The BCH-Formula and Order Conditions for Splitting Methods
arXiv:1604.011904 citationsh-index: 26
Originality Synthesis-oriented
AI Analysis
This work offers a theoretical foundation for practitioners designing splitting methods, but it is an incremental contribution to known techniques.
The paper derives order conditions for splitting methods using the BCH-formula and non-commutative power series, providing a unified framework for analyzing such schemes.
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.