- Tytuł:
- Local error structures and order conditions in terms of Lie elements for exponential splitting schemes
- Autorzy:
-
Auzinger, W.
Herfort, W. - Powiązania:
- https://bibliotekanauki.pl/articles/255869.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
exponential splitting schemes
local error
defect
order conditions
free Lie algebra - Opis:
- We 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.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 2; 243-256
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł