精确里程碑的数学框架。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2016-01-01 Epub Date: 2016-03-03 DOI:10.1137/15M102157X

David Aristoff, Juan M Bello-Rivas, Ron Elber

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引用次数: 20

摘要

我们给出了精确里程碑的数学框架，精确里程碑是一种将连续时间随机过程映射到可有效模拟和分析的马尔可夫链或半马尔可夫过程的新算法。我们推广了精确里程碑的设置，并给出了里程碑方程中平均首次通过时间误差的显式误差界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A MATHEMATICAL FRAMEWORK FOR EXACT MILESTONING.

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A MATHEMATICAL FRAMEWORK FOR EXACT MILESTONING.

We give a mathematical framework for Exact Milestoning, a recently introduced algorithm for mapping a continuous time stochastic process into a Markov chain or semi-Markov process that can be efficiently simulated and analyzed. We generalize the setting of Exact Milestoning and give explicit error bounds for the error in the Milestoning equation for mean first passage times.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.