The BCH-Formula and Order Conditions for Splitting Methods

  • Winfried Auzinger
  • Wolfgang HerfortEmail author
  • Othmar Koch
  • Mechthild Thalhammer
Part of the UNIPA Springer Series book series (USS)


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.



Wolfgang Herfort is indebted to UNIPA for generous support in June 2016.

He also would like to thank the Department of Mathematics at the Brigham Young University for the great hospitality during the year 2015. Special thanks to Jim Logan for his excellent support during this time with hard- and software.

Othmar Koch acknowledges the support by the Vienna Science and Technology Fund (WWTF) under the grant MA14-002.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Winfried Auzinger
    • 1
  • Wolfgang Herfort
    • 1
    Email author
  • Othmar Koch
    • 2
  • Mechthild Thalhammer
    • 3
  1. 1.Technische Universität WienViennaAustria
  2. 2.Fakultät für MathematikUniversität WienViennaAustria
  3. 3.Institut für Mathematik, Universität InnsbruckInnsbruckAustria

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