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Construction of fully symmetric numerical integration formulas of fully symmetric numerical integration formulas

dc.contributor.authorStenger, Franken_US
dc.contributor.authorMcNamee, J.en_US
dc.date.accessioned2006-09-11T17:37:49Z
dc.date.available2006-09-11T17:37:49Z
dc.date.issued1967-11en_US
dc.identifier.citationMcNamee, J.; Stenger, F.; (1967). "Construction of fully symmetric numerical integration formulas of fully symmetric numerical integration formulas." Numerische Mathematik 10(4): 327-344. <http://hdl.handle.net/2027.42/46315>en_US
dc.identifier.issn0945-3245en_US
dc.identifier.issn0029-599Xen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46315
dc.description.abstractThe paper develops a construction for finding fully symmetric integration formulas of arbitrary degree 2 k + 1 in n -space such that the number of evaluation points is O ((2 n ) k )/ k !), n → ∞. Formulas of degrees 3, 5, 7, 9, are relatively simple and are presented in detail. The method has been tested by obtaining some special formulas of degrees 7, 9 and 11 but these are not presented here.en_US
dc.format.extent1125032 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherNumerical and Computational Methodsen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherNumerical Analysisen_US
dc.subject.otherMathematics, Generalen_US
dc.subject.otherMathematicsen_US
dc.subject.otherMathematical Methods in Physicsen_US
dc.subject.otherAppl.Mathematics/Computational Methods of Engineeringen_US
dc.titleConstruction of fully symmetric numerical integration formulas of fully symmetric numerical integration formulasen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDept. of Mathematics, University of Michigan, 48104, Michigan, Ann Arbor, USAen_US
dc.contributor.affiliationotherCanadian Mathematical Congress, 985 Sherbrooke St., West Montreal, Canadaen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46315/1/211_2005_Article_BF02162032.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF02162032en_US
dc.identifier.sourceNumerische Mathematiken_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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