Workshop From Modeling and Analysis to Approximation and Fast Algorithms
Program
Saturday, September 2 | ||
|---|---|---|
| 15.00 - 15.10 | Opening | |
| Chair: Irina Kmit | ||
| 15.10 - 16.10 | Oleh Melnyk Convergence of iterative methods for phase retrieval and blind ptychography | |
| 16.10 - 16.50 | Coffee break | |
| Chair: Yurii Kolomoitsev | ||
| 16.50 - 17.20 | Andrii Shidlich Direct and inverse approximation theorems in the Besicovitch-Musielak-Orlicz spaces of almost periodic functions | |
| 17.20 - 17.50 | Kateryna Pozharska Sampling recovery in the uniform norm | |
| 17.50 - 18.20 | Igor Sokolenko Approximation by Fourier sums and interpolation trigonometric polynomials in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness | |
Sunday, September 3 | ||
| Chair: Oleh Melnyk | ||
| 09.00 - 10.00 | Nadiia Derevianko Prony-type methods for recovery and approximation by exponential sums | |
| 10.00 - 10.30 | Vitalii Vasylyk Exponentially convergent method for a differential equation with fractional derivative and unbounded operator coefficient in Banach space | |
| 10.30 - 11.00 | Coffee break | |
| Chair: Ronny Bergmann | ||
| 11.00 - 11.30 | Barbara Zwicknagl Variational models for pattern formation in helimagnetic compounds | |
| 11.30 - 12.00 | Kateryna Buryachenko Regularity problems for anisotropic porous media equations | |
| 12.00 - 12.30 | Illia Karabash Calkin reduction operators in boundary conditions for open optical cavities | |
| 12.30 | Lunch | |
| 14.30 | Walking-tour | |
| 16.00 - 16.45 | Coffee break | |
| Chair: Illia Karabash | ||
| 16.45 - 17.15 | Volodymyr Dubovoy Schur functions as characteristic operator functions of unitary colligations (transfer functions of open systems) | |
| 17.15 - 17.45 | Tania Stepaniuk Upper and lower boundaries for Green, Riesz and logarithmic energies on projective spaces | |
| 17.45 - 18.15 | Evgeniy Petrov Fixed point theorems for mappings contracting perimeters of triangles and generalized Kannan type mappings | |
| 18.15 - 19.00 | Group leader meeting | |
Monday, September 4 | ||
| Chair: Mariia Savchenko | ||
| 09.00 - 10.00 | Ronny Bergman Nonsmooth, nonconvex optimization on Riemannian manifolds | |
| 10.00 - 10.30 | Christian Rieger RBF for Surface PDEs | |
| 10.30 - 11.00 | Coffee break | |
| Chair: Christian Rieger | ||
| 11.00 - 11.30 | Frank Filbir Marcinkiewicz-Zygmund inequalities for scattered and random data on the $q$-dimensional unit sphere | |
| 11.30 - 12.00 | Frederic Schoppert Edge detection with polynomial frames on the sphere | |
| 12.00 - 12.30 | Aleksandr Kholkin Interplay between spectral and oscillatory properties of differential-operator equations of arbitrary even order | |
| 12.30 | Lunch | |
| Chair: Barbara Zwicknagl | ||
| 14.30 - 15.00 | Mariia Serdiuk Pseudodifferential equations with regular singularity for radial functions of $p$-adic argument | |
| 15.00 - 15.30 | Irina Kmit Hyperbolic operators with finite time propagation of singularities | |
| 15.30 - 16.00 | Viktor Tkachenko Smoothness of global bounded solutions to non-autonomous linear and quasi-linear first order hyperbolic systems | |
| 16.00 - 16.45 | Coffee break | |
| Chair: Oleg Davydov | ||
| 16.45 - 17.15 | Olesia Zavarzina Plasticity problem and related questions | |
| 17.15 - 17.45 | Olexandr Burylko Time-reversible dynamics in a system of two coupled active rotators | |
| 17.45 - 18.15 | Discussion of future cooperation | |
Tuesday, September 5 | ||
| Chair: Frank Filbir | ||
| 09.00 - 10.00 | Oleg Davydov Meshless finite difference methods and overlap splines | |
| 10.00 - 10.30 | Yurii Kolomoitsev Spline representation and redundancies of one-dimensional ReLU neural network model | |
| 10.30 - 11.00 | Coffee break | |
| Chair: Andrii Shidlich | ||
| 11.00 - 11.30 | Nataliya Vasylyeva Multi-term fractional equations modeling oxygen delivery through capillaries to tissues | |
| 11.30 - 12.00 | Dmytro Sytnyk Exponentially convergent numerical method for abstract Cauchy problem with fractional derivative of Caputo type | |
| 12.00 - 12.30 | Hanna Veselovska Surrogate modelling using sparse random features | |
| 12.30 | Lunch | |
| Chair: Vitalii Vasylyk | ||
| 14.30 - 15.00 | Ivan Kovalyov Two-dimensional moment problem | |
| 15.00 - 15.30 | Thu Hien Nguyen The distribution of zeros of polynomials and entire functions | |
| 15.30 - 16.00 | Evgeniya Semenova On optimal recovering of high order derivatives of bivariate functions with noisy data | |
| 16.00 - 16.45 | Coffee break | |
| Chair: Nadiia Derevianko | ||
| 16.45 - 17.15 | Olga Rovenska Exact constants in estimates of approximation of Lipschitz classes by Cesàro means | |
| 17.15 - 17.45 | Sergii Yanchenko Kolmogorov widths and entropy numbers of the classes of periodic functions of many variables with dominating mixed smoothness | |
| 17.45 - 18.15 | Serhii Stasyuk Best $m$-trigonometric approximation, Gelfand numbers and optimal recovery | |
Wednesday, September 6 | ||
| Chair: Thu Hien Nguyen | ||
| 09.00 - 10.00 | Mariia Savchenko Harnack's inequality for solutions of elliptic equations with non-standard growth under the non-logarithmic Zhikov's condition | |
| 10.00 - 10.30 | Dirk Langemann Modeling coexisting populations - the power of illustration | |
| 10.30 - 11.00 | Coffee break | |
| Chair: Dirk Langemann | ||
| 11.00 - 11.30 | Katja Tüting A model of measurement - examples, uncertainty and calibration | |
| 11.30 - 12.00 | Jürgen Prestin Fractional Fourier series for linear chirps | |
