An adjoint-free four-dimensional variational data assimilation method via a modified Cholesky decomposition and an iterative Woodbury matrix formula

Elias D. Nino-Ruiz; Luis G. Guzman-Reyes; Rolando Beltran-Arrieta

doi:10.1007/s11071-019-05411-w

An adjoint-free four-dimensional variational data assimilation method via a modified Cholesky decomposition and an iterative Woodbury matrix formula

Nonlinear Dynamics ◽

10.1007/s11071-019-05411-w ◽

2019 ◽

Vol 99 (3) ◽

pp. 2441-2457 ◽

Cited By ~ 1

Author(s):

Elias D. Nino-Ruiz ◽

Luis G. Guzman-Reyes ◽

Rolando Beltran-Arrieta

Keyword(s):

Data Assimilation ◽

Cholesky Decomposition ◽

Variational Data Assimilation ◽

Modified Cholesky Decomposition ◽

Matrix Formula

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A Random Line-Search Optimization Method via Modified Cholesky Decomposition for Non-linear Data Assimilation

Lecture Notes in Computer Science - Computational Science – ICCS 2020 ◽

10.1007/978-3-030-50426-7_15 ◽

2020 ◽

pp. 189-202

Author(s):

Elias D. Nino-Ruiz

Keyword(s):

Data Assimilation ◽

Line Search ◽

Cholesky Decomposition ◽

Optimization Method ◽

Modified Cholesky Decomposition ◽

Search Optimization ◽

Random Line ◽

Non Linear

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Non-Gaussian data assimilation via modified cholesky decomposition

2018 7th International Conference on Computers Communications and Control (ICCCC) ◽

10.1109/icccc.2018.8390433 ◽

2018 ◽

Author(s):

Elias D. Nino-Ruiz ◽

Alfonso M. Mancilla-Herrera ◽

Rolando Beltran-Arrieta

Keyword(s):

Data Assimilation ◽

Cholesky Decomposition ◽

Modified Cholesky Decomposition ◽

Non Gaussian ◽

Gaussian Data

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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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Combining Ensemble and Variational Data Assimilation

10.21236/ada599186 ◽

2013 ◽

Author(s):

Peter R. Oke ◽

Alexander Kurapov

Keyword(s):

Data Assimilation ◽

Variational Data Assimilation

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Continued Development of 4D-Variational Data Assimilation and Adjoint-Based Methods of Sensitivity Analysis and Applications Using ROMS

10.21236/ada613575 ◽

2006 ◽

Author(s):

Andrew M. Moore ◽

Ralph F. Milliff ◽

Hernan G. Arango

Keyword(s):

Sensitivity Analysis ◽

Data Assimilation ◽

Variational Data Assimilation

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Observation Space Variational Data Assimilation Methods

Data Assimilation for the Geosciences ◽

10.1016/b978-0-12-804444-5.00018-0 ◽

2017 ◽

pp. 753-763

Author(s):

Steven J. Fletcher

Keyword(s):

Data Assimilation ◽

Variational Data Assimilation ◽

Observation Space

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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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Incremental four-dimensional variational data assimilation of positive-definite oceanic variables using a logarithm transformation

Ocean Modelling ◽

10.1016/j.ocemod.2012.06.001 ◽

2012 ◽

Vol 54-55 ◽

pp. 1-17 ◽

Cited By ~ 23

Author(s):

Hajoon Song ◽

Christopher A. Edwards ◽

Andrew M. Moore ◽

Jerome Fiechter

Keyword(s):

Data Assimilation ◽

Positive Definite ◽

Variational Data Assimilation

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