{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T16:02:58Z","timestamp":1782316978662,"version":"3.54.5"},"reference-count":31,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"9","license":[{"start":{"date-parts":[[2009,9,1]],"date-time":"2009-09-01T00:00:00Z","timestamp":1251763200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst."],"published-print":{"date-parts":[[2009,9]]},"DOI":"10.1109\/tcad.2009.2024712","type":"journal-article","created":{"date-parts":[[2009,8,24]],"date-time":"2009-08-24T15:01:07Z","timestamp":1251126067000},"page":"1359-1372","source":"Crossref","is-referenced-by-count":35,"title":["$A$-Stable and $L$-Stable High-Order Integration Methods for Solving Stiff Differential Equations"],"prefix":"10.1109","volume":"28","author":[{"given":"E.","family":"Gad","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Nakhla","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"R.","family":"Achar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"family":"Yinghong Zhou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref31","first-page":"894","author":"sedra","year":"2004","journal-title":"Microelectronic Circuits"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1145\/1146909.1146974"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1002\/0470868279"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-3071-2"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.2307\/2005822"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2006.887476"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492906220014"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/0168-9274(93)90059-Z"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1989-0971403-5"},{"key":"ref17","first-page":"191","article-title":"sur les quadrature mecanique","volume":"65","author":"obreshkov","year":"1942","journal-title":"Akad Nauk"},{"key":"ref18","author":"bakerjr","year":"1975","journal-title":"Essentials of Pad\ufffd Approximants"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1002\/sapm19654411"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1002\/0470868279"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/55.119190"},{"key":"ref3","author":"gear","year":"1971","journal-title":"Numerical Initial Value Problems in Ordinary Differential Equations"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/22.898988"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1975.1084011"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/CICC.1997.606677"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1972.8562"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(97)00039-3"},{"key":"ref7","volume":"ii","author":"hairer","year":"1996","journal-title":"Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1971.1083221"},{"key":"ref9","author":"burrage","year":"1995","journal-title":"Parallel and Sequential Methods for Ordinary Differential Equations"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01963532"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/BF01933437"},{"key":"ref22","author":"baker","year":"1995","journal-title":"Pad\ufffd Approximants"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/BF01933119"},{"key":"ref24","author":"vlach","year":"1983","journal-title":"Computer Methods for Circuit Analysis and Design"},{"key":"ref23","first-page":"504","article-title":"The modified nodal approach to network analysis","volume":"cas 22","author":"ho","year":"1975","journal-title":"IEEE Trans Circuits Syst"},{"key":"ref26","author":"griewank","year":"2000","journal-title":"Evaluating Derivatives Principles and Applications of Algorithmic Differentiation"},{"key":"ref25","author":"ortega","year":"1970","journal-title":"Iterative Solution of Nonlinear Equations in Several Variables"}],"container-title":["IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/43\/5208458\/05208579.pdf?arnumber=5208579","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,23]],"date-time":"2021-12-23T19:56:50Z","timestamp":1640289410000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5208579\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,9]]},"references-count":31,"journal-issue":{"issue":"9"},"URL":"https:\/\/doi.org\/10.1109\/tcad.2009.2024712","relation":{},"ISSN":["0278-0070","1937-4151"],"issn-type":[{"value":"0278-0070","type":"print"},{"value":"1937-4151","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,9]]}}}