Projects
- Discovering structure in complex data: Statistics meets Optimization and Inverse Problems (2015-2024)
DFG Research Training Group 2088 (RTG 2088)
Teaching
- Lecture: Aspects of Numerical Linear Algebra (English) (SS 2024)
Monday and Thursday 8.15 - 9.55 (Lecture 4 SWS / 6 ECTS) - Research seminar: Numerical Analysis (English) (SS 2024)
Tuesday 12.30 - 14.00 (2 SWS) - Research seminar: Numerical Analysis (English) (WS 2023/2024)
Tuesday 12.30 - 14.00 (2 SWS) - Bachelor/Master seminar: Seminar on image and geometry processing (English) (WS 2023/2024)
Wednesday 12.30 - 14.00 (2 SWS) - Research seminar: Numerical Analysis (English) (SS 2023)
Tuesday 12.30 - 14.00 (2 SWS) - Research seminar: Numerical Analysis (English) (WS 2022/2023)
Thursday 12.30 - 14.00 (2 SWS) - Research seminar: Numerical Analysis (English) (SS 2022)
Thursday 12.30 - 14.00 (2 SWS) - Research seminar: Numerical Analysis (English) (WS 2021/2022)
Thursday 12.30 - 14.00, online (2 SWS) - Lecture: Lectures on Approximation Theory (English) (WS 2021/2022)
Tuesday and Friday 8.15 - 09.55, online (Lecture+ Exercises: 4 SWS / 6 ECTS) - Research seminar: Numerical Analysis (English) (SS 2021)
Thursday 12.30 - 14.00, online (2 SWS) - Research seminar: Numerical Analysis (English) (WS 2020/2021)
Thursday 12.30 - 14.00, online (2 SWS)
Workshops
- SIAM Conference on Applied Linear Algebra (Invited Talk)
May 13 - May 17, 2024 in Paris (France) - GAMM 94th Annual Conference (Talk)
March 18 - March 22, 2024 in Magdeburg - 8th RTG Workshop 2023
October 4-6, 2023 in Mariaspring, Germany - DMV Tagung 2023 (Invited Talk)
September 25 - 28, 2023 in Ilmenau - From Modeling and Analysis to Approximation and Fast Algorithms (Plenary Talk)
September 02-06 2023 in Hasenwinkel - Numerical Analysis in the 21st Century (Talk)
August 15-17 2023 in Oxford - Second International Conference on Mathematical And Computational Modelling, Approximation and Simulation (MACMAS 2023) (Talk)
May 29 - June 1, 2023 in Torino - SIAM Conference on Computational Science and Engineering (Invited Talk)
February 26 - March 3, 2023 in Amsterdam - Multivariate Approximation and Interpolation with Applications (MAIA) (Invited Talk)
September 26-30, 2022 in Fuldatal, Germany - 7th RTG Workshop 2022 (Talk)
August 29-31, 2022 in Goslar, Germany - SIAM Conference on Imaging Science (Invited Talk)
March 21 - 25, 2022 in Berlin - 6th RTG Workshop 2021
September 6-8, 2021 in Mariaspring, Germany - GAMM 91th Annual Scientific Conference (Talk)
March 16 - 19, 2021 in Kassel (online) - 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
- Differential approximation of the Gaussian by short cosine sums with exponential error decay.
Nadiia Derevianko, Gerlind Plonka
University of Göttingen, Institute for Numerical and Applied Mathematics, 2023 (preprint available at arXiv) - 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) - From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation
Nadiia Derevianko, Gerlind Plonka, Markus Petz
IMA Journal of Numerical Analysis, 43(2), 789–827, 2023 (preprint available at arXiv) - ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application.
Nadiia Derevianko, Gerlind Plonka, Raha Razavi
Numerical Algorithms 92, 437-470, 2023 (preprint available at arXiv) - Exact Reconstruction of Extended Exponential Sums Using Rational Approximation of their Fourier Coefficients
Nadiia Derevianko, Gerlind Plonka
Analysis and Applications 20(3), 543-577, 2022 (preprint available at arXiv) - Rational Functions for the Reconstruction of Exponential Sums from their Fourier Coefficients
Markus Petz, Gerlind Plonka, Nadiia Derevianko
PAMM · Proc. Appl. Math. Mech. 21:1 e202100078, 2021 (DOI: 10.1002/pamm.202100078) - Exact Reconstruction of Sparse Non-Harmonic Signals from their Fourier Coefficients
Markus Petz, Gerlind Plonka, Nadiia Derevianko
Sampling Theory, Signal Processing, and Data Analysis 19, 7 (open access), 2021 (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 - Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients
Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients, implemented in MATLAB.
Nadiia Derevianko, Gerlind Plonka - From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation, implemented in MATLAB.
Nadiia Derevianko, Gerlind Plonka, Markus Petz