Computing with B-series-Reference-Cited by-同舟云学术

Computing with B-series

Published:2022-12-02 Issue: Volume: Page:
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Ketcheson David I.¹,Ranocha Hendrik²

Affiliation:

1. CEMSE Division, King Abdullah University of Science & Technology (KAUST), Saudi Arabia

2. Applied Mathematics, University of Münster, Germany

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/3573384

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