{"id":"https://openalex.org/W1769910438","doi":"https://doi.org/10.1007/11403937_50","title":"Numerical Integration of the Differential Riccati Equation: A High Performance Computing Approach","display_name":"Numerical Integration of the Differential Riccati Equation: A High Performance Computing Approach","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1769910438","doi":"https://doi.org/10.1007/11403937_50","mag":"1769910438"},"language":"en","primary_location":{"id":"doi:10.1007/11403937_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11403937_50","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5078431977","display_name":"Enrique Arias","orcid":"https://orcid.org/0000-0003-1968-7108"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Enrique Arias","raw_affiliation_strings":["Departamento de Inform\u00e1tica, Universidad Castilla-La Mancha, Avda. Espa\u00f1a s/n, 02071, Albacete, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Inform\u00e1tica, Universidad Castilla-La Mancha, Avda. Espa\u00f1a s/n, 02071, Albacete, Spain","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068387424","display_name":"Vicente Hern\u00e1ndez","orcid":"https://orcid.org/0000-0002-7793-6232"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]},{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Vicente Hern\u00e1ndez","raw_affiliation_strings":["Departamento de Sistemas Inform\u00e1tios y Computaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain","EUIT Telecomunicaci\u00f3n - DIATEL, Universidad Polit\u00e9cnica de Madrid, Ctra. Valencia, Km. 7, 28031, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas Inform\u00e1tios y Computaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]},{"raw_affiliation_string":"EUIT Telecomunicaci\u00f3n - DIATEL, Universidad Polit\u00e9cnica de Madrid, Ctra. Valencia, Km. 7, 28031, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078431977"],"corresponding_institution_ids":["https://openalex.org/I79189158"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6329,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83645656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"671","last_page":"684"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9980000257492065,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7548210620880127},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.6678389310836792},{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.6244420409202576},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.539131760597229},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5373894572257996},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.5075877904891968},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.504864513874054},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4504934847354889},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.44700291752815247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43453603982925415},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.4153946042060852},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.40102994441986084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36003077030181885},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3293963670730591},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.27002018690109253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17525076866149902},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.13423535227775574},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13401979207992554}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7548210620880127},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6678389310836792},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.6244420409202576},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.539131760597229},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5373894572257996},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.5075877904891968},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.504864513874054},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4504934847354889},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.44700291752815247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43453603982925415},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.4153946042060852},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.40102994441986084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36003077030181885},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3293963670730591},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.27002018690109253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17525076866149902},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.13423535227775574},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13401979207992554},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11403937_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11403937_50","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W94439627","https://openalex.org/W136616458","https://openalex.org/W1480928214","https://openalex.org/W1487127700","https://openalex.org/W1496777766","https://openalex.org/W1499219562","https://openalex.org/W1510543252","https://openalex.org/W1624156688","https://openalex.org/W1887006513","https://openalex.org/W1988565074","https://openalex.org/W2000648945","https://openalex.org/W2008036087","https://openalex.org/W2033822614","https://openalex.org/W2038469228","https://openalex.org/W2052387764","https://openalex.org/W2067575573","https://openalex.org/W2077087555","https://openalex.org/W2088748973","https://openalex.org/W2093338910","https://openalex.org/W2100134099","https://openalex.org/W2123505857","https://openalex.org/W2148437017","https://openalex.org/W2148979214","https://openalex.org/W2150412237","https://openalex.org/W2173560059","https://openalex.org/W2239763523","https://openalex.org/W2375099263","https://openalex.org/W3022074680","https://openalex.org/W4231150350","https://openalex.org/W4285719527","https://openalex.org/W4300934284","https://openalex.org/W6628737389"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2547959172","https://openalex.org/W2018296362","https://openalex.org/W2727200542","https://openalex.org/W2002357820","https://openalex.org/W197349956","https://openalex.org/W2997206142","https://openalex.org/W2027962246","https://openalex.org/W2804494800","https://openalex.org/W2097622270"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
