Conclusion
Opérateur observation
Data assimilation combines the information issued from a model and observations
The information weight is proportional the inverses of their errors
Data assimilation is part of modeling for a wide variety of applications
\(\displaystyle J(\underline{x}) ={1\over 2} \left(\underline{x} - \underline{x}^b\right)^T \underline{\underline B}^{-1} \left(\underline{x} - \underline{x}^b\right)+ {1\over 2} \left[\underline{y}^o - {\cal G}(\underline{x})\right]^T \underline{\underline R}^{-1}\left[\underline{y}^o - {\cal G}(\underline{x})\right]\) |
