Csomós, Petra and Sikolya, Eszter (2021) Numerical analysis view on general Trotter-Kato product formulae. Acta Scientiarum Mathematicarum (Szeged), 87. pp. 307-329.
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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 A-stable, 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 |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| Depositing User: | Dr. Petra Csomós |
| Date Deposited: | 27 Sep 2021 08:32 |
| Last Modified: | 03 Apr 2023 07:23 |
| URI: | http://real.mtak.hu/id/eprint/130641 |
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