A second order operator splitting numerical scheme for the “good” Boussinesq equation
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 …
splitting scheme applied to the “good” Boussinesq equation, coupled with the Fourier …
Operator splitting for abstract cauchy problems with dynamical boundary condition
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" …
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
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 …
proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it …
On exponential splitting methods for semilinear abstract Cauchy problems
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 …
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 …
probability measures has a long-lasting history in probability theory (as Markov operators …
Stability for Lie–Trotter products for some operator matrix semigroups
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 …
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 …
measures. We relate our results to" classical" results for strongly continuous linear …
[PDF][PDF] Operator splitting for delay equations
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 …
Bátkai, Petra Csomós Workshop on Innovative Time Integration, Innsbruck 15 May, 2012 Page …