An integral formulation for the global error of Lie Trotter splitting scheme

An ordinary differential equation (ODE) can be split into simpler sub equations and each  of the  sub equations is  solved subsequently by a numerical method. Such a procedure  involves splitting error and numerical error caused by the time stepping methods applied to sub equations.  The aim of the...

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Veröffentlicht in:An international journal of optimization and control 2019, Vol.9 (1), p.36-40
1. Verfasser: Seydaoğlu, Muaz
Format: Artikel
Sprache:eng
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Zusammenfassung:An ordinary differential equation (ODE) can be split into simpler sub equations and each  of the  sub equations is  solved subsequently by a numerical method. Such a procedure  involves splitting error and numerical error caused by the time stepping methods applied to sub equations.  The aim of the paper is to present  an integral formula for the global error expansion of a splitting  procedure combined with any  numerical  ODE solver.
ISSN:2146-0957
2146-5703
DOI:10.11121/ijocta.01.2019.00625