{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T10:29:23Z","timestamp":1778495363747,"version":"3.51.4"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,11,25]],"date-time":"2014-11-25T00:00:00Z","timestamp":1416873600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2015,9]]},"DOI":"10.1007\/s00211-014-0684-3","type":"journal-article","created":{"date-parts":[[2014,12,2]],"date-time":"2014-12-02T13:32:17Z","timestamp":1417527137000},"page":"173-198","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Automatic integration using asymptotically optimal adaptive Simpson quadrature"],"prefix":"10.1007","volume":"131","author":[{"given":"Leszek","family":"Plaskota","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,11,25]]},"reference":[{"key":"684_CR1","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1090\/S0025-5718-00-01174-1","volume":"69","author":"D Calvetti","year":"2000","unstructured":"Calvetti, D., Golub, G.H., Gragg, W.B., Reichel, L.: Computation of Gauss-Kronrod quadrature rules. Math. Comput. 69, 1035\u20131052 (2000)","journal-title":"Math. Comput."},{"key":"684_CR2","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.jco.2013.09.002","volume":"30","author":"N Clancy","year":"2014","unstructured":"Clancy, N., Ding, Y., Hamilton, C., Hickernell, F.J., Zhang, Y.: The cost of deterministic, adaptive, automatic algorithms: cones, not balls. J. Complex. 30, 21\u201345 (2014)","journal-title":"J. Complex."},{"key":"684_CR3","volume-title":"Elementary numerical analysis\u2014an algorithmic approach","author":"SD Conte","year":"1980","unstructured":"Conte, S.D., de Boor, C.: Elementary numerical analysis\u2014an algorithmic approach, 3rd edn. McGraw-Hill, New York (1980)","edition":"3"},{"key":"684_CR4","volume-title":"Methods of numerical integration","author":"PJ Davis","year":"1984","unstructured":"Davis, P.J., Rabinowitz, P.: Methods of numerical integration, 2nd edn. Academic Press, Orlando (1984)","edition":"2"},{"key":"684_CR5","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1023\/A:1022318402393","volume":"40","author":"W Gander","year":"2000","unstructured":"Gander, W., Gautschi, W.: Adaptive quadrature\u2014revisited. BIT 40, 84\u2013101 (2000)","journal-title":"BIT"},{"key":"684_CR6","unstructured":"Kincaid, D., Cheney, W.: Numerical analysis: mathematics of scientific computing, 3rd edn. AMS, Providence, RI (2002)"},{"key":"684_CR7","unstructured":"Kruk, A.: Is the adaptive Simpson quadrature optimal? Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Master Thesis (in Polish) (2012)"},{"key":"684_CR8","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1145\/321526.321537","volume":"16","author":"JN Lyness","year":"1969","unstructured":"Lyness, J.N.: Notes on the adaptive Simpson quadrature routine. J. Assoc. Comput. Mach. 16, 483\u2013495 (1969)","journal-title":"J. Assoc. Comput. Mach."},{"key":"684_CR9","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1137\/1025003","volume":"25","author":"JN Lyness","year":"1983","unstructured":"Lyness, J.N.: When not to use an automatic quadrature routine? SIAM Rev. 25, 63\u201387 (1983)","journal-title":"SIAM Rev."},{"key":"684_CR10","doi-asserted-by":"crossref","first-page":"604","DOI":"10.1145\/355580.369102","volume":"5","author":"WM McKeeman","year":"1962","unstructured":"McKeeman, W.M.: Algorithm 145: adaptive numerical integration by Simpson\u2019s rule. Commun. ACM 5, 604 (1962)","journal-title":"Commun. ACM"},{"key":"684_CR11","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1145\/355637.355640","volume":"1","author":"MA Malcolm","year":"1975","unstructured":"Malcolm, M.A., Simpson, R.B.: Local versus global strategies for adaptive quadrature. ACM Trans. Math. Softw. 1, 129\u2013146 (1975)","journal-title":"ACM Trans. Math. Softw."},{"key":"684_CR12","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1006\/jcom.1996.0015","volume":"12","author":"E Novak","year":"1996","unstructured":"Novak, E.: On the power of adaption. J. Complex. 12, 199\u2013238 (1996)","journal-title":"J. Complex."},{"key":"684_CR13","doi-asserted-by":"crossref","unstructured":"Piessens, R., de Doncker-Kapenga, E., Uberhuber, C.W., Kahaner, D.K.: QUADPACK. A subroutine package for automatic integration. Springer, Berlin (1983)","DOI":"10.1007\/978-3-642-61786-7"},{"key":"684_CR14","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511600814","volume-title":"Noisy Information and computational complexity","author":"L Plaskota","year":"1996","unstructured":"Plaskota, L.: Noisy Information and computational complexity. Cambridge University Press, Cambridge (1996)"},{"key":"684_CR15","volume-title":"Numerical recipes: the art of scientific computing","author":"WH Press","year":"2007","unstructured":"Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical recipes: the art of scientific computing, 3rd edn. Cambridge University Press, New York (2007)","edition":"3"},{"key":"684_CR16","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/s00211-005-0640-3","volume":"102","author":"L Plaskota","year":"2005","unstructured":"Plaskota, L., Wasilkowski, G.W.: Adaption allows efficient integration of functions with unknown singularities. Numerische Mathematik 102, 123\u2013144 (2005)","journal-title":"Numerische Mathematik"},{"key":"684_CR17","volume-title":"Information-based complexity","author":"JF Traub","year":"1988","unstructured":"Traub, J.F., Wasilkowski, G.W., Wo\u017aniakowski, H.: Information-based complexity. Academic Press, New York (1988)"},{"key":"684_CR18","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/0885-064X(85)90023-8","volume":"1","author":"GW Wasilkowski","year":"1986","unstructured":"Wasilkowski, G.W.: Information of varying cardinality. J. Complex. 1, 107\u2013117 (1986)","journal-title":"J. Complex."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-014-0684-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-014-0684-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-014-0684-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,18]],"date-time":"2019-08-18T01:52:04Z","timestamp":1566093124000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-014-0684-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,25]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,9]]}},"alternative-id":["684"],"URL":"https:\/\/doi.org\/10.1007\/s00211-014-0684-3","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,25]]}}}