Incorporating Ensemble Covariance in the Gridpoint Statistical Interpolation Variational Minimization: A Mathematical Framework

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Direct Assimilation of Radar Reflectivity without Tangent Linear and Adjoint of the Nonlinear Observation Operator in the GSI-Based EnVar System: Methodology and Experiment with the 8 May 2003 Oklahoma City Tornadic Supercell (2017, background): “Wang (2010) described the mathematical details of the GSI-based EnVar formulations.”
GSI 3DVar-Based Ensemble-Variational Hybrid Data Assimilation for NCEP Global Forecast System: Single-Resolution Experiments (2013, methodology): “For further details 172 please refer to Wang (2010). 173 Another component of the GHDA is the ensemble update, which is achieved by using an 174 EnKF.”
A review of operational methods of variational and ensemble‐variational data assimilation (2017, unknown): “…WRF (Skamarock et al., 2005), WRF-Chem (Schwartz et al., 2012) 4DEnVar, hybrid 3D-Var B05, L03 50, 37 Wang et al. (2008a); Liu et al. (2009); Wang (2010) and Schwartz et al. (2014) PSU WRF Hybrid En4DVar L03 40 Zhang and Zhang (2012) UoSF WRF 4DEnVar B05 38 Liu et al. (2009) Arpège…”