Computing with B-series
Numerical Analysis
2022-12-06 v2 Mathematical Software
Numerical Analysis
Symbolic Computation
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.
Keywords
Cite
@article{arxiv.2111.11680,
title = {Computing with B-series},
author = {David I. Ketcheson and Hendrik Ranocha},
journal= {arXiv preprint arXiv:2111.11680},
year = {2022}
}