A second order operator splitting numerical scheme for the “good” Boussinesq equation

C Zhang, H Wang, J Huang, C Wang, X Yue - Applied Numerical …, 2017 - Elsevier
The nonlinear stability and convergence analyses are presented for a second order operator
splitting scheme applied to the “good” Boussinesq equation, coupled with the Fourier …

Operator splitting for abstract cauchy problems with dynamical boundary condition

P Csomós, M Ehrhardt, B Farkas - arxiv preprint arxiv:2004.13503, 2020 - arxiv.org
In this work we study operator splitting methods for a certain class of coupled abstract
Cauchy problems, where the coupling is such that one of the problems prescribes a" …

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 …

On exponential splitting methods for semilinear abstract Cauchy problems

B Farkas, B Jacob, M Schmitz - Integral Equations and Operator Theory, 2023 - Springer
Due to the seminal works of Hochbruck and Ostermann (Appl Numer Math 53 (2–4): 323–
339, 2005, Acta Numer 19: 209–286, 2010) exponential splittings are well established …

[PDF][PDF] Approach to Markov Operators on spaces of measures by means of equicontinuity

MA Ziemlańska - Journal of Mathematical …, 2013 - scholarlypublications …
The mathematical study of dynamical systems in discrete or continuous time on spaces of
probability measures has a long-lasting history in probability theory (as Markov operators …

Stability for Lie–Trotter products for some operator matrix semigroups

A Bátkai, P Csomós, KJ Engel, B Farkas - PAMM, 2014 - Wiley Online Library
Coupled systems of linear differential equations in Banach spaces can be often handled by
the theory of C0‐semigroups of operator matrices. We study the stability of Lie–Trotter …

Lie-Trotter product formula for locally equicontinuous and tight Markov semigroup

SC Hille, MA Ziemlanska - arxiv preprint arxiv:1807.07728, 2018 - arxiv.org
In this paper we prove a Lie-Trotter product formula for Markov semigroups in spaces of
measures. We relate our results to" classical" results for strongly continuous linear …

[PDF][PDF] Operator splitting for delay equations

B Farkas, A Bátkai, P Csomós - 2012 - uibk.ac.at
Untitled Page 1 Page 2 Operator splitting for delay equations Bálint Farkas joint with András
Bátkai, Petra Csomós Workshop on Innovative Time Integration, Innsbruck 15 May, 2012 Page …