501
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Lower bound estimation of the maximum allowable initial error and its numerical calculation

最大允许初始误差的下界估计及数值计算

, &
Pages 438-443 | Received 07 Jan 2018, Accepted 03 Apr 2018, Published online: 12 Oct 2018

References

  • Duan, W. S., and H. Y. Luo. 2010. “A New Strategy for Solving A Class of Constrained Nonlinear Optimization Problems Related to Weather and Climate Predictability.” Advances in Atmospheric Sciences 27 (4): 741–749. doi:10.1007/s00376-009-9141-0.
  • Ikeda, K. 1979. “Multiple-Valued Stationary State and Its Instability of the Transmitted Light by a Ring Cavity System.” Optics Communications 30: 257–261. doi:10.1016/0030-4018(79)90090-7.
  • Kalnay, E. 2002. Atmospheric Modeling, Data Assimilation and Predictability. Cambridge: Cambridge University Press.
  • Li, Q., Q. Zheng, and S. Z. Zhou. 2016. “Study on the Dependence of the Two-Dimensional Ikeda Model on the Parameter.” Atmospheric and Oceanic Science Letters 9: 1–6. doi:10.1080/16742834.2015.1128694.
  • Lorenz, E. 1996. “Predictability-A Problem Partly Solved.” In Proc. Seminar on Predictability,18 pp. Reading, UK: ECMWF.
  • Lorenz, E. N. 1975. “Climate Predictability. The Physical Basis of Climate Modeling.” Global Atmosphere Research Program Publication Series 16:132–136. World Meteorological Organization.
  • Mu, M., and W. S. Duan. 2003. “A New Approach to Studying ENSO Predictability: Conditional Nonlinear Optimal Perturbation.” Chinese Science Bulletin 48: 1045–1047. doi:10.1007/BF03184224.
  • Mu, M., W. S. Duan, and J. C. Wang. 2002. “The Predictability Problems in Numerical Weather and Climate Prediction.” Advances in Atmospheric Sciences 19: 191–204. doi:10.1007/s00376-002-0016-x.
  • Wang, W. Q. 2007. “Research on Ensemble Square Root Filter Assimilation Based on Lorenz - 96 Model.” Master diss., Lanzhou University.
  • Yang, Z. B., Q. Zheng, and P. Wang. 2017. “The Applications of the Particle Swarm Optimization to the Predictability Problems.” Journal of PLA University of Science and Technology 2: 135. doi:10.12018/j.issn.1009-3443.20161216001.
  • Zheng, Q., Z. B. Yang, J. X. Sha, and J. 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): 1–21. doi:10.5194/npg-24-101-2017.