Articles | Volume 28, issue 1
Nonlin. Processes Geophys., 28, 93–109, 2021
https://doi.org/10.5194/npg-28-93-2021
Nonlin. Processes Geophys., 28, 93–109, 2021
https://doi.org/10.5194/npg-28-93-2021

Research article 08 Feb 2021

Research article | 08 Feb 2021

Behavior of the iterative ensemble-based variational method in nonlinear problems

Shin'ya Nakano

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Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision
AR by Shinya Nakano on behalf of the Authors (31 Aug 2020)  Author's response    Manuscript
ED: Referee Nomination & Report Request started (19 Oct 2020) by Amit Apte
RR by Anonymous Referee #3 (20 Oct 2020)
RR by Anonymous Referee #2 (13 Nov 2020)
ED: Publish subject to minor revisions (review by editor) (21 Dec 2020) by Amit Apte
AR by Shinya Nakano on behalf of the Authors (29 Dec 2020)  Author's response    Manuscript
ED: Publish as is (05 Jan 2021) by Amit Apte
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Short summary
The ensemble-based variational method is a method for solving nonlinear data assimilation problems by using an ensemble of multiple simulation results. Although this method is derived based on a linear approximation, highly uncertain problems, in which system nonlinearity is significant, can also be solved by applying this method iteratively. This paper reformulated this iterative algorithm to analyze its behavior in high-dimensional nonlinear problems and discuss the convergence.