Title: Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes
Language: English
Authors: Auzinger, Winfried
Hofstätter, Harald 
Ketcheson, David 
Koch, Othmar 
Category: Research Article
Issue Date: 2016
Journal: BIT Numerical Mathematics
ISSN: 1572-9125
We present a number of new contributions to the topic of constructing efficient higher-order splitting methods for the numerical integration of evolution equations. Particular schemes are constructed via setup and solution of polynomial systems for the splitting coefficients. To this end we use and modify a recent approach for generating these systems for a large class of splittings. In particular, various types of pairs of schemes intended for use in adaptive integrators are constructed.
Keywords: Evolution equations; Splitting methods; Free Lie algebra; Order conditions; Local error; Embedded methods
DOI: 10.1007/s10543-016-0626-9
Library ID: AC11360171
URN: urn:nbn:at:at-ubtuw:3-1971
Organisation: E101 - Institut für Analysis und Scientific Computing 
Publication Type: Article
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