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Publications in Scientific Journals:

W. Auzinger, W. Herfort:
"Local error structures and order conditions in terms of Lie elements for exponential splitting schemes";
Opuscula Mathematica, 34 (2014), 2; 243 - 255.



English abstract:
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.

Keywords:
Exponential splitting schemes, local error, defect, order conditions, free Lie algebra


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.7494/OpMath.2014.34.2.243

Electronic version of the publication:
http://publik.tuwien.ac.at/files/PubDat_227555.pdf


Created from the Publication Database of the Vienna University of Technology.