Csomós, Petra and Kunszenti-Kovács, Dávid (2022) A second-order Magnus-type integrator for evolution equations with delay. IMA JOURNAL OF NUMERICAL ANALYSIS. pp. 1-33. ISSN 0272-4979
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Abstract
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introduce a Magnus-type integrator for the former. We prove the second-order convergence of the obtained Magnus-type integrator. We also show that if the differential operators involved admit a common invariant set for their generated semigroups, then the Magnus-type integrator will respect this invariant set as well, allowing for much weaker assumptions to obtain the desired convergence. As an illustrative example we consider a space-dependent epidemic model with latent period and diffusion.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 28 Nov 2022 07:56 |
| Last Modified: | 28 Nov 2022 07:56 |
| URI: | http://real.mtak.hu/id/eprint/153994 |
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