G. Plonka-Hoch

activity

20242026

collaborators

3 papers

math.NA2026

Approximation by short exponential sums with geometric error decay based on Gauss quadrature

Gerlind Plonka, Yannick Riebe, Annie Cuyt

We present new short exponential sum approximations of length $N$ for $f_{1} (x) = \frac{1}{a + x}$ with $a > 0$ on $[0, \infty)$ and for $f_{2} (x) = e^{- x^{2} /2 I ¨ }$ with $I ¨ > 0$ on ${\…

math.NA2025

Differential approximation of the Gaussian by short cosine sums with exponential error decay

Nadiia Derevianko, Gerlind Plonka

In this paper, we propose a method to approximate the Gaussian function on $R$ by a short cosine sum. We generalise and extend the differential approximation method propo…

math.NA2024

MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration

Gerlind Plonka, Yannick Riebe

We propose a new fast algorithm for simultaneous recovery of the coil sensitivities and of the magnetization image from incomplete Fourier measurements in parallel MRI. Our approac…