The conditioning of least-squares problems in variational data assimilation

Jemima M. Tabeart; Sarah L. Dance; Stephen A. Haben; Amos S. Lawless; Nancy K. Nichols; Joanne A. Waller

doi:10.1002/nla.2165

The conditioning of least-squares problems in variational data assimilation

Numerical Linear Algebra with Applications ◽

10.1002/nla.2165 ◽

2018 ◽

Vol 25 (5) ◽

pp. e2165 ◽

Cited By ~ 7

Author(s):

Jemima M. Tabeart ◽

Sarah L. Dance ◽

Stephen A. Haben ◽

Amos S. Lawless ◽

Nancy K. Nichols ◽

...

Keyword(s):

Data Assimilation ◽

Least Squares ◽

Variational Data Assimilation ◽

Least Squares Problems

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A nonlinear least squares four-dimensional variational data assimilation system for PM2.5 forecasts (NASM): Description and preliminary evaluation

Atmospheric Pollution Research ◽

10.1016/j.apr.2021.03.003 ◽

2021 ◽

Vol 12 (4) ◽

pp. 122-132

Author(s):

Shan Zhang ◽

Xiangjun Tian ◽

Hongqin Zhang ◽

Xiao Han ◽

Meigen Zhang

Keyword(s):

Data Assimilation ◽

Least Squares ◽

Nonlinear Least Squares ◽

Variational Data Assimilation ◽

Preliminary Evaluation ◽

Data Assimilation System ◽

Assimilation System

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A Big Data‐Driven Nonlinear Least Squares Four‐Dimensional Variational Data Assimilation Method: Theoretical Formulation and Conceptual Evaluation

Earth and Space Science ◽

10.1029/2019ea000735 ◽

2019 ◽

Vol 6 (8) ◽

pp. 1430-1439 ◽

Cited By ~ 2

Author(s):

Xiangjun Tian ◽

Hongqin Zhang

Keyword(s):

Big Data ◽

Data Assimilation ◽

Least Squares ◽

Nonlinear Least Squares ◽

Variational Data Assimilation ◽

Data Driven ◽

Theoretical Formulation

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A note on preconditioning weighted linear least-squares, with consequences for weakly constrained variational data assimilation

Quarterly Journal of the Royal Meteorological Society ◽

10.1002/qj.3262 ◽

2018 ◽

Vol 144 (712) ◽

pp. 934-940

Author(s):

Serge Gratton ◽

Selime Gürol ◽

Ehouarn Simon ◽

Philippe L. Toint

Keyword(s):

Data Assimilation ◽

Least Squares ◽

Variational Data Assimilation ◽

Linear Least Squares

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An inverse method to estimate emission rates based on nonlinear least-squares-based ensemble four-dimensional variational data assimilation with local air concentration measurements

Journal of Environmental Radioactivity ◽

10.1016/j.jenvrad.2017.12.004 ◽

2018 ◽

Vol 183 ◽

pp. 17-26 ◽

Cited By ~ 2

Author(s):

Xiaobing Geng ◽

Zhenghui Xie ◽

Lijun Zhang ◽

Mei Xu ◽

Binghao Jia

Keyword(s):

Data Assimilation ◽

Least Squares ◽

Inverse Method ◽

Nonlinear Least Squares ◽

Variational Data Assimilation ◽

Emission Rates ◽

Air Concentration ◽

Concentration Measurements

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A Multigrid Nonlinear Least Squares Four-Dimensional Variational Data Assimilation Scheme With the Advanced Research Weather Research and Forecasting Model

Journal of Geophysical Research Atmospheres ◽

10.1029/2017jd027529 ◽

2018 ◽

Vol 123 (10) ◽

pp. 5116-5129 ◽

Cited By ~ 5

Author(s):

Hongqin Zhang ◽

Xiangjun Tian

Keyword(s):

Data Assimilation ◽

Least Squares ◽

Nonlinear Least Squares ◽

Variational Data Assimilation ◽

Weather Research And Forecasting ◽

Forecasting Model ◽

Data Assimilation Scheme ◽

Assimilation Scheme ◽

Weather Research

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System of Multigrid Nonlinear Least-squares Four-dimensional Variational Data Assimilation for Numerical Weather Prediction (SNAP): System Formulation and Preliminary Evaluation

Advances in Atmospheric Sciences ◽

10.1007/s00376-020-9252-1 ◽

2020 ◽

Vol 37 (11) ◽

pp. 1267-1284

Author(s):

Hongqin Zhang ◽

Xiangjun Tian ◽

Wei Cheng ◽

Lipeng Jiang

Keyword(s):

Data Assimilation ◽

Least Squares ◽

Numerical Weather Prediction ◽

Weather Prediction ◽

Nonlinear Least Squares ◽

Variational Data Assimilation ◽

Preliminary Evaluation ◽

Numerical Weather

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A Direct Decomposition Method for the Solution of Sparse Linear Least Squares Problems

10.21236/ada284060 ◽

1994 ◽

Author(s):

A. K. Kevorkian

Keyword(s):

Least Squares ◽

Decomposition Method ◽

Direct Decomposition ◽

Linear Least Squares ◽

Least Squares Problems ◽

Linear Least Squares Problems

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Variational Data Assimilation for Near-Shore Waves Using the Extended Boussinesq Equations

10.21236/ada441232 ◽

2005 ◽

Author(s):

David T. Walker

Keyword(s):

Data Assimilation ◽

Boussinesq Equations ◽

Variational Data Assimilation ◽

Near Shore

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Western Pacific Tropical Cyclone Reanalysis With the NRL Atmospheric Variational Data Assimilation System

10.21236/ada531971 ◽

2009 ◽

Author(s):

Tim Li ◽

Xin Zhang

Keyword(s):

Tropical Cyclone ◽

Data Assimilation ◽

Variational Data Assimilation ◽

Western Pacific ◽

Data Assimilation System ◽

Assimilation System

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Combining Ensemble and Variational Data Assimilation

10.21236/ada542745 ◽

2010 ◽

Author(s):

Peter R. Oke ◽

Alexandra Kurapov

Keyword(s):

Data Assimilation ◽

Variational Data Assimilation

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