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Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques - MaRDI portal

Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques (Q6148331)

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scientific article; zbMATH DE number 7786762

Language	Label	Description	Also known as
English	Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques	scientific article; zbMATH DE number 7786762

Statements

scholarly article

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Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques (English)

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Ming-Cheng Shiue

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Results in Applied Mathematics

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publication date

11 January 2024

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zbMATH Keywords

synchronization

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data assimilation

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back and forth nudging

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nonlinearity

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convergence

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.rinam.2023.100407

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Synchronization in chaotic systems

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Back and forth nudging algorithm for data assimilation problems

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Feedback control of nonlinear dissipative systems by finite determining parameters -- a reaction-diffusion paradigm

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Finite determining parameters feedback control for distributed nonlinear dissipative systems -- a computational study

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Continuous data assimilation using general interpolant observables

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Continuous data assimilation algorithm for simplified Bardina model

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Continuous data assimilation for the three-dimensional Navier–Stokes-α model

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Continuous data assimilation with stochastically noisy data

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Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations

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Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation

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Continuous data assimilation for the 2D Bénard convection through velocity measurements alone

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Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field

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Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements

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Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone

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Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations

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Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation

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Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation

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Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model

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Continuous data assimilation for the 3D primitive equations of the ocean

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Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes system

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Downscaling the 2D Bénard convection equations using continuous data assimilation

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Continuous data assimilation for two-phase flow: analysis and simulations

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Continuous data assimilation and long-time accuracy in a \(C^0\) interior penalty method for the Cahn-Hilliard equation

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Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations

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Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm

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A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics

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Discrete data assimilation algorithm for the three-dimensional Leray-$\alpha $ model

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Discrete data assimilation for the three-dimensional Navier–Stokes-$\alpha $ model

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Fully discrete finite element data assimilation method for the heat equation

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Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm

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Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations

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Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates

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Discrete adjoint of fractional-step incompressible Navier-Stokes solver in curvilinear coordinates and application to data assimilation

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The Back and Forth Nudging algorithm for data assimilation problems : theoretical results on transport equations

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The back and forth nudging algorithm applied to a shallow water model, comparison and hybridization with the 4D-VAR

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Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process

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A time reversal based algorithm for solving initial data inverse problems

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On the behavior of the Lorenz equation backward in time

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Analysis and computation of continuous data assimilation algorithms for Lorenz 63 system based on nonlinear nudging techniques

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Infinite-dimensional dynamical systems in mechanics and physics.

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Determining modes and Grashof number in 2D turbulence: a numerical case study

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.RINAM.2023.100407

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Sitelinks

Mathematics(1 entry)

mardi Publication:6148331

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