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.

翻译：Bseries.jl是用于计算和操纵B系列的Julia软件包,它是理解和设计差异方程式的离散化的多用途理论工具,我们简短介绍了B系列理论和相关概念,并举例说明了它们的使用,包括方法构成和后向错误分析,相关的软件非常有性能,能够与高顺序的B系列合作。