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Computing with B-series (2111.11680v2)
Published 23 Nov 2021 in math.NA, cs.MS, cs.NA, and cs.SC
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.