{"id":"https://openalex.org/W2008757583","doi":"https://doi.org/10.1016/0097-8485(89)85002-8","title":"A matrix series method for the integration of rate equations in a reaction network. An alternative to Runge-Kutta methods","display_name":"A matrix series method for the integration of rate equations in a reaction network. An alternative to Runge-Kutta methods","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W2008757583","doi":"https://doi.org/10.1016/0097-8485(89)85002-8","mag":"2008757583"},"language":"en","primary_location":{"id":"doi:10.1016/0097-8485(89)85002-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8485(89)85002-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210194753","display_name":"Computers & Chemistry","issn_l":"0097-8485","issn":["0097-8485","1879-0763"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Chemistry","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/A5083111590","display_name":"Thomas M. Zamis","orcid":null},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas M. Zamis","raw_affiliation_strings":["Colorado School Of Mines"],"affiliations":[{"raw_affiliation_string":"Colorado School Of Mines","institution_ids":["https://openalex.org/I167576493"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109031340","display_name":"Lawrence J. Parkhurst","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lawrence J. Parkhurst","raw_affiliation_strings":["Chemistry"],"affiliations":[{"raw_affiliation_string":"Chemistry","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112061461","display_name":"G. A. Gallup","orcid":null},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gordon A. Gallup","raw_affiliation_strings":["#N##TAB##TAB##TAB##TAB# University of Nebraska-Lincoln#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# University of Nebraska-Lincoln#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I114395901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083111590"],"corresponding_institution_ids":["https://openalex.org/I167576493"],"apc_list":null,"apc_paid":null,"fwci":0.3389,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.55972033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"3","first_page":"165","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10913","display_name":"Molecular Junctions and Nanostructures","score":0.992900013923645,"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":0.6219704151153564},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5927361249923706},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5187080502510071},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4977474510669708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43962588906288147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36275094747543335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.263163685798645},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.18221822381019592},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.11653324961662292},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.10161030292510986},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.05493012070655823}],"concepts":[{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.6219704151153564},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5927361249923706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5187080502510071},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4977474510669708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43962588906288147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36275094747543335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.263163685798645},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.18221822381019592},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.11653324961662292},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.10161030292510986},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.05493012070655823},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-8485(89)85002-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8485(89)85002-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210194753","display_name":"Computers & Chemistry","issn_l":"0097-8485","issn":["0097-8485","1879-0763"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Chemistry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6100000143051147,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W2020585659","https://openalex.org/W2022772618","https://openalex.org/W2043473124","https://openalex.org/W2087070363","https://openalex.org/W2096561413","https://openalex.org/W2154876043","https://openalex.org/W2158734140","https://openalex.org/W2161146662","https://openalex.org/W2314184572","https://openalex.org/W2322998621","https://openalex.org/W2323840859","https://openalex.org/W4232490181"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W4206768127","https://openalex.org/W2007980826","https://openalex.org/W4213270568","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
