{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T18:55:08Z","timestamp":1780340108353,"version":"3.54.1"},"reference-count":27,"publisher":"American Mathematical Society (AMS)","issue":"261","license":[{"start":{"date-parts":[[2008,9,13]],"date-time":"2008-09-13T00:00:00Z","timestamp":1221264000000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>In this paper, we propose two integration processes for ordinary differential equations based on modified Laguerre-Radau interpolations, which are very efficient for long-time numerical simulations of dynamical systems. The global convergence of proposed algorithms are proved. Numerical results demonstrate the spectral accuracy of these new approaches and coincide well with theoretical analysis.<\/p>","DOI":"10.1090\/s0025-5718-07-02035-2","type":"journal-article","created":{"date-parts":[[2007,10,29]],"date-time":"2007-10-29T06:30:33Z","timestamp":1193639433000},"page":"181-199","source":"Crossref","is-referenced-by-count":22,"title":["Integration processes of ordinary differential equations based on Laguerre-Radau interpolations"],"prefix":"10.1090","volume":"77","author":[{"given":"Ben-Yu","family":"Guo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhong-Qing","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hong-Jiong","family":"Tian","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Li-Lian","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"14","published-online":{"date-parts":[[2007,9,13]]},"reference":[{"issue":"4","key":"1","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1002\/num.1690050407","article-title":"The \u210e-\ud835\udc5d version of the finite element method for parabolic equations. 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