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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Latest update: 15 Jun 2021
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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.