Abstract
The paper develops a construction for finding fully symmetric integration formulas of arbitrary degree 2k+1 inn-space such that the number of evaluation points isO((2n)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.
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McNamee, J., Stenger, F. Construction of fully symmetric numerical integration formulas of fully symmetric numerical integration formulas. Numer. Math. 10, 327–344 (1967). https://doi.org/10.1007/BF02162032
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DOI: https://doi.org/10.1007/BF02162032