We develop an algorithm for the concurrent (on-the-fly) estimation of parameters for a system of evolutionary dissipative partial differential equations in which the state is partially observed. The intuitive nature of the algorithm makes its extension to several different systems immediate, and it allows for recovery of multiple parameters simultaneously. We test this algorithm on the Kuramoto-Sivashinsky equation in one dimension and demonstrate its efficacy in this context.

翻译：我们开发了一种同时(即时)估算参数的算法,用以估算进化分离部分偏差方程式系统的参数,其中部分观察了状态。算法的直觉性质使它能立即扩展至几个不同的系统,并允许同时恢复多个参数。我们在一个维度上测试Kuramoto-Sivashinsky等方程式的这一算法,并在此范围内展示其有效性。