688 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Bogolyubov Institute for Theoretical PhysicsUA16 papers
- National Academy of Sciences of UkraineUA14 papers
- Taras Shevchenko National University of KyivUA11 papers
- Institute of MathematicsPL7 papers
- University of NottinghamGB4 papers
- F.D. Ovcharenko Institute of Biocolloidal ChemistryUA3 papers
- Institute for Nuclear ResearchRU3 papers
- Leibniz Institute for Solid State and Materials ResearchDE3 papers
- Leiden UniversityNL3 papers
- University of ConnecticutUS3 papers
- AGH University of KrakowPL2 papers
- Bielefeld UniversityDE2 papers
67 papers
A reaction-diffusion system with nonconstant diffusion coefficients: exact and numerical solutions
Roman Cherniha, Galyna Kriukova
A Lotka-Volterra type system with porous diffusion, which can be used as an alternative model to the classical Lotka-Volterra system, is under study. Multiparameter families of exa…
Nonlinear systems of PDEs admitting infinite-dimensional Lie algebras and their connection with Ricci flows. II: The two-dimensional space case
Roman Cherniha, John R. King
The work is a natural continuation of that published in Stud Appl Math. 2024; 153:e12737. All possible two-components evolutions systems of (1+2)-dimensional second-order PDEs admi…
Activity-Dependent Plasticity in Morphogenetically-Grown Recurrent Networks
Sergii Medvid, Andrii Valenia, Mykola Glybovets
Developmental approaches to neural architecture search grow functional networks from compact genomes through self-organisation, but the resulting networks operate with fixed post-g…
When Robots Say No: The Empathic Ethical Disobedience Benchmark
Dmytro Kuzmenko, Nadiya Shvai
Robots must balance compliance with safety and social expectations as blind obedience can cause harm, while over-refusal erodes trust. Existing safe reinforcement learning (RL) ben…
MorphoNAS: Embryogenic Neural Architecture Search Through Morphogen-Guided Development
Mykola Glybovets, Sergii Medvid
While biological neural networks develop from compact genomes using relatively simple rules, modern artificial neural architecture search methods mostly involve explicit and routin…
MoIRA: Modular Instruction Routing Architecture for Multi-Task Robotics
Dmytro Kuzmenko, Nadiya Shvai
Mixture-of-Experts (MoE) approaches have recently gained traction in robotics applications due to their ability to dynamically allocate computational resources and specialize sub-n…
MathPartner is a breakthrough technology for natural sciences education, scientic and engineering applications
Gennadi Malaschonok, Roman Sakh
The article provides a brief description of the MathPartner service. This freely available cloud-based Mathematics is a universal system for symbolic-numeric calculations. Its Math…
LSU factorization
Gennadi Malaschonok
The matrix LU factorization algorithm is a fundamental algorithm in linear algebra. We propose a generalization of the LU and LEU algorithms to accommodate the case of a commutativ…
Recursive matrix algorithms, distributed dynamic control, scaling, stability
Gennadi Malaschonok
The report is devoted to the concept of creating block-recursive matrix algorithms for computing on a supercomputer with distributed memory and dynamic decentralized control.
License Plate Images Generation with Diffusion Models
Mariia Shpir, Nadiya Shvai, Amir Nakib
Despite the evident practical importance of license plate recognition (LPR), corresponding research is limited by the volume of publicly available datasets due to privacy regulatio…
Symmetries and exact solutions of a reaction-diffusion system arising in population dynamics
Philip Broadbridge, Roman Cherniha, Vasyl' Davydovych +1
A system of two cubic reaction-diffusion equations for two independent gene frequencies arising in population dynamics is studied. Depending on values of coefficients, all possible…
An age-structured diffusive model for epidemic modelling: Lie symmetries and exact solutions
Roman Cherniha, Vasyl' Davydovych
A new age-structured diffusive model for the mathematical modelling of epidemics is suggested. The model can be considered as a generalization of two models suggested earlier for t…
Analysis of a Mathematical Model for Fluid Transport in Poroelastic Materials in 2D Space
Roman Cherniha, Vasyl' Davydovych, Joanna Stachowska-Pietka +1
A mathematical model for the poroelastic materials (PEM) with the variable volume is developed in multidimensional case. Governing equations of the model are constructed using the…
Balancing Performance and Efficiency in Zero-shot Robotic Navigation
Dmytro Kuzmenko, Nadiya Shvai
We present an optimization study of the Vision-Language Frontier Maps (VLFM) applied to the Object Goal Navigation task in robotics. Our work evaluates the efficiency and performan…
Multi-Meta-RAG: Improving RAG for Multi-Hop Queries using Database Filtering with LLM-Extracted Metadata
Mykhailo Poliakov, Nadiya Shvai
The retrieval-augmented generation (RAG) enables retrieval of relevant information from an external knowledge source and allows large language models (LLMs) to answer queries over…
Reality conditions for the KdV equation and exact quasi-periodic solutions in finite phase spaces
Julia Bernatska
In the present paper reality conditions for quasi-periodic solutions of the KdV equation are determined completely. As a result, solutions in the form of non-linear waves can be pl…
Supercomputer Environment for Recursive Matrix Algorithms
Gennadi Malaschonok, Alla Sidko
A new runtime environment for the execution of recursive matrix algorithms on a supercomputer with distributed memory is proposed. It is designed both for dense and sparse matrices…
New features in MathPartner 2021
Gennadi Malaschonok, Alexandr Seliverstov
We introduce new features in the MathPartner service that have recently become available to users. We highlight the functions for calculating both arithmetic-geometric mean and geo…
A note on the triameter of graphs
Artem Hak, Sergiy Kozerenko, Bogdana Oliynyk
In this note, we give answers to three questions from the paper [A. Das, Triameter of graphs, Discuss. Math. Graph Theory, 41 (2021), 601--616]. Namely, we obtain a tight lower bou…
Chemical-Grafting of Graphene Oxide Quantum Dots for Enhanced Electrochemical Analysis of Aromatics
Albina Mikhraliieva, Volodymyr Zaitsev, Oleg Tkachenko +2
Because of high surface area and combination of various functional groups, graphene oxide (GO) is currently one of the most actively studying materials for electroanalytical applic…
The energy spectrum and the electrical conductivity of graphene with substitution impurity
S. P. Repetsky, I. G. Vyshyvana, S. P. Kruchinin +2
The effect of substitution atoms on the energy spectrum and the electrical conductivity of graphene was investigated in a Lifshitz one-electron tight-binding model. It is establish…
Morita equivalent unital locally matrix algebras
Oksana Bezushchak, Bogdana Oliynyk
We describe Morita equivalence of unital locally matrix algebras in terms of their Steinitz parametrization. Two countable dimensional unital locally matrix algebras are Morita equ…
Addition of Divisors on Hyperelliptic Curves via Interpolation Polynomials
Julia Bernatska, Yaacov Kopeliovich
Two problems are addressed: reduction of an arbitrary degree non-special divisor to the equivalent divisor of the degree equal to genus of a curve, and addition of divisors of arbi…
General derivative Thomae formula for singular half-periods
Julia Bernatska
The paper develops the result of second Thomae theorem in hyperelliptic case. The main formula, called general Thomae formula, provides expressions for values at zero of the lowest…