论文标题
特征信息数据同化 - 定义和说明性示例
Feature-Informed Data Assimilation -- Definitions and Illustrative Examples
论文作者
论文摘要
我们介绍了特征信息同化（FIDA）的数学公式。在FIDA中，动态系统中有关特征事件的信息，例如冲击波，电平曲线，波前和峰值，用于估计状态变量和未知参数。 FIDA中的观测运算符是一个设定值的功能，它与常规数据同化的观察算子根本不同。在三个例子中证明，本说明中引入的FIDA问题在科学和工程中的广泛应用中存在。
We introduce a mathematical formulation of feature-informed data assimilation (FIDA). In FIDA, the information about feature events, such as shock waves, level curves, wavefronts and peak value, in dynamical systems are used for the estimation of state variables and unknown parameters. The observation operator in FIDA is a set-valued functional, which is fundamentally different from the observation operators in conventional data assimilation. Demonstrated in three example, FIDA problems introduced in this note exist in a wide spectrum of applications in science and engineering.
