论文标题

MATLAB \八度中无方程函数的工具箱,以进行有效的系统级仿真

A toolbox of Equation-Free functions in Matlab\Octave for efficient system level simulation

论文作者

Maclean, John, Bunder, J. E., Roberts, A. J.

论文摘要

“无方程工具箱”赋予了复杂的多尺度系统的计算机辅助分析。它的目的是使您能够立即使用显微镜模拟器执行宏观尺度的系统级任务和分析,因为微观模拟通常是系统的最佳可用描述。该方法绕过了宏观演化方程的推导,仅在空间中的小斑块上计算微尺度模拟器,分别在时间和空间上分别分别分离了微斑块。我们以可访问的方式介绍了无编码方程函数的套件,链接到更详细的描述,讨论其数学支持,并引入了一种新颖有效的算法以进行投射集成。然后详细介绍工具箱开发的某些方面开发。下载工具箱功能(https://github.com/uoa1184615/equationfreegit),用于在广泛的科学和工程问题中赋予高效,准确的模拟。

The `equation-free toolbox' empowers the computer-assisted analysis of complex, multiscale systems. Its aim is to enable you to immediately use microscopic simulators to perform macro-scale system level tasks and analysis, because micro-scale simulations are often the best available description of a system. The methodology bypasses the derivation of macroscopic evolution equations by computing the micro-scale simulator only over short bursts in time on small patches in space, with bursts and patches well-separated in time and space respectively. We introduce the suite of coded equation-free functions in an accessible way, link to more detailed descriptions, discuss their mathematical support, and introduce a novel and efficient algorithm for Projective Integration. Some facets of toolbox development of equation-free functions are then detailed. Download the toolbox functions (https://github.com/uoa1184615/EquationFreeGit) and use to empower efficient and accurate simulation in a wide range of your science and engineering problems.

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