English

The BCH-Formula and Order Conditions for Splitting Methods

Numerical Analysis 2016-04-06 v1

Abstract

As an application of the BCH-formula, order conditions for splitting schemes are derived. The same conditions can be obtained by using non-commutative power series techniques and inspecting the coefficients of Lyndon-Shirshov words.

Cite

@article{arxiv.1604.01190,
  title  = {The BCH-Formula and Order Conditions for Splitting Methods},
  author = {Winfried Auzinger and Wolfgang Herfort and Othmar Koch and Mechthild Thalhammer},
  journal= {arXiv preprint arXiv:1604.01190},
  year   = {2016}
}
R2 v1 2026-06-22T13:25:24.545Z