REAL

Operator splitting for dissipative delay equations

Bátkai, András and Csomós, Petra and Farkas, Bálint (2016) Operator splitting for dissipative delay equations. SEMIGROUP FORUM. pp. 1-21. ISSN 0037-1912

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Abstract

We investigate Lie–Trotter product formulae for abstract nonlinear evolution equations with delay. Using results from the theory of nonlinear contraction semigroups in Hilbert spaces, we explain the convergence of the splitting procedure. The order of convergence is also investigated in detail, and some numerical illustrations are presented. © 2016 Springer Science+Business Media New York

Item Type: Article
Uncontrolled Keywords: Order of convergence; Operator splitting; Lie–Trotter product formula; Delay equation; $$C_0$$C0-semigroups
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 26 Jan 2017 09:06
Last Modified: 26 Jan 2017 09:06
URI: http://real.mtak.hu/id/eprint/46433

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