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SUMMARY:Multiple Rank-1 Lattices as Sampling Schemes for Approximation - L
 utz Kaemmerer (Technische Universität Chemnitz)
DTSTART:20190220T114000Z
DTEND:20190220T121500Z
UID:TALK120127@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The approximation of functions using sampling values<br>along 
 single rank-1 lattices leads to convergence rates of the approximation<br>
 errors that are far away from optimal ones in spaces of dominating mixed<b
 r>smoothness.<br><br>A recently published idea that uses sampling<br>value
 s along several rank-1 lattices in order to reconstruct multivariate<br>tr
 igonometric polynomials accompanied by fast methods for the construction o
 f<br>these sampling schemes as well as available fast Fourier transform al
 gorithms<br>motivates investigations on the approximation properties of th
 e arising<br>sampling operators applied on functions of specific smoothnes
 s\, in particular<br>functions of dominating mixed smoothness which natura
 lly leads to hyperbolic<br>cross approximations.
LOCATION:Seminar Room 1\, Newton Institute
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