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Modified Trapezoidal Product Cubature Rules: Definiteness, Monotonicity, and a Posteriori Error Estimates

open access: yesMathematics
We study two modifications of the trapezoidal product cubature formulae, approximating double integrals over the square domain [a,b]2=[a,b]×[a,b]. Our modified cubature formulae use mixed type data: except evaluations of the integrand on the points ...
Geno Nikolov, Petar Nikolov
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