{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T18:32:07Z","timestamp":1761762727934},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1995,9,1]],"date-time":"1995-09-01T00:00:00Z","timestamp":809913600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1995,9]]},"DOI":"10.1007\/bf02238433","type":"journal-article","created":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T17:39:24Z","timestamp":1131989964000},"page":"223-236","source":"Crossref","is-referenced-by-count":8,"title":["Interpolating Runge-Kutta methods for vanishing delay differential equations"],"prefix":"10.1007","volume":"55","author":[{"given":"W. H.","family":"Enright","sequence":"first","affiliation":[]},{"given":"M.","family":"Hu","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02238433_CR1","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0377-0427(90)90198-9","volume":"29","author":"M. Calvo","year":"1990","unstructured":"Calvo, M., Montijano, J. I., R\u00e1ndez, L.: A fifth order interpolant for the Dormand and Prince Runge-Kutta method. J. Comp. Appl. Math.29, 91\u2013100 (1990).","journal-title":"J. Comp. Appl. Math."},{"key":"BF02238433_CR2","first-page":"288","volume":"31","author":"W. H. Enright","year":"1989","unstructured":"Enright, W. H.: A new error-control for initial value solvers. Appl. Math. Comput.31, 288\u2013301 (1989).","journal-title":"Appl. Math. Comput."},{"key":"BF02238433_CR3","doi-asserted-by":"crossref","first-page":"1419","DOI":"10.1137\/0730074","volume":"30","author":"W. H. Enright","year":"1993","unstructured":"Enright, W. H.: The relative efficiency of alternative defect control schemes for high order continuous Runge-Kutta formulas. SIAM J. Numer. Anal.30, 1419\u20131445 (1993).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02238433_CR4","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1145\/7921.7923","volume":"12","author":"W. H. Enright","year":"1986","unstructured":"Enright, W. H., Jackson, K. R., N\u00f8rsett, Thomsen, P. G.: Interpolants for Runge-Kutta formulas. ACM Trans. Math. Software12, 193\u2013218 (1986).","journal-title":"ACM Trans. Math. Software"},{"key":"BF02238433_CR5","volume-title":"Interpolating Runge-Kutta methods for vanishing delay differential equations","author":"W. H. Enright","year":"1994","unstructured":"Enright, W. H., Hu, M.: Interpolating Runge-Kutta methods for vanishing delay differential equations. Rep. 292, Dept. of Computer Science, Univ. of Toronto, Canada, 1994."},{"key":"BF02238433_CR6","unstructured":"Hayashi, H., Enright, W. H.: A new algorithm for vanishing delay problems, CAMS annual meeting, May 30\u2013June 2, 1993, York University (invited oral presentation)."},{"key":"BF02238433_CR7","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1137\/0720036","volume":"20","author":"M. K. Horn","year":"1983","unstructured":"Horn, M. K.: Fourth- and fifty-order, scaled Runge-Kutta algorithms for treating dense output. SIAM J. Numer. Anal.20, 558\u2013568 (1983).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02238433_CR8","unstructured":"Hull, T. E., Enright, W. H., Jackson, K. R.: User's guide for DVERK \u2014 A subroutine for solving nonstiff ODE's. Rep. 100, Dept. of Computer Science, Univ. of Toronto, 1976."},{"key":"BF02238433_CR9","unstructured":"Karoui, A., Vaillancourt, R.: A numerical method for vanishing-lag delay differential equations. Private communication, 1993."},{"key":"BF02238433_CR10","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1145\/355656.355661","volume":"1","author":"K. W. Neves","year":"1986","unstructured":"Neves, K. W.: Automatic integration of functional differential equations: An approach, ACM Trans. Math. Software1, 357\u2013368 (1986).","journal-title":"ACM Trans. Math. Software"},{"key":"BF02238433_CR11","unstructured":"Neves, K. W., Thomson, S.: Solution of systems of functional differential equations with state dependent delays. Technical Report TR-92-003, Computer Science, Radford University, 1992."},{"key":"BF02238433_CR12","doi-asserted-by":"crossref","first-page":"1488","DOI":"10.1137\/0913084","volume":"13","author":"B. Owren","year":"1992","unstructured":"Owren, B., Zennaro, M.: Derivation of efficient, continuous, explicit Runge-Kutta methods. SIAM J. Sci. Stat. Comput.13, 1488\u20131501 (1992).","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"BF02238433_CR13","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1016\/0168-9274(92)90030-H","volume":"9","author":"C. A. H. Paul","year":"1992","unstructured":"Paul, C. A. H.: Developing a delay differential equation solver. Appl. Numer. Math.9, 403\u2013414 (1992).","journal-title":"Appl. Numer. Math."},{"key":"BF02238433_CR14","unstructured":"Sharp, P. W., Smart, E.: Private communication (1990)."},{"key":"BF02238433_CR15","doi-asserted-by":"crossref","first-page":"786","DOI":"10.1137\/0708072","volume":"8","author":"L. Tavernini","year":"1971","unstructured":"Tavernini, L.: One-step methods for the numerical solution of Volterra functional differential equations. SIAM J. Numer. Anal.8, 786\u2013795 (1971).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02238433_CR16","doi-asserted-by":"crossref","first-page":"1446","DOI":"10.1137\/0730075","volume":"30","author":"Verner","year":"1993","unstructured":"Verner: Differentiable interpolants for high-order Runge-Kutta methods. SIAM J. Numer. Anal.30, 1446\u20131466 (1993).","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02238433.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02238433\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02238433","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T17:12:56Z","timestamp":1557940376000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02238433"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,9]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1995,9]]}},"alternative-id":["BF02238433"],"URL":"https:\/\/doi.org\/10.1007\/bf02238433","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,9]]}}}