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.

中文翻译：

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Matlab\Octave 中的无方程函数工具箱，用于高效的系统级仿真

“无方程工具箱”支持对复杂的多尺度系统进行计算机辅助分析。其目的是让您能够立即使用微观模拟器来执行宏观系统级任务和分析，因为微观模拟通常是系统的最佳可用描述。该方法通过仅在空间小块上的短时间突发上计算微尺度模拟器来绕过宏观演化方程的推导，突发和块分别在时间和空间上分离良好。我们以一种易于理解的方式介绍了一套编码的无方程函数，链接到更详细的描述，讨论它们的数学支持，并介绍了一种新颖有效的投影积分算法。然后详细介绍了无方程函数的工具箱开发的一些方面。下载工具箱函数 (https://github.com/uoa1184615/EquationFreeGit) 并用于在广泛的科学和工程问题中进行高效准确的模拟。