[HTML][HTML] Maximal Lp-regularity and H∞-calculus for block operator matrices and applications
A Agresti, A Hussein - Journal of Functional Analysis, 2023 - Elsevier
Many coupled evolution equations can be described via 2× 2-block operator matrices of the
form A=[ABCD] in a product space X= X 1× X 2 with possibly unbounded entries. Here, the …
form A=[ABCD] in a product space X= X 1× X 2 with possibly unbounded entries. Here, the …
Trotter-type formula for operator semigroups on product spaces
A Stephan - arXiv preprint arXiv:2307.00419, 2023 - arxiv.org
We consider a Trotter-type-product formula for approximating the solution of a linear abstract
Cauchy problem (given by a strongly continuous semigroup), where the underlying Banach …
Cauchy problem (given by a strongly continuous semigroup), where the underlying Banach …
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 …
at''Uzbekistan-Ukrainian readings in stochastic processes'', Tashkent-Kyiv, 2022, and was …
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 …
[引用][C] Operator Splitting and Multirate Schemes
In this research seminar we discuss modern multirate time integration methods for the
solution of systems of ordinary differential equations with significant different time scales in …
solution of systems of ordinary differential equations with significant different time scales in …