{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T11:17:25Z","timestamp":1780571845549,"version":"3.54.1"},"reference-count":34,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2005,1]]},"DOI":"10.1137\/030601144","type":"journal-article","created":{"date-parts":[[2005,9,8]],"date-time":"2005-09-08T01:00:16Z","timestamp":1126141216000},"page":"67-92","source":"Crossref","is-referenced-by-count":27,"title":["Multigrid Methods for Implicit Runge--Kutta and Boundary Value Method Discretizations of Parabolic PDEs"],"prefix":"10.1137","volume":"27","author":[{"given":"Jan","family":"Van Lent","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stefan","family":"Vandewalle","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1080\/10236199508808034"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827599353476"},{"key":"R3","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/s100920300004","volume":"40","author":"Bertaccini Daniele","year":"2003","journal-title":"Calcolo"},{"key":"R4","volume-title":"Solving differential problems by multistep initial and boundary value methods","author":"Brugnano L.","year":"1998"},{"key":"R5","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534327.001.0001","volume-title":"Parallel and sequential methods for ordinary differential equations","author":"Burrage Kevin","year":"1995"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1002\/0470868279"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/21.2.451"},{"key":"R8","volume-title":"Solving ordinary differential equations. I","author":"Hairer E.","year":"1993"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-05221-7"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1137\/0916050"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-9274(98)00039-7"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827597325785"},{"key":"R13","first-page":"59","volume":"1","author":"Iavernaro F.","year":"2001","journal-title":"Nonlinear Dyn. Syst. Theory"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1137\/0733024"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1137\/0917011"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.1982.1270004"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/3.4.439"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1007\/BF01934186"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1137\/S106482759528778X"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1137\/0908046"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1007\/BF01937277"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1016\/0168-9274(95)00020-U"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19950750402"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8191(88)90003-8"},{"key":"R26","volume-title":"Multigrid","author":"Trottenberg U.","year":"2001"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021191719400"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-322-94761-1"},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827596305829"},{"key":"R30","volume-title":"An introduction to multigrid methods","author":"Wesseling Pieter","year":"1992"},{"key":"R31","volume-title":"Relaxation techniques for the simulation of VLSI circuits","author":"White Jacob","year":"1987"},{"key":"R32","first-page":"95","volume":"2","author":"White J.","year":"1985","journal-title":"Trans. Soc. for Comput. Simulation","ISSN":"https:\/\/id.crossref.org\/issn\/0740-6797","issn-type":"print"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1137\/S106482750037367X"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827599353014"},{"key":"R35","doi-asserted-by":"publisher","DOI":"10.1137\/0911049"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/030601144","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,29]],"date-time":"2024-01-29T14:17:34Z","timestamp":1706537854000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/030601144"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,1]]},"references-count":34,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2005,1]]}},"alternative-id":["10.1137\/030601144"],"URL":"https:\/\/doi.org\/10.1137\/030601144","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,1]]}}}