{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,9]],"date-time":"2025-09-09T21:54:45Z","timestamp":1757454885658},"reference-count":19,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2003,10,1]],"date-time":"2003-10-01T00:00:00Z","timestamp":1064966400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,29]],"date-time":"2013-07-29T00:00:00Z","timestamp":1375056000000},"content-version":"vor","delay-in-days":3589,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electronic Notes in Theoretical Computer Science"],"published-print":{"date-parts":[[2003,10]]},"DOI":"10.1016\/s1571-0661(04)80774-6","type":"journal-article","created":{"date-parts":[[2004,9,29]],"date-time":"2004-09-29T12:47:47Z","timestamp":1096462067000},"page":"189-206","source":"Crossref","is-referenced-by-count":2,"special_numbering":"C","title":["On the construction of a new generalization of Runge\u2013Kutta methods"],"prefix":"10.1016","volume":"74","author":[{"given":"Mark","family":"Sofroniou","sequence":"first","affiliation":[]},{"given":"Giulia","family":"Spaletta","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB1","series-title":"\u201cHandbook of Mathematical Functions\u201d","author":"Abramowitz","year":"1970"},{"issue":"117","key":"10.1016\/S1571-0661(04)80774-6_NEWBIB2","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1090\/S0025-5718-1972-0305608-0","article-title":"An algebraic theory of integration methods","volume":"26","author":"Butcher","year":"1972","journal-title":"Math. of Comp"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB3","series-title":"\u201cThe Numerical Analysis of Ordinary Differential Equations,\u201d","author":"Butcher","year":"1987"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB4","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/S0168-9274(96)00028-1","article-title":"The number of conditions for a Runge-Kutta method to have effective order p","volume":"22","author":"Butcher","year":"1996","journal-title":"Appl. Number. Math"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02268387","article-title":"On the Butcher group and general multi-value methods","volume":"13","author":"Hairer","year":"1974","journal-title":"computing"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB6","series-title":"\u201cSolving Ordinary Differential Equations I: Nonstiff Problems\u201d","author":"Hairer","year":"1993"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB7","series-title":"\u201cSolving Ordinary Differential Equations II: Stiff and Differential Algebraic Problems\u201d","author":"Hairer","year":"1996"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB8","series-title":"\u201cGeometric Numerical Integration\u201d","author":"Hairer","year":"2002"},{"issue":"1","key":"10.1016\/S1571-0661(04)80774-6_NEWBIB9","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1007\/BF01935017","article-title":"The non-existence of symplectic multi-derivative Runge-Kutta methods","volume":"34","author":"Hairer","year":"1994","journal-title":"BIT"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB10","series-title":"\u201cGraph Theory,\u201d","author":"Harary","year":"1969"},{"issue":"2","key":"10.1016\/S1571-0661(04)80774-6_NEWBIB11","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/BF02512370","article-title":"Runge-Kutta methods for quadratic ordinary differential equations","volume":"38","author":"Iserles","year":"1998","journal-title":"BIT"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB12","first-page":"9","article-title":"Range Kutta processes with multiple nodes","volume":"9","author":"Kastlunger","year":"1972","journal-title":"Computing (Arch. Elektron. Rechnen)"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB13","series-title":"\u201cThe ARt of Computer Programming: Seminumerical Algorithms\u201d","author":"Knuth","year":"1998"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB14","series-title":"\u201cIntroduction to Mechanics and Symmetry,\u201d","author":"Marsden","year":"1994"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB15","unstructured":"R. H. Merson, An operational method for the study of integration processes, Proc. Symp. Data Processing, Weapons Research Establishment, Salisbury, Australia, 110 (1957), 1\u201325"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB16","doi-asserted-by":"crossref","unstructured":"Moan, P. C., Quispel, R. G. W., Sofroniou M., and Spaletta G., Symplectic elementary differential Runge-Kutta methods, in preparation (2003).","DOI":"10.1016\/S1571-0661(04)80774-6"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB17","series-title":"applied Mathematics and Mathematical Computation 7","article-title":"Numerical Hamiltonian Problems","author":"Sanz-Serna","year":"1994"},{"issue":"3","key":"10.1016\/S1571-0661(04)80774-6_NEWBIB18","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1006\/jsco.1994.1048","article-title":"Symbolic derivation of Runge-Kutta methods","volume":"18","author":"Sofroniou","year":"1994","journal-title":"J. Symb. Comp"},{"key":"10.1016\/S1571-0661(04)80774-6_NEWBIB19","doi-asserted-by":"crossref","first-page":"2063","DOI":"10.1137\/S0036142995281024","article-title":"Symplectic Runge-Kutta schemes I: order conditions","volume":"34","author":"Sofroniou","year":"1997","journal-title":"SIAM J. Num. Anal"}],"container-title":["Electronic Notes in Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1571066104807746?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1571066104807746?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,2,3]],"date-time":"2019-02-03T05:54:02Z","timestamp":1549173242000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1571066104807746"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,10]]},"references-count":19,"alternative-id":["S1571066104807746"],"URL":"https:\/\/doi.org\/10.1016\/s1571-0661(04)80774-6","relation":{},"ISSN":["1571-0661"],"issn-type":[{"value":"1571-0661","type":"print"}],"subject":[],"published":{"date-parts":[[2003,10]]}}}