{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T00:56:49Z","timestamp":1775091409426,"version":"3.50.1"},"reference-count":32,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2006,1]]},"DOI":"10.1137\/040615584","type":"journal-article","created":{"date-parts":[[2008,2,11]],"date-time":"2008-02-11T19:47:29Z","timestamp":1202759249000},"page":"908-935","source":"Crossref","is-referenced-by-count":10,"title":["Numerical Cubature from Archimedes' Hat-box Theorem"],"prefix":"10.1137","volume":"44","author":[{"given":"Greg","family":"Kuperberg","sequence":"first","affiliation":[]}],"member":"351","reference":[{"key":"R1","volume-title":"Handbook of mathematical functions with formulas, graphs, and mathematical tables","author":"Abramowitz Milton","year":"1992"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2003.157.689"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-6568-7"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1007\/s006070050018"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-01-01326-6"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-96-00767-3"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/14\/2\/006"},{"key":"R9","first-page":"272","volume":"27","author":"Delsarte P.","year":"1972","journal-title":"Philips Res. Rep."},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1007\/BF03187604"},{"key":"R11","first-page":"40","volume":"232","author":"Frolov K.","year":"1977","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0979-9"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1063\/1.525797"},{"key":"R14","first-page":"3","volume":"14","author":"Kabatjanski G.","year":"1978","journal-title":"Problemy Pereda\u010di Informacii"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1006\/aima.1997.1625"},{"key":"R17","volume-title":"Approximate calculation of integrals","author":"Krylov Vladimir","year":"1962"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1137\/040615572"},{"key":"R20","first-page":"28","volume":"296","author":"Mysovskikh I.","year":"1987","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"R21","volume-title":"Quantum computation and quantum information","author":"Nielsen Michael","year":"2000"},{"key":"R22","first-page":"0","author":"Noskov M.","year":"1985","journal-title":"Metody Vychisl."},{"key":"R23","first-page":"0","author":"Noskov M.","year":"1988","journal-title":"Metody Vychisl."},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(79)90074-8"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018723416627"},{"key":"R27","first-page":"310","volume":"146","author":"Sobolev S.","year":"1962","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511609589"},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1007\/BF02165227"},{"key":"R30","volume-title":"Approximate calculation of multiple integrals","author":"Stroud A.","year":"1971"},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1111\/j.1749-6632.1960.tb42842.x"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1126-6"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(03)90004-6"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4916(89)90322-9"},{"key":"R35","doi-asserted-by":"crossref","first-page":"169","DOI":"10.4310\/MAA.1998.v5.n2.a5","volume":"5","author":"Xu Yuan","year":"1998","journal-title":"Methods Appl. Anal."},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1016\/S0885-064X(03)00007-4"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/040615584","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,22]],"date-time":"2024-02-22T08:29:33Z","timestamp":1708590573000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/040615584"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":32,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1137\/040615584"],"URL":"https:\/\/doi.org\/10.1137\/040615584","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}