芳香b系的代数结构

IF 1 Q3 Engineering

Journal of Computational Dynamics Pub Date : 2015-05-08 DOI:10.3934/jcd.2019010

Geir Bogfjellmo

引用次数: 11

摘要

芳香族b系是b系的泛化。为b系列定义的一些操作可以类比地定义为芳香b系列。本文推导了芳香族b系化合物的组合公式和取代规律。

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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Algebraic structure of aromatic B-series

Aromatic B-series are a generalization of B-series. Some of the operations defined for B-series can be defined analogically for aromatic B-series. This paper derives combinatorial formulas for the composition and substitution laws for aromatic B-series.

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来源期刊

Journal of Computational Dynamics Engineering-Computational Mechanics

CiteScore

2.30

自引率

10.00%

发文量

期刊介绍： JCD is focused on the intersection of computation with deterministic and stochastic dynamics. The mission of the journal is to publish papers that explore new computational methods for analyzing dynamic problems or use novel dynamical methods to improve computation. The subject matter of JCD includes both fundamental mathematical contributions and applications to problems from science and engineering. A non-exhaustive list of topics includes * Computation of phase-space structures and bifurcations * Multi-time-scale methods * Structure-preserving integration * Nonlinear and stochastic model reduction * Set-valued numerical techniques * Network and distributed dynamics JCD includes both original research and survey papers that give a detailed and illuminating treatment of an important area of current interest. The editorial board of JCD consists of world-leading researchers from mathematics, engineering, and science, all of whom are experts in both computational methods and the theory of dynamical systems.