47 citations · 245 across the 29 of their papers we have counts for
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math.NA2016★ 17 cited
Optimal Quadrature Formulas for the Sobolev Space
Erich Novak, Shun Zhang
We study optimal quadrature formulas for arbitrary weighted integrals and integrands from the Sobolev space . We obtain general formulas for the worst case error depend…
math.NA2016★ 11 cited
Product rules are optimal for numerical integration in classical smoothness spaces
Aicke Hinrichs, Erich Novak, Mario Ullrich +1
We mainly study numerical integration of real valued functions defined on the -dimensional unit cube with all partial derivatives up to some finite order bounded by one.…