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title:
The curse of dimensionality for numerical integration of smooth functions
name:
Novak
first name:
Erich
location/conference:
SPP-JT12
PRESENTATION-link:
http://www.dfg-spp1324.de/nuhagtools/event_NEW/dateien/SPP-JT12/talks/Novak-jt12.pdf
abstract:
We present a recent result of Hinrichs, Novak,
Ullrich and Wozniakowski concerning the curse of
dimensionality for numerical integration of
smooth functions from the class C^k([0,1]^d).

Hence we study the curse for the most classical
function spaces. We prove that the number of function
values must increase exponentially with the dimension
for all reasonable eps>0.