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LIQSS methods were designed to efficiently simulate stiff systems, but they only work when the system has a particular structure. The proposed modification overcomes this limitation, allowing the algorithms to efficiently simulate stiff systems with more general structures. Besides describing the new methods and their algorithmic descriptions, the article analyzes the algorithms performance in the simulation of some complex systems.<\/jats:p>","DOI":"10.1177\/0037549718766689","type":"journal-article","created":{"date-parts":[[2018,5,4]],"date-time":"2018-05-04T10:24:13Z","timestamp":1525429453000},"page":"127-144","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":12,"title":["Improving Linearly Implicit Quantized State System Methods"],"prefix":"10.1177","volume":"95","author":[{"given":"Franco","family":"Di Pietro","sequence":"first","affiliation":[{"name":"CIFASIS\u2013CONICET, Argentina"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gustavo","family":"Migoni","sequence":"additional","affiliation":[{"name":"CIFASIS\u2013CONICET, Argentina"},{"name":"Departamento de Control, FCEIA, Universidad Nacional de Rosario, Argentina"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ernesto","family":"Kofman","sequence":"additional","affiliation":[{"name":"CIFASIS\u2013CONICET, Argentina"},{"name":"Departamento de Control, FCEIA, Universidad Nacional de Rosario, Argentina"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2018,5,4]]},"reference":[{"key":"bibr1-0037549718766689","volume-title":"Continuous system simulation","author":"Cellier F","year":"2006"},{"key":"bibr2-0037549718766689","volume-title":"Solving ordinary differential equations I: Nonstiff problems","author":"Hairer E","year":"1993"},{"key":"bibr3-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-09947-6"},{"issue":"3","key":"bibr4-0037549718766689","first-page":"123","volume":"18","author":"Kofman E","year":"2001","journal-title":"Transact SCS"},{"key":"bibr5-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1016\/j.simpat.2013.03.004"},{"key":"bibr6-0037549718766689","first-page":"1084","volume-title":"Proceedings of the 2016 winter simulation conference","author":"Di Pietro F"},{"key":"bibr7-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1177\/0037549714536255"},{"key":"bibr8-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827502418379"},{"key":"bibr9-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1177\/0037549702078002206"},{"issue":"2","key":"bibr10-0037549718766689","first-page":"101","volume":"36","author":"Kofman E.","year":"2006","journal-title":"Latin Amer Appl Res"},{"key":"bibr11-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1177\/0037549710368029"},{"key":"bibr12-0037549718766689","first-page":"73","volume-title":"Proceedings of the 5th international Modelica conference","author":"Beltrame T"},{"key":"bibr13-0037549718766689","first-page":"229","volume-title":"13th IEEE international symposium on modeling, analysis, and simulation of computer and telecommunication systems","author":"D\u2019Abreu MC"},{"key":"bibr14-0037549718766689","first-page":"367","volume-title":"Proceedings of the 2007 summer computer simulation conference","author":"Quesnel G"},{"key":"bibr15-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1177\/0037549715616683"},{"key":"bibr16-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1177\/0037549715575197"},{"key":"bibr17-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2013.08.012"},{"key":"bibr18-0037549718766689","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.88.16.7328"}],"container-title":["SIMULATION"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0037549718766689","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0037549718766689","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0037549718766689","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T11:29:16Z","timestamp":1777634956000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0037549718766689"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,4]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["10.1177\/0037549718766689"],"URL":"https:\/\/doi.org\/10.1177\/0037549718766689","relation":{},"ISSN":["0037-5497","1741-3133"],"issn-type":[{"value":"0037-5497","type":"print"},{"value":"1741-3133","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,4]]}}}