Reconstructing the initial state for the nonlinear system and analyzing its convergence
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1687-1847-2014-82.pdf
Reference9 articles.
1. Ramdani K, Tucsnak M, Weiss G: Recovering the initial state of an infinite-dimensional system using observers. Automatica 2010, 46(10):1616–1625. 10.1016/j.automatica.2010.06.032
2. Auroux D, Blum J: A nudging-based data assimilation method: the Back and Forth Nudging (BFN) algorithm. Nonlinear Process. Geophys. 2008, 15: 305–319. 10.5194/npg-15-305-2008
3. Auroux D, Blum J: Back and forth nudging algorithm for data assimilation problems. C. R. Math. Acad. Sci. Paris 2005, 340: 873–878. 10.1016/j.crma.2005.05.006
4. Hoke J, Anthes A: The initialization of numerical models by a dynamic initialization technique. Mon. Weather Rev. 1976, 104: 1551–1556. 10.1175/1520-0493(1976)104<1551:TIONMB>2.0.CO;2
5. Liu K: Locally distributed control and damping for the conservative system. SIAM J. Control Optim. 1997, 35(5):1574–1590. 10.1137/S0363012995284928
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1. Reconstructing the Initial State of the Linear System and Estimating its Error in Discretization;Taiwanese Journal of Mathematics;2022-01-01
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