From Modeling and Analysis to Approximation and Fast Algorithms


Saturday, September 2

15.00 - 15.10Opening
Chair: Irina Kmit
15.10 - 16.10 Oleh Melnyk
Convergence of iterative methods for phase retrieval and blind ptychography
16.10 - 16.50Coffee break
Chair: Yurii Kolomoitsev
16.50 - 17.20Andrii Shidlich
Direct and inverse approximation theorems in the Besicovitch-Musielak-Orlicz spaces of almost periodic functions
17.20 - 17.50Kateryna Pozharska
Sampling recovery in the uniform norm
17.50 - 18.20Igor 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 - 10.00Nadiia Derevianko
Prony-type methods for recovery and approximation by exponential sums
10.00 - 10.30Vitalii Vasylyk
Exponentially convergent method for a differential equation with fractional derivative and unbounded operator coefficient in Banach space
10.30 - 11.00Coffee break
Chair: Ronny Bergmann
11.00 - 11.30Barbara Zwicknagl
Variational models for pattern formation in helimagnetic compounds
11.30 - 12.00Kateryna 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 - 16.45Coffee break
Chair: Illia Karabash
16.45 - 17.15Volodymyr Dubovoy
Schur functions as characteristic operator functions of unitary colligations (transfer functions of open systems)
17.15 - 17.45Tania Stepaniuk
Upper and lower boundaries for Green, Riesz and logarithmic energies on projective spaces
17.45 - 18.15Evgeniy 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 - 10.30Christian Rieger
RBF for Surface PDEs
10.30 - 11.00Coffee break
Chair: Christian Rieger
11.00 - 11.30Frank Filbir
Marcinkiewicz-Zygmund inequalities for scattered and random data on the $q$-dimensional unit sphere
11.30 - 12.00Frederic 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 - 15.00Mariia Serdiuk
Pseudodifferential equations with regular singularity for radial functions of $p$-adic argument
15.00 - 15.30Irina Kmit
Hyperbolic operators with finite time propagation of singularities
15.30 - 16.00Viktor Tkachenko
Smoothness of global bounded solutions to non-autonomous linear and quasi-linear first order hyperbolic systems
16.00 - 16.45Coffee break
Chair: Oleg Davydov
16.45 - 17.15Olesia Zavarzina
Plasticity problem and related questions
17.15 - 17.45Olexandr 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 - 10.00Oleg Davydov
Meshless finite difference methods and overlap splines
10.00 - 10.30Yurii Kolomoitsev
Spline representation and redundancies of one-dimensional ReLU neural network model
10.30 - 11.00Coffee break
Chair: Andrii Shidlich
11.00 - 11.30Nataliya Vasylyeva
Multi-term fractional equations modeling oxygen delivery through capillaries to tissues
11.30 - 12.00Dmytro Sytnyk
Exponentially convergent numerical method for abstract Cauchy problem with fractional derivative of Caputo type
12.00 - 12.30Hanna Veselovska
Surrogate modelling using sparse random features
12.30 Lunch
Chair: Vitalii Vasylyk
14.30 - 15.00Ivan Kovalyov
Two-dimensional moment problem
15.00 - 15.30Thu Hien Nguyen
The distribution of zeros of polynomials and entire functions
15.30 - 16.00Evgeniya Semenova
On optimal recovering of high order derivatives of bivariate functions with noisy data
16.00 - 16.45Coffee break
Chair: Nadiia Derevianko
16.45 - 17.15Olga Rovenska
Exact constants in estimates of approximation of Lipschitz classes by Cesàro means
17.15 - 17.45Sergii Yanchenko
Kolmogorov widths and entropy numbers of the classes of periodic functions of many variables with dominating mixed smoothness
17.45 - 18.15Serhii Stasyuk
Best $m$-trigonometric approximation, Gelfand numbers and optimal recovery

Wednesday, September 6

Chair: Thu Hien Nguyen
09.00 - 10.00Mariia Savchenko
Harnack's inequality for solutions of elliptic equations with non-standard growth under the non-logarithmic Zhikov's condition
10.00 - 10.30Dirk Langemann
Modeling coexisting populations - the power of illustration
10.30 - 11.00Coffee break
Chair: Dirk Langemann
11.00 - 11.30Katja Tüting
A model of measurement - examples, uncertainty and calibration
11.30 - 12.00Jürgen Prestin
Fractional Fourier series for linear chirps