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Showing 2013 · math.NAShow all
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math.NA2013
Strongly elliptic pseudodifferential equations on the sphere with radial basis functions
T. D. Pham, T. Tran
Spherical radial basis functions are used to define approximate solutions to strongly elliptic pseudodifferential equations on the unit sphere. These equations arise from geodesy.…
math.NA2013★ 1 cited
Entropy and sampling numbers of classes of ridge functions
Sebastian Mayer, Tino Ullrich, Jan Vybiral
We study properties of ridge functions in high dimensions from the viewpoint of approximation theory. The considered function classes consist of ridge functi…
math.NA2013
Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square
Dinh Dũng, Tino Ullrich
We prove lower bounds for the error of optimal cubature formulae for -variate functions from Besov spaces of mixed smoothness in the case $0 < p, θ\le…