{"id":"https://openalex.org/W2047465475","doi":"https://doi.org/10.1007/s002110000279","title":"Higher order numerical schemes for affinely controlled nonlinear systems","display_name":"Higher order numerical schemes for affinely controlled nonlinear systems","publication_year":2001,"publication_date":"2001-10-01","ids":{"openalex":"https://openalex.org/W2047465475","doi":"https://doi.org/10.1007/s002110000279","mag":"2047465475"},"language":"en","primary_location":{"id":"doi:10.1007/s002110000279","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110000279","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054568856","display_name":"Lars Gr\u00fcne","orcid":"https://orcid.org/0000-0002-9331-4097"},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"L. Gr\u00fcne","raw_affiliation_strings":["Fachbereich Mathematik, Johann Wolfgang Goethe Universit\u00e4t, 60054 Frankfurt am Main, Germany; e-mail: {gruene, kloeden}@math.uni-frankfurt.de\n, , , , , , DE","Fachbereich Mathematik, Johann Wolfgang Goethe Universit\u00e4t, 60054 Frankfurt am Main, Germany","e-mail: {gruene, kloeden}@math.uni-frankfurt.de\n, , , , , , DE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Johann Wolfgang Goethe Universit\u00e4t, 60054 Frankfurt am Main, Germany; e-mail: {gruene, kloeden}@math.uni-frankfurt.de\n, , , , , , DE","institution_ids":["https://openalex.org/I114090438"]},{"raw_affiliation_string":"Fachbereich Mathematik, Johann Wolfgang Goethe Universit\u00e4t, 60054 Frankfurt am Main, Germany","institution_ids":["https://openalex.org/I114090438"]},{"raw_affiliation_string":"e-mail: {gruene, kloeden}@math.uni-frankfurt.de\n, , , , , , DE","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021471659","display_name":"Peter E. Kloeden","orcid":"https://orcid.org/0000-0001-9505-2257"},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"P.E. Kloeden","raw_affiliation_strings":["Fachbereich Mathematik, Johann Wolfgang Goethe Universit\u00e4t, 60054 Frankfurt am Main, Germany; e-mail: {gruene, kloeden}@math.uni-frankfurt.de\n, , , , , , DE","Fachbereich Mathematik, Johann Wolfgang Goethe Universit\u00e4t, 60054 Frankfurt am Main, Germany","e-mail: {gruene, kloeden}@math.uni-frankfurt.de\n, , , , , , DE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Johann Wolfgang Goethe Universit\u00e4t, 60054 Frankfurt am Main, Germany; e-mail: {gruene, kloeden}@math.uni-frankfurt.de\n, , , , , , DE","institution_ids":["https://openalex.org/I114090438"]},{"raw_affiliation_string":"Fachbereich Mathematik, Johann Wolfgang Goethe Universit\u00e4t, 60054 Frankfurt am Main, Germany","institution_ids":["https://openalex.org/I114090438"]},{"raw_affiliation_string":"e-mail: {gruene, kloeden}@math.uni-frankfurt.de\n, , , , , , DE","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.1052,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.97535091,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"89","issue":"4","first_page":"669","last_page":"690"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9965000152587891,"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":0.9965000152587891,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9882000088691711,"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":[{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.7842988967895508},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7660552263259888},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7490929365158081},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5649809241294861},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5447281002998352},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4695475697517395},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4355708956718445},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4315434694290161},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3865868151187897},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29655396938323975},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28780943155288696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15428274869918823}],"concepts":[{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.7842988967895508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7660552263259888},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7490929365158081},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5649809241294861},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5447281002998352},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4695475697517395},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4355708956718445},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4315434694290161},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3865868151187897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29655396938323975},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28780943155288696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15428274869918823},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s002110000279","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110000279","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:epub.uni-bayreuth.de:5488","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400362","display_name":"EPub Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Preprint, Postprint"},{"id":"pmh:oai:eref.uni-bayreuth.de:63326","is_oa":false,"landing_page_url":"https://eref.uni-bayreuth.de/63326/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196442","display_name":"ERef Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel in einer Zeitschrift"}],"best_oa_location":{"id":"pmh:oai:epub.uni-bayreuth.de:5488","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400362","display_name":"EPub Bayreuth (University of Bayreuth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54009628","host_organization_name":"University of Bayreuth","host_organization_lineage":["https://openalex.org/I54009628"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Preprint, Postprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W286276113","https://openalex.org/W1499219562","https://openalex.org/W1572164227","https://openalex.org/W1575104486","https://openalex.org/W1597618578","https://openalex.org/W1802196594","https://openalex.org/W1995720627","https://openalex.org/W2003281007","https://openalex.org/W2058212189","https://openalex.org/W2259877541","https://openalex.org/W3160954918","https://openalex.org/W3209416867"],"related_works":["https://openalex.org/W4206768127","https://openalex.org/W4213270568","https://openalex.org/W4244999877","https://openalex.org/W4301315183","https://openalex.org/W2083551655","https://openalex.org/W2157764110","https://openalex.org/W2121498459","https://openalex.org/W2811272663","https://openalex.org/W3008473368","https://openalex.org/W2474709654"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
