@article{fe03600a01a44d7eb4ae9d6f3a088386,

title = "Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes",

abstract = "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.",

author = "Winfried Auzinger and Harald Hofst{\"a}tter and Ketcheson, {David I.} and Othmar Koch",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: Open access funding provided by Technische Universit{\"a}t Wien. This work was supported by the Austrian Science Fund (FWF) under Grant P24157-N13, and by the Vienna Science and Technology Fund (WWTF) under Grant MA-14-002. The computational results presented have been achieved in part using the Vienna Scientific Cluster (VSC).",

year = "2016",

month = jul,

day = "28",

doi = "10.1007/s10543-016-0626-9",

language = "English (US)",

volume = "57",

pages = "55--74",

journal = "BIT Numerical Mathematics",

issn = "0006-3835",

publisher = "Springer Verlag",

number = "1",

}