arXiv.orgNew Paper ‘Computing with B-series’ published in ACM Transactions on Mathematical Software
The paper Computing with B-series of David I. Ketcheson and me has been published in ACM Transactions on Mathematical Software.
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.
As usual, you can find the preprint on arXiv. The reproducibility repository is available online. The software package BSeries.jl itself is available on GitHub.