{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,20]],"date-time":"2025-06-20T09:47:17Z","timestamp":1750412837574,"version":"3.37.3"},"reference-count":8,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2018,12,12]],"date-time":"2018-12-12T00:00:00Z","timestamp":1544572800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1007\/s11075-018-0643-7","type":"journal-article","created":{"date-parts":[[2018,12,11]],"date-time":"2018-12-11T22:29:24Z","timestamp":1544567364000},"page":"1311-1325","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Trees and B-series"],"prefix":"10.1007","volume":"81","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6499-9851","authenticated-orcid":false,"given":"J. C.","family":"Butcher","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,12,12]]},"reference":[{"key":"643_CR1","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1017\/S1446788700027932","volume":"3","author":"JC Butcher","year":"1963","unstructured":"Butcher, J.C.: Coefficients for the study of Runge\u2013Kutta integration processes. J. Austral. Math. Soc. 3, 185\u2013201 (1963)","journal-title":"J. Austral. Math. Soc."},{"key":"643_CR2","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1090\/S0025-5718-1972-0305608-0","volume":"26","author":"JC Butcher","year":"1972","unstructured":"Butcher, J.C.: An algebraic theory of integration methods. Math. Comput. 26, 79\u2013106 (1972)","journal-title":"Math. Comput."},{"key":"643_CR3","doi-asserted-by":"publisher","first-page":"172","DOI":"10.1080\/14786445708642275","volume":"13","author":"A Cayley","year":"1857","unstructured":"Cayley, A.: On the theory of the analytical forms called trees. Phil. Mag. 13, 172\u2013176 (1857)","journal-title":"Phil. Mag."},{"key":"643_CR4","doi-asserted-by":"publisher","first-page":"691","DOI":"10.1007\/s10915-017-0441-8","volume":"73","author":"D Ditkowski","year":"2017","unstructured":"Ditkowski, D., Gottlieb, S.: Error inhibiting block one-step schemes for ordinary differential equations. J. Sci. Comput. 73, 691\u2013711 (2017)","journal-title":"J. Sci. Comput."},{"key":"643_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF02268387","volume":"13","author":"E Hairer","year":"1974","unstructured":"Hairer, E., Wanner, G.: On the Butcher group and general multi-value methods. Computing 13, 1\u201315 (1974)","journal-title":"Computing"},{"issue":"Class III","key":"643_CR6","first-page":"31","volume":"23","author":"J \u0141ukasiewicz","year":"1930","unstructured":"\u0141ukasiewicz, J., Tarski, J.: Comp. rend. Soc. Sci. Lett. Warsaw 23(Class III), 31\u201332 (1930)","journal-title":"Comp. rend. Soc. Sci. Lett. Warsaw"},{"key":"643_CR7","unstructured":"Merson, R.H.: An operational method for the study of integration processes. In: Proc. Symp. Data Processing, Weapons Research Establishment. Salisbury (1957)"},{"key":"643_CR8","unstructured":"Sweedler, M.: Hopf Algebras, Benjamin. New York (1969)"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-018-0643-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-018-0643-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-018-0643-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,12,11]],"date-time":"2019-12-11T19:17:55Z","timestamp":1576091875000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-018-0643-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,12,12]]},"references-count":8,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2019,8]]}},"alternative-id":["643"],"URL":"https:\/\/doi.org\/10.1007\/s11075-018-0643-7","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"type":"print","value":"1017-1398"},{"type":"electronic","value":"1572-9265"}],"subject":[],"published":{"date-parts":[[2018,12,12]]},"assertion":[{"value":"2 July 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 November 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 December 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}