Publications

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A. Hinrichs, D. Krieg, R.J. Kunsch, D. Rudolf

Expected dispersion of uniformly distributed points

Journal of Complexity 61:101483, 2020

doi:10.1016/j.jco.2020.101483, arXiv:1911.12074 [math.PR] PDF

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R.J. Kunsch, D. Rudolf

Optimal confidence for Monte Carlo integration of smooth functions

Advances in Computational Mathematics 45:3095–3122, 2019.

doi:10.1007/s10444-019-09728-3 PDF

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R.J. Kunsch, E. Novak, D. Rudolf

Solvable integration problems and optimal sample size selection

Journal of Complexity 53:40–67, 2019.

doi:10.1016/j.jco.2018.10.007

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R.J. Kunsch

The difficulty of Monte Carlo approximation of multivariate monotone functions

Journal of Approximation Theory 241:33–56, 2019.

doi:10.1016/j.jat.2019.01.003

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R.J. Kunsch

Breaking the curse for uniform approximation in Hilbert spaces via Monte Carlo methods

Journal of Complexity 48:15–35, 2018.

doi:10.1016/j.jco.2018.04.002

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G. Byrenheid, R.J. Kunsch, V.K. Nguyen

Monte Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness

Journal of Complexity 46:90–102, 2018.

doi:10.1016/j.jco.2017.12.002

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R.J. Kunsch

Bernstein numbers and lower bounds for the Monte Carlo error

Proceedings of the MCQMC 2014 471–488, 2016.

doi:10.1007/978-3-319-33507-0_24