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    Four-Dimensional Variational Data Assimilation for Limited-Area Models: Lateral Boundary Conditions, Solution Uniqueness, and Numerical Convergence 

    Source: Journal of the Atmospheric Sciences:;2000:;Volume( 057 ):;issue: 009:;page 1341
    Author(s): Lu, Chungu; Browning, Gerald L.
    Publisher: American Meteorological Society
    Abstract: Mathematical issues arising when applying four-dimensional variational (4DVAR) data assimilation to limited-area problems are studied. The derivation of the adjoint system for the initial-boundary value problem for a general ...
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    Discontinuous Forcing Generating Rough Initial Conditions in 4DVAR Data Assimilation 

    Source: Journal of the Atmospheric Sciences:;2000:;Volume( 057 ):;issue: 010:;page 1646
    Author(s): Lu, Chungu; Browning, Gerald L.
    Publisher: American Meteorological Society
    Abstract: The impact of discontinuous model forcing on the initial conditions obtained from 4DVAR data assimilation is studied with mathematic analyses, idealized numerical examples, and more realistic meteorological cases. The ...
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    Comparison of Grids and Difference Approximations for Numerical Weather Prediction Over a Sphere 

    Source: Journal of Applied Meteorology:;1973:;volume( 012 ):;issue: 002:;page 264
    Author(s): Williamson, David L.; Browning, Gerald L.
    Publisher: American Meteorological Society
    Abstract: The accuracy of finite-diffrerence approximations to the shallow water equations on a sphere is examined for flow cases having an analytic solution. Approximations over grids with the longitudinal grid increment (??) ...
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    Formulation of the Lateral Boundary Conditions for the NCAR Limited-Area Model 

    Source: Journal of Applied Meteorology:;1974:;volume( 013 ):;issue: 001:;page 8
    Author(s): Williamson, David L.; Browning, Gerald L.
    Publisher: American Meteorological Society
    Abstract: The Limited-Area Model (LAM) developed at the National Center for Atmospheric Research for use in conjunction with the NCAR Global Circulation Model is described including details of the lateral boundary conditions. One ...
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    Impact of Formulation of Cost Function and Constraints on Three-Dimensional Variational Data Assimilation 

    Source: Monthly Weather Review:;2002:;volume( 130 ):;issue: 010:;page 2433
    Author(s): Xie, Yuanfu; Lu, Chungu; Browning, Gerald L.
    Publisher: American Meteorological Society
    Abstract: Three-dimensional variational data assimilation (3DVAR) analysis is an important method used at many operational and research institutes in meteorology, for example, the National Centers for Environmental Prediction (NCEP) ...
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    Comparison of Space and Time Errors in Spectral Numerical Solutions of the Global Shallow-Water Equations 

    Source: Monthly Weather Review:;1993:;volume( 121 ):;issue: 011:;page 3150
    Author(s): Naughton, Michael J.; Browning, Gerald L.; Bourke, William
    Publisher: American Meteorological Society
    Abstract: The convergence of spectral model numerical solutions of the global shallow-water equations is examined as a function of the time step and the spectral truncation. The contributions to the errors due to the spatial and ...
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