Browsing by Subject "local error"
Now showing 1 - 2 of 2
- Results Per Page
- Sort Options
Item type:Thesis, Access status: Restricted , Adaptacyjny dobór punktów siatki przy rozwiązywaniu problemu początkowego dla równań różniczkowych zwyczajnych(Data obrony: 2018-06-14) Wilga, Bartosz
Wydział Matematyki StosowanejItem type:Article, Access status: Open Access , Local error structures and order conditions in terms of Lie elements for exponential splitting schemes(2014) Auzinger, Winfried; Herfort, WolfgangWe discuss the structure of the local error of exponential operator splitting methods. In particular, it is shown that the leading error term is a Lie element, i.e., a linear combination of higher-degree commutators of the given operators. This structural assertion can be used to formulate a simple algorithm for the automatic generation of a minimal set of polynomial equations representing the order conditions, for the general case as well as in symmetric settings.