Publications

International journals

Gerlind Plonka, Yannick Riebe, and Yurii Kolomoitsev. Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models. Analysis and Applications, Online Ready, 1-37, 2022 (doi).

Nadiia Derevianko, Gerlind Plonka, and Markus Petz. From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation. IMA Journal of Numerical Analysis, accepted for publication, 2022.

Nadiia Derevianko, Gerlind Plonka, and Raha Razavi. ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. Numerical Algorithms, accepted for publication, 2022.

Bernhard Beckermann, Joanna Bisch, and Robert Luce. On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices. Numerical Algorithms, 91, 109-144, 2022.

Nadiia Derevianko and Gerlind Plonka. Exact Reconstruction of Extended Exponential Sums Using Rational Approximation of their Fourier Coefficients. Analysis and Applications, 20(3), 543-577, 2022 (open access).

Peijian Shi, Johan Gielis, and Karl J. Niklas. Comparison of a universal (but complex) model for avian egg shape with a simpler model. Annals of the New York Academy of Sciences, 1514(1), 34-42, 2022.

Peijian Shi, Johan Gielis, et al. 'biogeom': An R package for simulating and fitting natural shapes. Annals of the New York Academy of Sciences, 1516(1), 123-134, 2022.

Kansheng Yang, Zhe Song, Johan Gielis, and Diego Caratelli. A Super-Formula-Based Compact Ultra-Wide-Band antenna and its applications to indoor real-time positioning systems. Microwave and Optical Technology Letters, 64(11), 2103-2109, 2022.

Chuan Bi, Miao-Jung Yvonne Ou, Mustapha Bouhrara, and Richard G. Spencer. Span of regularization for solution of inverse problems with application to magnetic resonance relaxometry of the brain. Scientific Reports, 12(1), 20194, 2022.

Annie Cuyt, Yuan Hou, and Wen-shin Lee. Validated analysis of modulated signals: from de Prony to Padé and beyond. J. Comp. Appl. Math., 413: Article 114346, 2022.

Johan Gielis, Paolo Emilio Ricci, and Ilia Tavkhelidze. The Möbius phenomenon in Generalized Möbius-Listing surfaces and bodies, and Arnold’s Cat phenomenon. Advanced Studies: Euro-Tbilisi Mathematical Journal, 14(4), 17-35, 2021.

Johan Gielis. Phibonacci in Ancient Greece. Symmetry, Culture and Science, 32(1), 25-40, 2021.

Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, and Marcel Schweitzer. Low-rank updates of matrix functions II: Rational Krylov methods. SIAM Journal on Numerical Analysis, 59, 1325-1347, 2021.

Bernhard Beckermann, Mihai Putinar, Edward B. Saff, and Nikos Stylianopoulos. Perturbations of Christoffel-Darboux kernels: detection of outliers. Foundations of Computational Mathematics, 21, 71-124, 2021.

Hanna Knirsch, Markus Petz, and Gerlind Plonka. Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm and Spectral Norm and Cadzow's Algorithm. Linear Algebra and its Applications, 629, 1-39. 2021.

Markus Petz, Gerlind Plonka, and Nadiia Derevianko. Exact Reconstruction of Sparse Non-Harmonic Signals from their Fourier Coefficients. Sampling Theory, Signal Processing, and Data Analysis, 19, 7, 2021 (open access).

Ridalise Louw, Ferre Knaepkens, Annie Cuyt, Wen-shin Lee, Stefan J. Wijnholds, Dirk I. L. de Villiers, and Rina-Mari Weideman. Antenna position estimation through sub-sampled exponential analysis of signals in the near-field. Radio Science Letters, 3, 2021.

Refereed proceedings

Rina-Mari Weideman, Ridalise Louw, Ferre Knaepkens, Dirk I. L. de Villiers, Annie Cuyt, and Wen-shin Lee. Simulated performance of antenna position estimation through sub-sampled exponential analysis. International Conference on Electromagnetics in Advanced Applications (ICEAA), Cape Town, South Africa, September 2022, in press.

Yuan Hou, Annie Cuyt, Wen-shin Lee, and Deepayan Bhowmik. Decomposing textures using exponential analysis. In IEEE ICASSP 2021 Proceedings, pages 1920–1924, 2021.

Ridalise Louw, Ferre Knaepkens, Annie Cuyt, Wen-shin Lee, Stefan J. Wijnholds, Dirk I. L. de Villiers, and Rina-Mari Weideman. Antenna position estimation through sub-sampled exponential analysis of harmonically related input signals. In URSI–GASS 2021 Proceedings, pages 1–5. IEEE, 2021.

(Social) media

LMS Women in Mathematics Day. University of Stirling Faculty of Natural Sciences Newsletter, October 28, 2022.

LMS Women in Mathematics Day. LMS Newsletter, Issue 502, September 2022.

LMS Women in Mathematics Day. University of Stirling Faculty of Natural Sciences Newsletter, August 26, 2022.

EXPOWER’s Ice Breaker: 'Unleashing the power of exponential functions'. ASTRON Daily Image, May 20, 2022.

ASTRON hosted the first consortium-wide Ice-Breaker event for the EXPOWER project. May 20, 2022.

The power of exponents: UD's Ou part of international research team awarded European Union grant. UDaily: University-wide newsletter of the University of Delaware, February 10, 2022.

EU grant success: "EXPOWER". University of Stirling Faculty of Natural Sciences Newsletter, December 11, 2020.