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Dr. Glenn Byrenheid




 
20191001_150146

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Ernst-Abbe-Platz 2

Raum 3537

(+49) 3641 9 46193

(+49) 3641 9 46102

glenn.byrenheid[a]uni-jena.de

FSU Jena

Institut für Mathematik

07737 Jena





Research activity 

    
 Working group:
 Forschungsgruppe "Funktionenräume"
   Research interests: 

function spaces with mixed smoothness, (high dimensional) approximation theory

 
 Dissertation:

 "Sparse representation of multivariate functions based on discrete point evaluations"
    
(supervised by Prof. Dr. Tino Ullrich at University of Bonn), 2018.
    Publications:  "Monte Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness",
G. Byrenheid, V. K. Nguyen, and R. J. Kunsch. J. Complexity 46, 90-102, 2018.
 

"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.
    "Optimal sampling recovery of mixed order Sobolev embeddings via discrete Littlewood-Paley type characterizations",
G. Byrenheid, T. Ullrich. Anal. Math., 43(2):133-191. 2017.
    "Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in {H}^{\gamma }",
G. Byrenheid, D. Dung, W. Sickel, and T. Ullrich. J. Approx. Theory, 207:207-231, 2016.

Lehre:

VL Gew. Differentialgleichungen
 
 Sommersemester 2020
ÜB Höhere Analysis 2  (Prof. Haroske)
 Wintersemester 2019/2020
SEM Analysis "Fourierreihen"

 Wintersesemster 2019/2020
ÜB Analysis 2
(Prof. Hasler)
Sommersemester 2019
ÜB Analysis 1
(Prof. Hasler)
Wintersemester 2018/2019