","https://openalex.org/W2066004879","https://openalex.org/W2074235022","https://openalex.org/W2074535974","https://openalex.org/W2095363071","https://openalex.org/W2096434207","https://openalex.org/W2102688209","https://openalex.org/W2120459890","https://openalex.org/W2130727150","https://openalex.org/W2142597043","https://openalex.org/W2152279941","https://openalex.org/W2163978579","https://openalex.org/W2226462370","https://openalex.org/W2480611454","https://openalex.org/W2509524967","https://openalex.org/W2560223176","https://openalex.org/W2950162043","https://openalex.org/W2963168700","https://openalex.org/W2963698265","https://openalex.org/W2968110048","https://openalex.org/W3042396705","https://openalex.org/W3081460238","https://openalex.org/W3102940808","https://openalex.org/W3104254611","https://openalex.org/W3116680002","https://openalex.org/W4211077197","https://openalex.org/W4231011685","https://openalex.org/W4381856545","https://openalex.org/W4404232062","https://openalex.org/W6629346464"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2081322886","https://openalex.org/W2913079245","https://openalex.org/W2993671323","https://openalex.org/W2288899673","https://openalex.org/W3038568830","https://openalex.org/W3135565596","https://openalex.org/W2067382432","https://openalex.org/W2758903571"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}