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ICIC
2007
Springer
14 years 5 months ago
Quantum Integration Error on Some Classes of Multivariate Functions
Abstract. We study the approximation of the integration of multivariate functions classes in the quantum model of computation. We first obtain a lower bound of the n-th minimal qu...
Peixin Ye, Qing He
MOC
2010
13 years 5 months ago
Analysis of spectral approximations using prolate spheroidal wave functions
Abstract. In this paper, the approximation properties of the prolate spheroidal wave functions of order zero (PSWFs) are studied, and a set of optimal error estimates are derived f...
Li-lian Wang
NA
2007
100views more  NA 2007»
13 years 10 months ago
Periodization strategy may fail in high dimensions
Abstract. We discuss periodization of smooth functions f of d variables for approximation of multivariate integrals. The benefit of periodization is that we may use lattice rules,...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
JAT
2010
120views more  JAT 2010»
13 years 9 months ago
Error bounds for anisotropic RBF interpolation
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth fu...
Richard K. Beatson, Oleg Davydov, Jeremy Levesley
JAT
2007
100views more  JAT 2007»
13 years 10 months ago
A Sobolev-type upper bound for rates of approximation by linear combinations of Heaviside plane waves
Quantitative bounds on rates of approximation by linear combinations of Heaviside plane waves are obtained for sufficiently differentiable functions f which vanish rapidly enough...
Paul C. Kainen, Vera Kurková, Andrew Vogt