Numerical analysis view on the general Trotter-Kato product formulae

Csomós Petra and Sikolya Eszter: Numerical analysis view on the general Trotter-Kato product formulae. In: Acta scientiarum mathematicarum, (87) 1-2. pp. 307-329. (2021)

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Abstract

We show that the abstract operator-theoretic (general) Trotter–Kato formulae yield the convergence of numerical methods used for solving differential equations. These methods combine operator splitting procedures with certain time discretisation schemes which should be consistent, strongly Astable, positive rational approximations of the exponential function. We also show that it is possible to apply more numerical steps in one splitting time step and the convergence results remain true.

Item Type:	Article
Heading title:	Analysis
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2021
Volume:	87
Number:	1-2
ISSN:	2064-8316
Page Range:	pp. 307-329
Language:	English
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Related URLs:	http://acta.bibl.u-szeged.hu/73791/
DOI:	10.14232/actasm-020-140-3
Uncontrolled Keywords:	Matematika
Additional Information:	Bibliogr.: p. 327-329. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2021. Nov. 16. 09:45
Last Modified:	2026. Feb. 18. 12:02
URI:	http://acta.bibl.u-szeged.hu/id/eprint/73931

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