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Original Articles

Short-range evolution of small perturbations in a barotropic model

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Pages 81-95 | Published online: 15 Dec 2016

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Robert N. Miller, Everett F. Carter & Sally T. Blue. (1999) Data assimilation into nonlinear stochastic models. Tellus A: Dynamic Meteorology and Oceanography 51:2, pages 167-194.
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Istvan Szunyogh, Eugenia Kalnay & Zoltan Toth. (1997) A comparison of Lyapunov and optimal vectors in a low-resolution GCM. Tellus A: Dynamic Meteorology and Oceanography 49:2, pages 200-227.
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Carlos Pires, Robert Vautard & Olivier Talagrand. (1996) On extending the limits of variational assimilation in nonlinear chaotic systems. Tellus A: Dynamic Meteorology and Oceanography 48:1, pages 96-121.
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Saroja Polavarapu, Monique Tanguay, Richard Mànard & Andrew Staniforth. (1996) The tangent linear model for semi-Lagrangian schemes: linearizing the process of interpolation. Tellus A: Dynamic Meteorology and Oceanography 48:1, pages 74-95.
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Ronald M. Errico, Tomislava VukiĆEviĆ & Kevin Raeder. (1993) Examination of the accuracy of a tangent linear model. Tellus A: Dynamic Meteorology and Oceanography 45:5, pages 462-477.
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Jan Barkmeijer, Peter Houtekamer & Xueli Wang. (1993) Validation of a skill prediction method. Tellus A: Dynamic Meteorology and Oceanography 45:5, pages 424-434.
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R. Buizza, J. Tribbia, F. Molteni & T. Palmer. (1993) Computation of optimal unstable structures for a numerical weather prediction model. Tellus A: Dynamic Meteorology and Oceanography 45:5, pages 388-407.
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Bernard Urban. (1993) A method to determine the theoretical maximum error growth in atmospheric models. Tellus A: Dynamic Meteorology and Oceanography 45:4, pages 270-280.
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Jan Barkmeijer. (1992) Local error growth in a barotropic model. Tellus A: Dynamic Meteorology and Oceanography 44:4, pages 314-323.
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Pierre Gauthier. (1992) Chaos and quadri-dimensional data assimilation: a study based on the Lorenz model. Tellus A: Dynamic Meteorology and Oceanography 44:1, pages 2-17.
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P. L. Houtekamer. (1991) Variation of the predictability in a low-order spectral model of the atmospheric circulation. Tellus A: Dynamic Meteorology and Oceanography 43:3, pages 177-190.
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Philippe Courtier & Olivier Talagrand. (1990) Variational assimilation of meteorological observations with the direct and adjoint shallow-water equations. Tellus A: Dynamic Meteorology and Oceanography 42:5, pages 531-549.
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Xuan Li, Jie Feng, Ruiqiang Ding & Jianping Li. (2021) Application of Backward Nonlinear Local Lyapunov Exponent Method to Assessing the Relative Impacts of Initial Condition and Model Errors on Local Backward Predictability. Advances in Atmospheric Sciences 38:9, pages 1486-1496.
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Xuan Li, Ruiqiang Ding & Jianping Li. (2020) Quantitative study of the relative effects of initial condition and model uncertainties on local predictability in a nonlinear dynamical system. Chaos, Solitons & Fractals 139, pages 110094.
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Karmina K Ali, R Yilmazer, H M Baskonus & H Bulut. (2020) Modulation instability analysis and analytical solutions to the system of equations for the ion sound and Langmuir waves. Physica Scripta 95:6, pages 065602.
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Yuntao Wei, Hong-Li Ren, Mu Mu & Joshua-Xiouhua Fu. (2019) Nonlinear optimal moisture perturbations as excitation of primary MJO events in a hybrid coupled climate model. Climate Dynamics 54:1-2, pages 675-699.
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Xuan Li, Ruiqiang Ding & Jianping Li. (2019) Determination of the Backward Predictability Limit and Its Relationship with the Forward Predictability Limit. Advances in Atmospheric Sciences 36:6, pages 669-677.
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Quanjia Zhong, Lifeng Zhang, Jianping Li, Ruiqiang Ding & Jie Feng. (2018) Estimating the Predictability Limit of Tropical Cyclone Tracks over the Western North Pacific Using Observational Data. Advances in Atmospheric Sciences 35:12, pages 1491-1504.
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Ruiqiang Ding, Jianping Li & Baosheng Li. (2019) Determining the spectrum of the nonlinear local Lyapunov exponents in a multidimensional chaotic system. Advances in Atmospheric Sciences 34:9, pages 1027-1034.
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Qin Zheng, Zubin Yang, Jianxin Sha & Jun Yan. (2017) Conditional nonlinear optimal perturbations based on the particle swarm optimization and their applications to the predictability problems. Nonlinear Processes in Geophysics 24:1, pages 101-112.
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Jie Feng, Ruiqiang Ding, Deqiang Liu & Jianping Li. (2014) The Application of Nonlinear Local Lyapunov Vectors to Ensemble Predictions in Lorenz Systems. Journal of the Atmospheric Sciences 71:9, pages 3554-3567.
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ANNA TREVISAN & LUIGI PALATELLA. (2012) CHAOS AND WEATHER FORECASTING: THE ROLE OF THE UNSTABLE SUBSPACE IN PREDICTABILITY AND STATE ESTIMATION PROBLEMS. International Journal of Bifurcation and Chaos 21:12, pages 3389-3415.
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Ding Rui-Qiang, Li Jian-Ping & Ha Kyung-Ja. (2008) Nonlinear Local Lyapunov Exponent and Quantification of Local Predictability. Chinese Physics Letters 25:5, pages 1919-1922.
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Baohua Chen, Jianping Li & Ruiqiang Ding. (2006) Nonlinear local Lyapunov exponent and atmospheric predictability research. Science in China Series D: Earth Sciences 49:10, pages 1111-1120.
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Peter Corbett & Alessandro Bottaro. (2000) Optimal perturbations for boundary layers subject to stream-wise pressure gradient. Physics of Fluids 12:1, pages 120-130.
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L. A. Smith, C. Ziehmann & K. Fraedrich. (2007) Uncertainty dynamics and predictability in chaotic systems. Quarterly Journal of the Royal Meteorological Society 125:560, pages 2855-2886.
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Hitoshi Mukougawa & Toru Ikeda. (1994) Optimal Excitation of Baroclinic Waves in the Eady Model. Journal of the Meteorological Society of Japan. Ser. II 72:4, pages 499-513.
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Philippe Courtier & Olivier Talagrand. (2007) Variational Assimilation of Meteorological Observations With the Adjoint Vorticity Equation. Ii: Numerical Results. Quarterly Journal of the Royal Meteorological Society 113:478, pages 1329-1347.
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Olivier Talagrand & Philippe Courtier. (2007) Variational Assimilation of Meteorological Observations With the Adjoint Vorticity Equation. I: Theory. Quarterly Journal of the Royal Meteorological Society 113:478, pages 1311-1328.
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