Title: On cubature formulas of degree 4κ +1 attaining Möller lower bound for integrals with circular symmetry
Authors: Verlinden, Pierre ×
Cools, Ronald #
Issue Date: Apr-1992
Publisher: Springer
Series Title: Numerische Mathematik vol:61 issue:3 pages:395-407
Abstract: The structure of cubature formulae of degree 4k + 1 whose number of nodes is equal to Moller's lower bound is investigated for integrals with circular symmetry. A simple criterion is derived for the existence of such formulae. It shows that for k = 1 Moller's lower bound can always be attained with Radon's formulae. It also allows to prove that for several integrals with circular symmetry and several values of k > 1, Moller's lower bound cannot be attained.
ISSN: 0029-599X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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