{"id":"https://openalex.org/W2508756916","doi":"https://doi.org/10.1007/s10915-016-0273-y","title":"Accurate Implicit\u2013Explicit General Linear Methods with Inherent Runge\u2013Kutta Stability","display_name":"Accurate Implicit\u2013Explicit General Linear Methods with Inherent Runge\u2013Kutta Stability","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2508756916","doi":"https://doi.org/10.1007/s10915-016-0273-y","mag":"2508756916"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-016-0273-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-016-0273-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5069646032","display_name":"M. Bra\u015b","orcid":"https://orcid.org/0000-0002-0522-0841"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Bra\u015b","raw_affiliation_strings":["Faculty of Applied Mathematics, AGH University of Science and Technology, Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, AGH University of Science and Technology, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044298477","display_name":"Giuseppe Izzo","orcid":"https://orcid.org/0000-0003-1412-8702"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giuseppe Izzo","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Napoli-\u201cFederico II\u201d, 80126, Naples, Italy","Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Napoli-\"Federico II\", 80126, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Napoli-\u201cFederico II\u201d, 80126, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Napoli-\"Federico II\", 80126, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"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/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]},{"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":["PL","US"],"is_corresponding":false,"raw_author_name":"Zdzis\u0142aw Jackiewicz","raw_affiliation_strings":["Faculty of Applied Mathematics, AGH University of Science and Technology, Krak\u00f3w, Poland","School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, 85287, USA"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics, AGH University of Science and Technology, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, 85287, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044298477"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.0299,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.9723521,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"70","issue":"3","first_page":"1105","last_page":"1143"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9973000288009644,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.996999979019165,"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/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.9030565023422241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8527044653892517},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7239628434181213},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6011724472045898},{"id":"https://openalex.org/keywords/numerical-methods-for-ordinary-differential-equations","display_name":"Numerical methods for ordinary differential equations","score":0.5296186208724976},{"id":"https://openalex.org/keywords/linear-multistep-method","display_name":"Linear multistep method","score":0.5015559196472168},{"id":"https://openalex.org/keywords/explicit-and-implicit-methods","display_name":"Explicit and implicit methods","score":0.49422600865364075},{"id":"https://openalex.org/keywords/linear-stability","display_name":"Linear stability","score":0.4287247657775879},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.38157373666763306},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3547065556049347},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3453139662742615},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.22929111123085022},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13228437304496765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1041308343410492},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.05110955238342285}],"concepts":[{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.9030565023422241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8527044653892517},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7239628434181213},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6011724472045898},{"id":"https://openalex.org/C1164432","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Numerical methods for ordinary differential equations","level":5,"score":0.5296186208724976},{"id":"https://openalex.org/C65889100","wikidata":"https://www.wikidata.org/wiki/Q1462003","display_name":"Linear multistep method","level":5,"score":0.5015559196472168},{"id":"https://openalex.org/C149393637","wikidata":"https://www.wikidata.org/wiki/Q5421265","display_name":"Explicit and implicit methods","level":5,"score":0.49422600865364075},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.4287247657775879},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38157373666763306},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3547065556049347},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3453139662742615},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.22929111123085022},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13228437304496765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1041308343410492},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.05110955238342285},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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":1,"locations":[{"id":"doi:10.1007/s10915-016-0273-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-016-0273-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309835","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W136349837","https://openalex.org/W157107253","https://openalex.org/W1509923322","https://openalex.org/W1543750907","https://openalex.org/W1550645607","https://openalex.org/W1571581645","https://openalex.org/W1584245551","https://openalex.org/W1633806305","https://openalex.org/W1902819800","https://openalex.org/W1972622121","https://openalex.org/W1974196958","https://openalex.org/W1976906776","https://openalex.org/W1982032924","https://openalex.org/W1991962363","https://openalex.org/W1995504856","https://openalex.org/W2004646935","https://openalex.org/W2004759358","https://openalex.org/W2005632077","https://openalex.org/W2006640177","https://openalex.org/W2008007187","https://openalex.org/W2016248785","https://openalex.org/W2019577174","https://openalex.org/W2025248049","https://openalex.org/W2027033062","https://openalex.org/W2029870529","https://openalex.org/W2029993476","https://openalex.org/W2039319854","https://openalex.org/W2042388195","https://openalex.org/W2042996124","https://openalex.org/W2050296550","https://openalex.org/W2054370103","https://openalex.org/W2054420328","https://openalex.org/W2065188344","https://openalex.org/W2066034486","https://openalex.org/W2076754369","https://openalex.org/W2078767654","https://openalex.org/W2086973468","https://openalex.org/W2088317945","https://openalex.org/W2091615270","https://openalex.org/W2091967202","https://openalex.org/W2093905028","https://openalex.org/W2100520965","https://openalex.org/W2128390309","https://openalex.org/W2128618499","https://openalex.org/W2138301603","https://openalex.org/W2152929300","https://openalex.org/W2158302091","https://openalex.org/W2169437869","https://openalex.org/W2170107618","https://openalex.org/W2299303713","https://openalex.org/W2480201659","https://openalex.org/W2484971506","https://openalex.org/W2552102249","https://openalex.org/W2582972221","https://openalex.org/W2604752184","https://openalex.org/W2950239886","https://openalex.org/W3199662323","https://openalex.org/W6600281463"],"related_works":["https://openalex.org/W2048226115","https://openalex.org/W4229586813","https://openalex.org/W2188177662","https://openalex.org/W1926143101","https://openalex.org/W1982032924","https://openalex.org/W56640444","https://openalex.org/W2136451125","https://openalex.org/W2378531610","https://openalex.org/W832825236","https://openalex.org/W1579385565"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
