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

Autor:	Muaz Seydaoğlu
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Error Formula Splitting methods Ordinary Differential Equations Numerical Approximation. Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	An International Journal of Optimization and Control: Theories & Applications, Vol 9, Iss 1 (2019)
Druh dokumentu:	article
ISSN:	2146-0957 2146-5703
DOI:	10.11121/ijocta.01.2019.00625
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e3a02df9735f46aea759166c9e50d648 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF