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Equation-free modeling
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<p>Equation-free modeling is a method for <a href="/facts/Multiscale_computation/PkxUJ6FN">multiscale computation</a> and <a href="/facts/Computer-aided_analysis/Re6o8vzN">computer-aided analysis</a>. It is designed for a class of complicated systems in which one observes evolution at a macroscopic, coarse scale of interest, while accurate models are only given at a finely detailed, microscopic, level of description. The framework empowers one to perform macroscopic computational tasks (over large space-time scales) using only appropriately initialized <a href="/facts/Microscopic_simulation/wa3WnKaP">microscopic simulation</a> on short time and small length scales. The methodology eliminates the derivation of explicit macroscopic <a href="/facts/Evolution_equation/8XxTc0fN">evolution equations</a> when these equations conceptually exist but are not available in closed form; hence the term equation-free. </p>