University of Göttingen - Institute for Numerical and Applied Mathematics
Nadiia Derevianko

Own homepage

Current projects
RTG 2088: Discovering structure in complex data: Statistics meets Optimization and Inverse Problems (2015-2024)
DFG Research Training Group
Teaching
Research seminar: Numerical Analysis (English) (WS 2020/2021)
Thursday 12.30 - 14.00, online (2 SWS)
Workshops
5th RTG Workshop 2020 (Talk)
October 5-6, 2020 in Goettingen, Germany
Analytical Modeling and Approximation Methods (Talk)
March 4 - March 8, 2020 in Berlin, Germany
International Conference on Function Spaces and Geometric Analysis and their Applications (Talk)
September 30 - October 4, 2019 in Nankai University, Tianjin, China
Sommerschule Analysis und Theoretische Numerik (Talk)
August 26-28, 2019 in Siegmundsburg, Germany
Workshop on Mathematical Signal and Image Analysis (Talk)
April 1-3, 2019 in Raitenhaslach, Germany
Final AMMODIT Conference Mathematics for Life Sciences (Talk)
March 18-22, 2019 in Kyiv, Ukraine
4th AMMODIT Conference (Talk)
March 19-23, 2018 in Malekhiv, Lviv region, Ukraine
THE CONFERENCE OF YOUNG SCIENTISTS «PIDSTRYHACH READINGS – 2017» (Talk)
May 23-25, 2017 in Lviv, Ukraine
3rd Conference “Approximation Methods for Molecular Modelling and Diagnosis Tools” (Talk)
January 26-30, 2017 in Kyiv, Ukraine
Approximation Methods and Data Analysis (Talk)
September 5 - 9, 2016 in Hasenwinkel
AMMODIT and final EUMLS Workshop (Talk)
March 07-11, 2016 in Hasenwinkel, Germany
3rd Conference “Mathematics for Life Sciences” (Talk)
September 15-19, 2015 in Rivne, Ukraine
Publications
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients
Markus Petz, Gerlind Plonka, Nadiia Derevianko
University of Göttingen, Institute for Numerical and Applied Mathematics, 2020 (preprint as download)
Adaptive sampling recovery of functions with higher mixed regularity
Nadiia Derevianko, Tino Ullrich
University of Göttingen, Institute for Numerical and Applied Mathematics, 2020 (preprint available at arXiv)
Approximation of Gaussians by spherical Gauss-Laguerre basis in the weighted Hilbert space
Nadiia Derevianko, Jürgen Prestin
Electron. Trans. Numer. Anal. 52, 249-269, 2020 (preprint available as pdf)
On higher order Faber spline basis for sampling discretization of functions
Nadiia Derevianko, Tino Ullrich
J. Approx. Theory, 257, 105449, 2020 (preprint available at arXiv)
On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions
Nadiia Derevianko, Vitalii Myroniuk, Jürgen Prestin
J. Approx. Theory, V. 238, pp. 67-84, 2019 (preprint as download)
Characterization of local Besov spaces via wavelet basis expansions
Nadiia Derevianko, Vitalii Myroniuk, Jürgen Prestin
Front. Appl. Math. Stat. 3:4. doi: 10.3389/fams.2017.00004, 2017 (preprint available as pdf)
Linear Widths of the Classes S^Ω_{p,θ}B of Periodic Functions of Many Variables
Nadiia Derevianko, O.I. Cheremshyns’ka
Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 4, 165-185 (in Ukrainian), 2015 (preprint as download)
Estimations of Linear Widths of the Classes B^Ω_{p,θ} of Periodic Functions of Many Variables in the Space L_q
Nadiia Derevianko
Ukr. Math. J. 66, No. 7, 1013-1027, 2014 (preprint as download)
Approximation of the Classes H^Ω_p of Periodic Functions of Many Variables in the Space L_p
Nadiia Derevianko
Ukr. Math. J. 66, No. 5, 707-718, 2014 (preprint as download)
Estimates of Linear Widths of the Classes H^Ω_p of Periodic Functions of Many Variables in the Space L_q
Nadiia Derevianko
Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 3, 128 - 145 (in Ukrainian), 2014 (preprint as download)
Estimates of the Ortho-projective Widths of Classes B^Ω_{p,θ} of Periodic Functions of Many Variables in the Space L_q
Nadiia Derevianko
Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 1, 95-109 (in Ukrainian), 2013 (preprint as download)
Trigonometric Widths of Classes of Periodic Functions of Many Variables
Nadiia Derevianko
Ukr. Math. J. 64, No. 8, 1185-1198, 2013 (preprint as download)
Ortho-projective Widths of Classes of Periodic Functions of Many Variables
Nadiia Derevianko
Zb. Pr. Inst. Mat. NAN Ukr. 9, No. 2, 146-156 (in Ukranian), 2012 (preprint as download)
Software
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients, implemented in MATLAB.
Markus Petz, Gerlind Plonka, Nadiia Derevianko
Dr. Nadiia Derevianko

University of Göttingen
Institute for Numerical and Applied Mathematics
Lotzestr. 16-18
37083 Göttingen
Raum 308

Tel.: 0551-39-24515
n.derevianko AT math.uni-goettingen.de