In: Applied Numerical Mathematics, 2018, vol. 127, p. 110–124
In this paper we consider two sets of points for Quasi-Monte Carlo integration on two- dimensional manifolds. The first is the set of mapped low-discrepancy sequence by a measure preserving map, from a rectangle U⊂R2 to the manifold. The second is the greedy minimal Riesz s-energy points extracted from a suitable discretization of the manifold. Thanks to the Poppy-seed Bagel Theorem we know...
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In: European Heart Journal, 2010, vol. 31, no. 17, p. 2148-2155
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In: European Heart Journal, 2010, vol. 31, no. 10, p. 1197-1204
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In: European Heart Journal, 2005, vol. 26, no. 6, p. 558-566
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In: Dolomites Research Notes on Approximation, 2012, vol. 5, no. 1, p. 1-6
A collection of recent papers reveals that linear barycentric rational interpolation with the weights suggested by Floater and Hormann is a good choice for approximating smooth functions, especially when the interpolation nodes are equidistant. In the latter setting, the Lebesgue constant of this rational interpolation process is known to grow only logarithmically with the number of nodes....
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In: Numerische Mathematik, 2012, vol. 121, p. 461–471
Recent results reveal that the family of barycentric rational interpolants introduced by Floater and Hormann is very well-suited for the approximation of functions as well as their derivatives, integrals and primitives. Especially in the case of equidistant interpolation nodes, these infinitely smooth interpolants offer a much better choice than their polynomial analogue. A natural and important...
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