New Preprint ‘Computing with B-series’ on arXiv

David I. Ketcheson and I have published our new preprint Computing with B-series on arXiv.

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.

The associated software is available on GitHub.