{"id":"https://openalex.org/W2039185476","doi":"https://doi.org/10.1007/s00211-009-0255-1","title":"Generalized polar coordinates on Lie groups and numerical integrators","display_name":"Generalized polar coordinates on Lie groups and numerical integrators","publication_year":2009,"publication_date":"2009-09-11","ids":{"openalex":"https://openalex.org/W2039185476","doi":"https://doi.org/10.1007/s00211-009-0255-1","mag":"2039185476"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-009-0255-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-009-0255-1","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003792251","display_name":"Stein Krogstad","orcid":"https://orcid.org/0000-0001-7855-9486"},"institutions":[{"id":"https://openalex.org/I173888879","display_name":"SINTEF","ror":"https://ror.org/01f677e56","country_code":"NO","type":"facility","lineage":["https://openalex.org/I173888879"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Stein Krogstad","raw_affiliation_strings":["SINTEF ICT, Forskningsveien 1, Oslo, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SINTEF ICT, Forskningsveien 1, Oslo, Norway","institution_ids":["https://openalex.org/I173888879"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069525654","display_name":"Hans Munthe\u2013Kaas","orcid":"https://orcid.org/0000-0002-4456-3150"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Hans Z. Munthe-Kaas","raw_affiliation_strings":["Matematisk Institutt, University of Bergen, Johannes Brunsgt 12, 5008, Bergen, Norway","University of Bergen, Matematisk Institutt, Johannes Brunsgt 12, 5008, Bergen, Norway#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matematisk Institutt, University of Bergen, Johannes Brunsgt 12, 5008, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"University of Bergen, Matematisk Institutt, Johannes Brunsgt 12, 5008, Bergen, Norway#TAB#","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015777960","display_name":"Antonella Zanna","orcid":null},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Antonella Zanna","raw_affiliation_strings":["Matematisk Institutt, University of Bergen, Johannes Brunsgt 12, 5008, Bergen, Norway","University of Bergen, Matematisk Institutt, Johannes Brunsgt 12, 5008, Bergen, Norway#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matematisk Institutt, University of Bergen, Johannes Brunsgt 12, 5008, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"University of Bergen, Matematisk Institutt, Johannes Brunsgt 12, 5008, Bergen, Norway#TAB#","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015777960"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4326,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.7998176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"114","issue":"1","first_page":"161","last_page":"187"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9724000096321106,"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":0.7922008037567139},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.7509897947311401},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6166612505912781},{"id":"https://openalex.org/keywords/lie-theory","display_name":"Lie theory","score":0.5799764394760132},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.5768629908561707},{"id":"https://openalex.org/keywords/polar-coordinate-system","display_name":"Polar coordinate system","score":0.5661450028419495},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5374830961227417},{"id":"https://openalex.org/keywords/log-polar-coordinates","display_name":"Log-polar coordinates","score":0.5297696590423584},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.48809874057769775},{"id":"https://openalex.org/keywords/spherical-coordinate-system","display_name":"Spherical coordinate system","score":0.47867971658706665},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.47122442722320557},{"id":"https://openalex.org/keywords/generalized-coordinates","display_name":"Generalized coordinates","score":0.445264995098114},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43727219104766846},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3241181969642639},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.32010772824287415},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3097260594367981},{"id":"https://openalex.org/keywords/adjoint-representation-of-a-lie-algebra","display_name":"Adjoint representation of a Lie algebra","score":0.247138112783432},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22675269842147827},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10291016101837158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06363743543624878}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7922008037567139},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.7509897947311401},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6166612505912781},{"id":"https://openalex.org/C143135876","wikidata":"https://www.wikidata.org/wiki/Q357300","display_name":"Lie theory","level":5,"score":0.5799764394760132},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.5768629908561707},{"id":"https://openalex.org/C40069579","wikidata":"https://www.wikidata.org/wiki/Q62494","display_name":"Polar coordinate system","level":2,"score":0.5661450028419495},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5374830961227417},{"id":"https://openalex.org/C136364276","wikidata":"https://www.wikidata.org/wiki/Q6666761","display_name":"Log-polar coordinates","level":3,"score":0.5297696590423584},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.48809874057769775},{"id":"https://openalex.org/C126990412","wikidata":"https://www.wikidata.org/wiki/Q203218","display_name":"Spherical coordinate system","level":2,"score":0.47867971658706665},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47122442722320557},{"id":"https://openalex.org/C105815890","wikidata":"https://www.wikidata.org/wiki/Q1057607","display_name":"Generalized coordinates","level":2,"score":0.445264995098114},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43727219104766846},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3241181969642639},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32010772824287415},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3097260594367981},{"id":"https://openalex.org/C203946495","wikidata":"https://www.wikidata.org/wiki/Q1017106","display_name":"Adjoint representation of a Lie algebra","level":4,"score":0.247138112783432},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22675269842147827},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10291016101837158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06363743543624878},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"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/s00211-009-0255-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-009-0255-1","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1530474308","https://openalex.org/W1555233889","https://openalex.org/W1556821246","https://openalex.org/W1600448051","https://openalex.org/W1624156688","https://openalex.org/W1923779967","https://openalex.org/W1963918412","https://openalex.org/W1972803533","https://openalex.org/W1981041413","https://openalex.org/W1983894121","https://openalex.org/W1990753794","https://openalex.org/W1991136704","https://openalex.org/W1997105074","https://openalex.org/W2013045493","https://openalex.org/W2016012557","https://openalex.org/W2020710505","https://openalex.org/W2023137937","https://openalex.org/W2029727681","https://openalex.org/W2031958704","https://openalex.org/W2040229264","https://openalex.org/W2041869565","https://openalex.org/W2049631777","https://openalex.org/W2053037153","https://openalex.org/W2058674723","https://openalex.org/W2060868502","https://openalex.org/W2061356302","https://openalex.org/W2062908485","https://openalex.org/W2079184858","https://openalex.org/W2081394194","https://openalex.org/W2082465767","https://openalex.org/W2084564496","https://openalex.org/W2118708484","https://openalex.org/W2131838761","https://openalex.org/W2133318743","https://openalex.org/W2151249889","https://openalex.org/W2158958880","https://openalex.org/W2168771200","https://openalex.org/W2610857016","https://openalex.org/W2798909945","https://openalex.org/W2913502585","https://openalex.org/W3038054700","https://openalex.org/W3125655758","https://openalex.org/W4234365842"],"related_works":["https://openalex.org/W4297954213","https://openalex.org/W3021938232","https://openalex.org/W2097891827","https://openalex.org/W4225614476","https://openalex.org/W4243707844","https://openalex.org/W1780112069","https://openalex.org/W4377003511","https://openalex.org/W4251975576","https://openalex.org/W2066503199","https://openalex.org/W4239038825"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}