{"id":"https://openalex.org/W2076750256","doi":"https://doi.org/10.1007/s00211-003-0466-9","title":"Convergence rates for adaptive approximation of ordinary differential equations","display_name":"Convergence rates for adaptive approximation of ordinary differential equations","publication_year":2003,"publication_date":"2003-11-01","ids":{"openalex":"https://openalex.org/W2076750256","doi":"https://doi.org/10.1007/s00211-003-0466-9","mag":"2076750256"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-003-0466-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-003-0466-9","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/A5011989790","display_name":"Kyoung-Sook Moon","orcid":null},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Kyoung-Sook Moon","raw_affiliation_strings":["Institutionen f\u00f6r Numerisk Analys och Datalogi, Kungl Tekniska H\u00f6gskolan, 100 44, Stockholm, Sweden","Institutionen f\u00f6r Numerisk Analys och Datalogi, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institutionen f\u00f6r Numerisk Analys och Datalogi, Kungl Tekniska H\u00f6gskolan, 100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Institutionen f\u00f6r Numerisk Analys och Datalogi, Stockholm, Sweden","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004805552","display_name":"Anders Szepessy","orcid":null},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Szepessy","raw_affiliation_strings":["Institutionen f\u00f6r Numerisk Analys och Datalogi, Kungl Tekniska H\u00f6gskolan, 100 44, Stockholm, Sweden","Matematiska Institutionen, Kungl Tekniska H\u00f6gskolan, 100 44, Stockholm, Sweden","Institutionen f\u00f6r Numerisk Analys och Datalogi, Stockholm, Sweden","Matematiska Institutionen, Kungl Tekniska H\u00f6gskolan, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institutionen f\u00f6r Numerisk Analys och Datalogi, Kungl Tekniska H\u00f6gskolan, 100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Matematiska Institutionen, Kungl Tekniska H\u00f6gskolan, 100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Institutionen f\u00f6r Numerisk Analys och Datalogi, Stockholm, Sweden","institution_ids":[]},{"raw_affiliation_string":"Matematiska Institutionen, Kungl Tekniska H\u00f6gskolan, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004939553","display_name":"Ra\u00fal Tempone","orcid":"https://orcid.org/0000-0003-1967-4446"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Ra\ufffdl Tempone","raw_affiliation_strings":["Institutionen f\u00f6r Numerisk Analys och Datalogi, Kungl Tekniska H\u00f6gskolan, 100 44, Stockholm, Sweden","Institutionen f\u00f6r Numerisk Analys och Datalogi, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institutionen f\u00f6r Numerisk Analys och Datalogi, Kungl Tekniska H\u00f6gskolan, 100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Institutionen f\u00f6r Numerisk Analys och Datalogi, Stockholm, Sweden","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075381508","display_name":"Georgios E. Zouraris","orcid":"https://orcid.org/0000-0003-0234-0175"},"institutions":[{"id":"https://openalex.org/I4210129470","display_name":"FORTH Institute of Applied and Computational Mathematics","ror":"https://ror.org/02n2yp822","country_code":"GR","type":"facility","lineage":["https://openalex.org/I4210129470","https://openalex.org/I8901234"]},{"id":"https://openalex.org/I98805295","display_name":"University of the Aegean","ror":"https://ror.org/03zsp3p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I98805295"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Georgios E. Zouraris","raw_affiliation_strings":["Department of Mathematics, University of the Aegean, IACM, FO.R.T.H, 832 00, 711 10 , Karlovassi, Heraklion, Samos, Greece","Department of Mathematics, University of the Aegean, IACM, FO.R.T.H, Karlovassi, Heraklion, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Aegean, IACM, FO.R.T.H, 832 00, 711 10 , Karlovassi, Heraklion, Samos, Greece","institution_ids":["https://openalex.org/I98805295"]},{"raw_affiliation_string":"Department of Mathematics, University of the Aegean, IACM, FO.R.T.H, Karlovassi, Heraklion, Greece","institution_ids":["https://openalex.org/I4210129470","https://openalex.org/I98805295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011989790"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":4.9486,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.95857988,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"96","issue":"1","first_page":"99","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9979000091552734,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9979000091552734,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9970999956130981,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9932000041007996,"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":0.8473275899887085},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7833158373832703},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7185683846473694},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6010846495628357},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5013000965118408},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4959283769130707},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.48328664898872375},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46277081966400146},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43101227283477783},{"id":"https://openalex.org/keywords/uniform-boundedness","display_name":"Uniform boundedness","score":0.4174043536186218},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.38224413990974426},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33496731519699097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33280426263809204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07884636521339417},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.06770402193069458}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8473275899887085},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7833158373832703},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7185683846473694},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6010846495628357},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5013000965118408},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4959283769130707},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.48328664898872375},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46277081966400146},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43101227283477783},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.4174043536186218},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38224413990974426},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33496731519699097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33280426263809204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07884636521339417},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.06770402193069458},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-003-0466-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-003-0466-9","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":36,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W628337367","https://openalex.org/W1573573601","https://openalex.org/W1579063588","https://openalex.org/W1661172117","https://openalex.org/W1884654681","https://openalex.org/W1967176776","https://openalex.org/W1970139221","https://openalex.org/W1995404822","https://openalex.org/W1995479616","https://openalex.org/W2000169527","https://openalex.org/W2026655730","https://openalex.org/W2037646375","https://openalex.org/W2039419506","https://openalex.org/W2039924562","https://openalex.org/W2050991519","https://openalex.org/W2053424134","https://openalex.org/W2054882618","https://openalex.org/W2055967703","https://openalex.org/W2062326781","https://openalex.org/W2068616992","https://openalex.org/W2079275676","https://openalex.org/W2081416965","https://openalex.org/W2100726453","https://openalex.org/W2118065910","https://openalex.org/W2124633501","https://openalex.org/W2133147107","https://openalex.org/W2141394518","https://openalex.org/W2144144709","https://openalex.org/W2148639620","https://openalex.org/W2341059552","https://openalex.org/W2345370749","https://openalex.org/W3046101478","https://openalex.org/W3141390961","https://openalex.org/W3209416867","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2136053165","https://openalex.org/W2094924682","https://openalex.org/W1204990289","https://openalex.org/W4360615000","https://openalex.org/W2017040016","https://openalex.org/W2951529113","https://openalex.org/W2093789633","https://openalex.org/W2076750256","https://openalex.org/W2093640203","https://openalex.org/W3115138581"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}