{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,30]],"date-time":"2025-09-30T00:17:40Z","timestamp":1759191460027,"version":"3.41.2"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"1-4","license":[{"start":{"date-parts":[[2002,12,1]],"date-time":"2002-12-01T00:00:00Z","timestamp":1038700800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,12,1]],"date-time":"2002-12-01T00:00:00Z","timestamp":1038700800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numerical Algorithms"],"published-print":{"date-parts":[[2002,12]]},"DOI":"10.1023\/a:1021152005287","type":"journal-article","created":{"date-parts":[[2003,3,21]],"date-time":"2003-03-21T00:40:25Z","timestamp":1048207225000},"page":"75-85","source":"Crossref","is-referenced-by-count":12,"title":["Error Estimation for Nordsieck Methods"],"prefix":"10.1007","volume":"31","author":[{"given":"J.C.","family":"Butcher","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Z.","family":"Jackiewicz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5092757_CR1","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/0168-9274(93)90059-Z","volume":"11","author":"J.C. Butcher","year":"1993","unstructured":"J.C. Butcher, Diagonally-implicit multi-stage integration methods, Appl. Numer. Math. 11 (1993) 347\u2013363.","journal-title":"Appl. Numer. Math."},{"key":"5092757_CR2","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1023\/A:1019195215402","volume":"16","author":"J.C. Butcher","year":"1997","unstructured":"J.C. Butcher, P. Chartier and Z. Jackiewicz, Nordsieck representation of DIMSIMs, Numer. Algorithms 16 (1997) 209\u2013230.","journal-title":"Numer. Algorithms"},{"key":"5092757_CR3","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1023\/A:1019135630307","volume":"22","author":"J.C. Butcher","year":"1999","unstructured":"J.C. Butcher, P. Chartier and Z. Jackiewicz, Experiments with a variable-order type 1 DIMSIM code, Numer. Algorithms 22 (1999) 237\u2013261.","journal-title":"Numer. Algorithms"},{"key":"5092757_CR4","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/S0168-9274(96)00043-8","volume":"21","author":"J.C. Butcher","year":"1996","unstructured":"J.C. Butcher and Z. Jackiewicz, Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations, Appl. Numer. Math. 21 (1996) 385\u2013415.","journal-title":"Appl. Numer. Math."},{"key":"5092757_CR5","doi-asserted-by":"crossref","first-page":"2119","DOI":"10.1137\/S0036142995282509","volume":"34","author":"J.C. Butcher","year":"1997","unstructured":"J.C. Butcher and Z. Jackiewicz, Implementation of diagonally implicit multistage integration methods for ordinary differential equations, SIAM J. Numer. Anal. 34 (1997) 2119\u20132141.","journal-title":"SIAM J. Numer. Anal."},{"key":"5092757_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0168-9274(97)00109-8","volume":"27","author":"J.C. Butcher","year":"1998","unstructured":"J.C. Butcher and Z. Jackiewicz, Construction of high order diagonally implicit multistage integration methods for ordinary differential equations, Appl. Numer. Math. 27 (1998) 1\u201312.","journal-title":"Appl. Numer. Math."},{"key":"5092757_CR7","doi-asserted-by":"crossref","first-page":"656","DOI":"10.1023\/A:1021987717046","volume":"41","author":"J.C. Butcher","year":"2001","unstructured":"J.C. Butcher and Z. Jackiewicz, A reliable error estimation for diagonally implicit integration methods, BIT 41 (2001) 656\u2013665.","journal-title":"BIT"},{"key":"5092757_CR8","volume-title":"Solving Ordinary Differential Equations I. Nonstiff Problems","author":"E. Hairer","year":"1993","unstructured":"E. Hairer, S.P. N\u00b8rsett and G. Wanner, Solving Ordinary Differential Equations I. Nonstiff Problems (Springer, Berlin, 1993)."},{"key":"5092757_CR9","unstructured":"Z. Jackiewicz, Implementation of DIMSIMs for stiff differential systems, to appear in Appl. Numer. Math."},{"key":"5092757_CR10","volume-title":"Numerical Solution of Ordinary Differential Equations","author":"L.F. Shampine","year":"1994","unstructured":"L.F. Shampine, Numerical Solution of Ordinary Differential Equations (Chapman & Hall, New York\/London, 1994)."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1021152005287.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1021152005287\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1021152005287.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:09:47Z","timestamp":1751872187000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1021152005287"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,12]]},"references-count":10,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2002,12]]}},"alternative-id":["5092757"],"URL":"https:\/\/doi.org\/10.1023\/a:1021152005287","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"type":"print","value":"1017-1398"},{"type":"electronic","value":"1572-9265"}],"subject":[],"published":{"date-parts":[[2002,12]]}}}