FB 6 Mathematik/Informatik

Institut für Mathematik


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Publications

Eingereichte Artikel:

  • R.J. Kunsch, D. Rudolf. Optimal confidence for Monte Carlo integration of smooth functions. Submitted, available on arXiv:1809.09890 [math.NA]

Artikel in Zeitschriften und Konferenzbänden

  • R.J. Kunsch, E. Novak, D. Rudolf. Solvable integration problems and optimal sample size selection. To appear in Journal of Complexity

  • R.J. Kunsch. The difficulty of Monte Carlo approximation of multivariate monotone functions. Journal of Approximation Theory 241:33–56, 2019
  • 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]