{"id":"https://openalex.org/W1968004159","doi":"https://doi.org/10.1007/bf02072017","title":"Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations","display_name":"Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations","publication_year":1993,"publication_date":"1993-10-01","ids":{"openalex":"https://openalex.org/W1968004159","doi":"https://doi.org/10.1007/bf02072017","mag":"1968004159"},"language":"en","primary_location":{"id":"doi:10.1007/bf02072017","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02072017","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5078620782","display_name":"Christopher Baker","orcid":"https://orcid.org/0000-0003-3899-7080"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Christopher T. H. Baker","raw_affiliation_strings":["Centre for Novel Computing, University of Manchester, M13 9PL, Manchester, UK","Mathematics Department, University of Manchester, M13 9PL, Manchester, UK"],"affiliations":[{"raw_affiliation_string":"Centre for Novel Computing, University of Manchester, M13 9PL, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Mathematics Department, University of Manchester, M13 9PL, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054248604","display_name":"Christopher Paul","orcid":"https://orcid.org/0000-0001-7913-2257"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christopher A. H. Paul","raw_affiliation_strings":["Mathematics Department, University of Manchester, M13 9PL, Manchester, UK"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Manchester, M13 9PL, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078620782"],"corresponding_institution_ids":["https://openalex.org/I28407311"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.3271,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87910976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"1","issue":"3","first_page":"367","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":1.0,"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":1.0,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9973000288009644,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.9494984149932861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7662367820739746},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6866104006767273},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.6837635040283203},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5774213671684265},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5677287578582764},{"id":"https://openalex.org/keywords/lag","display_name":"Lag","score":0.5120878219604492},{"id":"https://openalex.org/keywords/l-stability","display_name":"L-stability","score":0.5071191787719727},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47901028394699097},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4789224863052368},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4757018983364105},{"id":"https://openalex.org/keywords/time-lag","display_name":"Time lag","score":0.4430640637874603},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42192649841308594},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.15748059749603271},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12279224395751953}],"concepts":[{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.9494984149932861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7662367820739746},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6866104006767273},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.6837635040283203},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5774213671684265},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5677287578582764},{"id":"https://openalex.org/C75778745","wikidata":"https://www.wikidata.org/wiki/Q342626","display_name":"Lag","level":2,"score":0.5120878219604492},{"id":"https://openalex.org/C165242687","wikidata":"https://www.wikidata.org/wiki/Q277932","display_name":"L-stability","level":5,"score":0.5071191787719727},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47901028394699097},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4789224863052368},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4757018983364105},{"id":"https://openalex.org/C2987767877","wikidata":"https://www.wikidata.org/wiki/Q352862","display_name":"Time lag","level":3,"score":0.4430640637874603},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42192649841308594},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.15748059749603271},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12279224395751953},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02072017","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02072017","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1970816770","https://openalex.org/W1982802818","https://openalex.org/W1985004680","https://openalex.org/W1994813296","https://openalex.org/W1998868738","https://openalex.org/W2006380387","https://openalex.org/W2007255973","https://openalex.org/W2007530725","https://openalex.org/W2015736664","https://openalex.org/W2027625462","https://openalex.org/W2047873598","https://openalex.org/W2073816666","https://openalex.org/W2082296130","https://openalex.org/W2138379775","https://openalex.org/W2144144709","https://openalex.org/W2155580296","https://openalex.org/W2977318642","https://openalex.org/W2981569720","https://openalex.org/W3141151088","https://openalex.org/W4210871879"],"related_works":["https://openalex.org/W4322731367","https://openalex.org/W4390225985","https://openalex.org/W4255298156","https://openalex.org/W2390086507","https://openalex.org/W2729625462","https://openalex.org/W2092811961","https://openalex.org/W2066191662","https://openalex.org/W1968004159","https://openalex.org/W2359827457","https://openalex.org/W2000942513"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
