{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,6]],"date-time":"2022-04-06T03:51:54Z","timestamp":1649217114023},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[1986,3,1]],"date-time":"1986-03-01T00:00:00Z","timestamp":510019200000},"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":[[1986,3]]},"DOI":"10.1007\/bf02238190","type":"journal-article","created":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T17:21:34Z","timestamp":1131988894000},"page":"35-41","source":"Crossref","is-referenced-by-count":11,"title":["The order of B-convergence of the Gaussian Runge-Kutta method"],"prefix":"10.1007","volume":"36","author":[{"given":"K.","family":"Dekker","sequence":"first","affiliation":[]},{"given":"J. F. B. M.","family":"Kraaijevanger","sequence":"additional","affiliation":[]},{"given":"M. N.","family":"Spijker","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02238190_CR1","series-title":"Tech. Rep. 84-13","volume-title":"Stability of collocation at Gaussian points","author":"V. Ascher","year":"1984","unstructured":"Ascher, V., Bader, G.: Stability of collocation at Gaussian points. Tech. Rep. 84-13, Departm. Comp. Sc. Univ. British Columbia, Vancouver (1984)."},{"key":"BF02238190_CR2","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1137\/0716004","volume":"16","author":"K. Burrage","year":"1979","unstructured":"Burrage, K., Butcher, J. C.: Stability criteria for implicit Runge-Kutta methods. SIAM J. Numer. Anal.16, 46\u201357 (1979).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02238190_CR3","unstructured":"Burrage, K., Hundsdorfer, W. H., Verwer, J. G.: A study ofB-convergence of Runge-Kutta methods. Computing (this issue)."},{"key":"BF02238190_CR4","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/BF01397651","volume":"32","author":"M. Crouzeix","year":"1979","unstructured":"Crouzeix, M.: Sur laB-stabilit\u00e9 des m\u00e9thodes de Runge-Kutta. Numer. Math.32, 75\u201382 (1979).","journal-title":"Numer. Math."},{"key":"BF02238190_CR5","unstructured":"Crouzeix, M., Raviart, P. D.: M\u00e9thodes de Runge-Kutta. Lecture notes, Universit\u00e9 de Rennes (1980)."},{"key":"BF02238190_CR6","volume-title":"Stability of Runge-Kutta methods for stiff nonlinear differential equations. Amsterdam","author":"K. Dekker","year":"1984","unstructured":"Dekker, K., Verwer, J. G.: Stability of Runge-Kutta methods for stiff nonlinear differential equations. Amsterdam, New York, Oxford: North Holland Publ. Comp. (1984)."},{"key":"BF02238190_CR7","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1137\/0722031","volume":"22","author":"R. Frank","year":"1985","unstructured":"Frank, R., Schneid, J., Ueberhuber, C. W.: Order results for implicit Runge-Kutta methods applied to stiff systems. SIAM J. Numer. Anal.22, 515\u2013534 (1985).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02238190_CR8","doi-asserted-by":"crossref","unstructured":"Kraaijevanger, J. F. B. M.:B-convergence of the implicit midpoint rule and the trapezoidal rule. Rep. 01-85, Inst. Appl. Math. Comp. Sc. Univ. Leiden (1985). To appear in BIT.","DOI":"10.1007\/BF01936143"},{"key":"BF02238190_CR9","unstructured":"Montijano, J. I.: Estudio de los metodos SIRK para la resolucion num\u00e9rica de ecuaciones diferenciales de tipo stiff. Thesis, University of Zaragoza (1983)."},{"key":"BF02238190_CR10","unstructured":"Stetter, H. J.: ZurB-Konvergenz der impliziten Trapez- und Mittelpunktregel. Unpublished note (1982)."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02238190.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02238190\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02238190","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T21:29:01Z","timestamp":1586554141000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02238190"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1986,3]]},"references-count":10,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[1986,3]]}},"alternative-id":["BF02238190"],"URL":"https:\/\/doi.org\/10.1007\/bf02238190","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1986,3]]}}}