@inproceedings{c39c096ffa3e4eaa94c3f4e222e229d2,

title = "Setup of Order Conditions for Splitting Methods",

abstract = "For operator splitting methods, an approach based on Taylor expansion and the particular structure of its leading term as an element of a free Lie algebra is used for the setup of a system of order conditions. Along with a brief review of the underlying theoretical background, we discuss the implementation of the resulting algorithm in computer algebra, in particular using Maple 18 (Maple is a trademark of MapleSoftTM.). A parallel version of such a code is described, and its performance on a computational node with 16 threads is documented.",

keywords = "Evolution equations, Local error, Order conditions, Parallel processing, Splitting methods, Taylor expansion",

author = "Winfried Auzinger and Wolfgang Herfort and Harald Hofst{\"a}tter and Othmar Koch",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2016.",

year = "2016",

doi = "10.1007/978-3-319-45641-6_3",

language = "English",

isbn = "978-3-319-45640-9",

series = "Lecture Notes in Computer Science",

publisher = "Springer",

pages = "30--42",

editor = "Vorozhtsov, {Evgenii V.} and Gerdt, {Vladimir P.} and Wolfram Koepf and Seiler, {Werner M.}",

booktitle = "Computer Algebra in Scientific Computing",

}