This open-access textbook's significant contribution is the unified derivation of data-
assimilation techniques from a common fundamental and optimal starting point, namely …

We consider the eigenvalues and eigenvectors of an axisymmetric matrix $ A $ with some
special structures. We propose S-Oja-Brockett equation $\frac {dX}{dt}= AXB-XBX^ TSAX …

Previous studies showed that 4DVar (Four-dimensional Variational) technique used for data
assimilation could be modified for weather control and ours demonstrated the ability of …

Data assimilation is a method that combines observations (ie, real world data) of a state of a
system with model output for that system in order to improve the estimate of the state of the …

Data assimilation algorithms combine information from observations and prior model
information to obtain the most likely state of a dynamical system. The linearised weak …

As a key variable in the surface hydrological cycle and energy balance, soil moisture is often
analyzed using data assimilation to improve precise and high spatiotemporal resolution from …

Data assimilation is used to obtain an improved estimate (analysis) of the state of a
dynamical system by combining a previous estimate with observations of the system. A weak …

Eigenvalue estimates for saddle point matrices arising in weak constraint four-dimensional
variational data assimilation Page 1 Eigenvalue estimates for saddle point matrices arising in …