Computing with B-series

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING

ACM Transactions on Mathematical Software Pub Date : 2021-11-23 DOI:10.1145/3573384

D. Ketcheson, Hendrik Ranocha

引用次数: 5

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.

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使用B系列进行计算

我们提出b系列。jl，一个用于计算和操作b系列的Julia包，它是一个用于理解和设计微分方程离散化的通用理论工具。本文简要介绍了b级数的理论和相关概念，并举例说明了它们的应用，包括方法组成和逆向误差分析。配套软件性能优异，可与b系列高阶产品配套使用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ACM Transactions on Mathematical Software 工程技术-计算机：软件工程

CiteScore

5.00

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： As a scientific journal, ACM Transactions on Mathematical Software (TOMS) documents the theoretical underpinnings of numeric, symbolic, algebraic, and geometric computing applications. It focuses on analysis and construction of algorithms and programs, and the interaction of programs and architecture. Algorithms documented in TOMS are available as the Collected Algorithms of the ACM at calgo.acm.org.