FB 6 Mathematik/Informatik

Institut für Mathematik


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Publications

Eingereichte Artikel:

  • R.J. Kunsch, E. Novak, D. Rudolf. Solvable integration problems and optimal sample size selection. Submitted.
  • R.J. Kunsch. The difficulty of Monte Carlo approximation of multivariate monotone functions. Unter review.

Artikel in Zeitschriften und Konferenzbänden:

  • R.J. Kunsch. Breaking the curse for uniform approximation in Hilbert spaces via Monte Carlo methods.
    Journal of Complexity 48,15--35, 2018
  • G. Byrenheid, R.J. Kunsch and V.K. Nguyen. Monte Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness. Journal of Complexity 46:90--102, 2018
  • R.J. Kunsch. Bernstein numbers and lower bounds for the Monte Carlo error. Proceedings of the MCQMC 2014,
    471–488, 2016. 

Weitere Arbeiten:

  • R.J. Kunsch. High-Dimensional Function Approximation: Breaking the Curse with Monte Carlo Methods. Dissertation, FSU Jena, 2017, available on arXiv:1704.08213 [math.NA].