Extensive numerical evidence shows that the assimilation of observations has a stabilizing effect on unstable dynamics, in numerical weather prediction and elsewhere. In this paper, we apply mathematically rigorous methods to showing why this is so. Our stabilization results do not assume a full set of observations and we provide examples where it suffices to observe the model's unstable degrees of freedom.
翻译:广泛的数字证据表明,观测结果的吸收对不稳定动态、数字天气预测和其他地方具有稳定效应。 在本文中,我们运用数学严谨的方法来说明为何如此。 我们的稳定结果并不包含全套观察结果,我们提供的例子足以说明模型的不稳定自由度。