{"id":"https://openalex.org/W2962916140","doi":"https://doi.org/10.1007/s11075-019-00763-1","title":"Multirate finite step methods","display_name":"Multirate finite step methods","publication_year":2019,"publication_date":"2019-07-20","ids":{"openalex":"https://openalex.org/W2962916140","doi":"https://doi.org/10.1007/s11075-019-00763-1","mag":"2962916140"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00763-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00763-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5019980470","display_name":"Andreas Naumann","orcid":"https://orcid.org/0000-0002-9287-0315"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Naumann","raw_affiliation_strings":["Institut f\u00fcr Wissenschaftliches Rechnen, TU Dresden, 01062, Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9287-0315","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Wissenschaftliches Rechnen, TU Dresden, 01062, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109041516","display_name":"J\u00f6rg Wensch","orcid":null},"institutions":[{"id":"https://openalex.org/I122228004","display_name":"HTW Berlin - University of Applied Sciences","ror":"https://ror.org/01xzwj424","country_code":"DE","type":"education","lineage":["https://openalex.org/I122228004"]},{"id":"https://openalex.org/I4210165059","display_name":"Hochschule f\u00fcr Technik und Wirtschaft Dresden \u2013 University of Applied Sciences","ror":"https://ror.org/05q5pk319","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210165059"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00f6rg Wensch","raw_affiliation_strings":["Hochschule f\u00fcr Technik und Wirtschaft Dresden, Friedrich-List-Platz 1, 01069, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hochschule f\u00fcr Technik und Wirtschaft Dresden, Friedrich-List-Platz 1, 01069, Dresden, Germany","institution_ids":["https://openalex.org/I122228004","https://openalex.org/I4210165059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019980470"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3245,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54208832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"81","issue":"4","first_page":"1547","last_page":"1571"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.991100013256073,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9882000088691711,"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":0.7054538130760193},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6710397601127625},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6380033493041992},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6023279428482056},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.5886051058769226},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5861465334892273},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.5693132877349854},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5491894483566284},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5323256254196167},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5318491458892822},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4413790702819824},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.43743833899497986},{"id":"https://openalex.org/keywords/exponential-integrator","display_name":"Exponential integrator","score":0.42378056049346924},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34224194288253784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30805182456970215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2291397750377655},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.22083860635757446},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.09202000498771667},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05927622318267822}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7054538130760193},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6710397601127625},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6380033493041992},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6023279428482056},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.5886051058769226},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5861465334892273},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.5693132877349854},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5491894483566284},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5323256254196167},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5318491458892822},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4413790702819824},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.43743833899497986},{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.42378056049346924},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34224194288253784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30805182456970215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2291397750377655},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.22083860635757446},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.09202000498771667},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05927622318267822},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-019-00763-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00763-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6779771783","display_name":null,"funder_award_id":"CRC/96","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1744456593","https://openalex.org/W1976371110","https://openalex.org/W1990615614","https://openalex.org/W1991962363","https://openalex.org/W2016886591","https://openalex.org/W2035851348","https://openalex.org/W2042388195","https://openalex.org/W2073389244","https://openalex.org/W2091221965","https://openalex.org/W2112043279","https://openalex.org/W2123871098","https://openalex.org/W2130894980","https://openalex.org/W2588257045"],"related_works":["https://openalex.org/W2993671323","https://openalex.org/W2913079245","https://openalex.org/W2288899673","https://openalex.org/W3022577984","https://openalex.org/W2491724669","https://openalex.org/W2071837188","https://openalex.org/W2126765017","https://openalex.org/W2023917379","https://openalex.org/W2769548863","https://openalex.org/W3155074176"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}