{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T23:18:51Z","timestamp":1773616731511,"version":"3.50.1"},"reference-count":9,"publisher":"Pleiades Publishing Ltd","issue":"2","license":[{"start":{"date-parts":[[2013,2,1]],"date-time":"2013-02-01T00:00:00Z","timestamp":1359676800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2013,2,1]],"date-time":"2013-02-01T00:00:00Z","timestamp":1359676800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Autom Remote Control"],"published-print":{"date-parts":[[2013,2]]},"DOI":"10.1134\/s0005117913020173","type":"journal-article","created":{"date-parts":[[2013,2,19]],"date-time":"2013-02-19T04:22:11Z","timestamp":1361247731000},"page":"325-330","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Analyzing the behavior of the explicit Runge-Kutta methods at the singular point in the two-body problem"],"prefix":"10.1134","volume":"74","author":[{"given":"A. V.","family":"Vyatkin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","published-online":{"date-parts":[[2013,2,19]]},"reference":[{"key":"9836_CR1","first-page":"15","volume-title":"Proc. of 2nd Conf. on Numerical Methods for Partial Differential Equations","author":"K. Feng","year":"1992","unstructured":"Feng, K., How to Compute Properly Newton\u2019s Equation of Motion?, in Proc. of 2nd Conf. on Numerical Methods for Partial Differential Equations, Ying, L.A. and Guo, B. Y., Eds., Singapore: World Scientific, 1992, pp. 15\u201322."},{"key":"9836_CR2","volume-title":"Mekhanika","author":"L.D. Landau","year":"1969","unstructured":"Landau, L.D. and Lifshits, E.M., Mekhanika (Mechanics), Moscow: Nauka, 1969."},{"key":"9836_CR3","volume-title":"Elements of Hamiltonian Mechanics","author":"D. ter Haar","year":"1971","unstructured":"ter Haar, D., Elements of Hamiltonian Mechanics, Oxford: Pergamon, 1971. Translated under the title Osnovy gamil\u2019tonovoi mekhaniki, Moscow: Nauka, 1974."},{"key":"9836_CR4","volume-title":"Yavnye metody dlya zhestkikh sistem","author":"E.A. Novikov","year":"1997","unstructured":"Novikov, E.A., Yavnye metody dlya zhestkikh sistem (Explicit Methods for Stiff Systems), Novosibirsk: Nauka, 1997."},{"issue":"2","key":"9836_CR5","first-page":"177","volume":"10","author":"L.V. Knaub","year":"2007","unstructured":"Knaub, L.V., Laevsky, Yu.M., and Novikov, E.A., Variable Order and Step Integrating Algorithm Based on the Explicit Two-Stage Runge-KuttaMethod, Sib. Zh. Vychisl. Mat., 2007, vol. 10, no. 2, pp. 177\u2013185.","journal-title":"Sib. Zh. Vychisl. Mat."},{"key":"9836_CR6","first-page":"110","volume-title":"Proc. Symp. Data Processing","author":"R.H. Merson","year":"1957","unstructured":"Merson, R.H., An Operational Method for the Study of Integration Processes, Proc. Symp. Data Processing, Salisbury: Weapons Res. Establ., 1957, pp. 110\u2013125."},{"key":"9836_CR7","unstructured":"Demidov, G.V. and Novikov, E.A., Program STEK (Modification of MERSON Program), Preprint of Computer Center, USSR Acad. Sci., Novosibirsk, 1981, no. 313."},{"issue":"5","key":"9836_CR8","first-page":"1058","volume":"277","author":"V.A. Novikov","year":"1984","unstructured":"Novikov, V.A. and Novikov, E.A., Control of the Stability of Explicit One-Step Methods of Integration of Ordinary Differential Equations, Dokl. Akad. Nauk SSSR, 1984, vol. 277, no. 5, pp. 1058\u20131062.","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"9836_CR9","first-page":"317","volume-title":"Vychislitel\u2019nye metody i programmirovanie","author":"A.E. Novikov","year":"2007","unstructured":"Novikov, A.E. and Novikov, E.A., An Algorithm of Variable Order and Step Based on Stages of the Dormand-Prince Method of the Eighth Order of Accuracy, in Vychislitel\u2019nye metody i programmirovanie (Numerical Methods and Programming), Moscow: Mosk. Gos. Univ., 2007, vol. 8, pp. 317\u2013325."}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117913020173.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117913020173","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117913020173","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117913020173.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:24:20Z","timestamp":1773613460000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117913020173"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,2]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,2]]}},"alternative-id":["9836"],"URL":"https:\/\/doi.org\/10.1134\/s0005117913020173","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,2]]},"assertion":[{"value":"29 July 2008","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 February 2013","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}