{"id":"https://openalex.org/W2095180669","doi":"https://doi.org/10.1007/s00211-002-0452-7","title":"A new approach to error estimation for general linear methods","display_name":"A new approach to error estimation for general linear methods","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W2095180669","doi":"https://doi.org/10.1007/s00211-002-0452-7","mag":"2095180669"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-002-0452-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-002-0452-7","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/A5055631392","display_name":"J. C. Butcher","orcid":"https://orcid.org/0000-0001-6499-9851"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"J.C. Butcher","raw_affiliation_strings":["Department of Mathematics, The University of Auckland, Private Bag, 92019, Auckland, New Zealand","Department of Mathematics, The University of Auckland, Auckland, New Zealand 92019#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Auckland, Private Bag, 92019, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"Department of Mathematics, The University of Auckland, Auckland, New Zealand 92019#TAB#","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011860849","display_name":"Z. Jackiewicz","orcid":"https://orcid.org/0000-0002-9823-3042"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Z. Jackiewicz","raw_affiliation_strings":["Department of Mathematics, Arizona State University, Tempe, Arizona, 85287","Department of Mathematics, Arizona State University, Arizona 85287#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arizona State University, Tempe, Arizona, 85287","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"Department of Mathematics, Arizona State University, Arizona 85287#TAB#","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055631392"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.5955,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.90029412,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"95","issue":"3","first_page":"487","last_page":"502"},"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":0.9991000294685364,"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":0.998199999332428,"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":0.8563479781150818},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7304275035858154},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6285058259963989},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5972486734390259},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5625635385513306},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5512068867683411},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.5432774424552917},{"id":"https://openalex.org/keywords/linear-multistep-method","display_name":"Linear multistep method","score":0.5126633048057556},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.4630904495716095},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.43887820839881897},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3910965919494629},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3241533041000366},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.1497112214565277}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8563479781150818},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7304275035858154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6285058259963989},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5972486734390259},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5625635385513306},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5512068867683411},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.5432774424552917},{"id":"https://openalex.org/C65889100","wikidata":"https://www.wikidata.org/wiki/Q1462003","display_name":"Linear multistep method","level":5,"score":0.5126633048057556},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.4630904495716095},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.43887820839881897},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3910965919494629},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3241533041000366},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.1497112214565277},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-002-0452-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-002-0452-7","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W205683037","https://openalex.org/W1509923322","https://openalex.org/W1555459452","https://openalex.org/W1610484499","https://openalex.org/W1680887886","https://openalex.org/W1995504856","https://openalex.org/W2001393739","https://openalex.org/W2051710605","https://openalex.org/W2069268198","https://openalex.org/W2093045686"],"related_works":["https://openalex.org/W1972746864","https://openalex.org/W3199099378","https://openalex.org/W2242812604","https://openalex.org/W2186203512","https://openalex.org/W135648373","https://openalex.org/W132846566","https://openalex.org/W39024429","https://openalex.org/W2150878246","https://openalex.org/W4383374787","https://openalex.org/W2791404322"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}