Error estimates for a splitting integrator for abstract semilinear boundary coupled systems

P Csomós, B Farkas, B Kovács - IMA Journal of Numerical …, 2023 - academic.oup.com
We derive a numerical method, based on operator splitting, to abstract parabolic semilinear
boundary coupled systems. The method decouples the linear components that describe the …

A quick probability-oriented introduction to operator splitting methods

MB Vovchanskyi - arXiv preprint arXiv:2401.00123, 2023 - arxiv.org
This paper is an extended and reworked version of a short course given by the author
at''Uzbekistan-Ukrainian readings in stochastic processes'', Tashkent-Kyiv, 2022, and was …

Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems

B Farkas, B Jacob, T Reis, M Schmitz - arXiv preprint arXiv:2302.01195, 2023 - arxiv.org
A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is
proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it …

[PDF][PDF] COST Action 18232 Mathematical Models for Interacting Dynamics on Networks WG 5: Numerical Methods and Applications–White Paper–

S Barbeiro, P Csomós, M Ehrhardt, J Giesselmann… - 2024 - mat-dyn-net.eu
Many physical, biological, chemical, financial, and social phenomena can be described by
dynamical systems and frequently the dynamics are coupled in a networked structure. The …

International Online Conference “One-Parameter Semigroups of Operators 2021”

P Csomós - nnov.hse.ru
u (t)= Au (t) for t≥ 0, u (0)= u0∈ E, v (t)= Bv (t) for t≥ 0, v (0)= v0∈ F, Lu (t)= v (t) for t≥ 0,
where E and F are Banach spaces over the complex field C, A and B are (unbounded) linear …