Staff Glenn Byrenheid, M.Sc.

Address:

Institut für Numerische Simulation
Endenicher Allee 62
53115 Bonn

Phone: +49 228 73-62243

Office: Villa Maria 1.004

E-Mail: ed tod nnob-inu tod mch ta diehneryb tod nnelga tod b@foo tod de

Monte-Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness . G. Byrenheid, V. K. Nguyen, and R. J. Kunsch. J. Complexity, to appear. arXiv:1709.03321. BibTeX arXiv
Optimal sampling recovery of mixed order Sobolev embeddings via discrete Littlewood-Paley type characterizations. G. Byrenheid and T. Ullrich. Anal. Math., 43(2):133–191, 2017. BibTeX DOI
Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness. G. Byrenheid, L. Kämmerer, T. Ullrich, and T. Volkmer. Num. Math., 136:993–1034, 2017. BibTeX PDF arXiv
Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in ${H}^{\gamma }$ . G. Byrenheid, D. Dṵng, W. Sickel, and T. Ullrich. J. Approx. Theory, 207:207–231, 2016. BibTeX PDF arXiv
Der Smolyak-Algorithmus in $H^1(\mathbb {T}^2)$ zur Approximation von Funktionen dominierend gemischter Glattheit. G. Byrenheid. Friedrich-Schiller-Universität Jena, 2013. Master's thesis. BibTeX PDF
Die Approximationsräume der Bernstein-Polynome. G. Byrenheid. Friedrich-Schiller-Universität Jena, 2011. Bachelor's thesis. BibTeX