Computing with B-series

dc.contributor.author	Ketcheson, David I.
dc.contributor.author	Ranocha, Hendrik
dc.date.accessioned	2021-11-29T12:33:15Z
dc.date.available	2021-11-29T12:33:15Z
dc.date.issued	2021-11-23
dc.identifier.uri	http://hdl.handle.net/10754/673827
dc.description.abstract	We present BSeries.jl, a Julia package for the computation and manipulation of B-series, which are a versatile theoretical tool for understanding and designing discretizations of differential equations. We give a short introduction to the theory of B-series and associated concepts and provide examples of their use, including method composition and backward error analysis. The associated software is highly performant and makes it possible to work with B-series of high order.
dc.publisher	arXiv
dc.relation.url	https://arxiv.org/pdf/2111.11680.pdf
dc.rights	Archived with thanks to arXiv
dc.title	Computing with B-series
dc.type	Preprint
dc.contributor.department	Applied Mathematics and Computational Science Program
dc.contributor.department	Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
dc.contributor.department	Numerical Mathematics Group
dc.eprint.version	Pre-print
dc.contributor.institution	Applied Mathematics, University of Münster, Germany.
dc.identifier.arxivid	2111.11680
kaust.person	Ketcheson, David I.
refterms.dateFOA	2021-11-29T12:34:55Z

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