Construction of fully symmetric numerical integration formulas of fully symmetric numerical integration formulas |
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| Authors: | J. McNamee F. Stenger |
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| Affiliation: | (1) Canadian Mathematical Congress, 985 Sherbrooke St., West Montreal, Canada;(2) Dept. of Mathematics, University of Michigan, 48104 Michigan, Ann Arbor, USA |
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| 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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