28 citations as recorded by crossref.

1. A Method for Identifying the Sensitive Areas in Targeted Observations for Tropical Cyclone Prediction: Conditional Nonlinear Optimal Perturbation M. Mu et al. https://doi.org/10.1175/2008MWR2640.1
2. An enhanced ensemble‐based method for computing CNOPs using an efficient localization implementation scheme and a two‐step optimization strategy: formulation and preliminary tests X. Tian et al. https://doi.org/10.1002/qj.2703
3. CNOP-P-based parameter sensitivity for double-gyre variation in ROMS with simulated annealing algorithm S. Yuan et al. https://doi.org/10.1007/s00343-019-7266-2
4. An optimization approach for analysing nonlinear stability with transition to turbulence in fluids as an exemplar R. Kerswell et al. https://doi.org/10.1088/0034-4885/77/8/085901
5. Conditional nonlinear optimal perturbations based on the particle swarm optimization and their applications to the predictability problems Q. Zheng et al. https://doi.org/10.5194/npg-24-101-2017
6. Dynamics of nonlinear error growth and season‐dependent predictability of El Niño events in the Zebiak–Cane model Y. Yu et al. https://doi.org/10.1002/qj.526
7. Nonlinear Nonmodal Stability Theory R. Kerswell https://doi.org/10.1146/annurev-fluid-122316-045042
8. A numerical framework to understand transitions in high-dimensional stochastic dynamical systems H. Dijkstra et al. https://doi.org/10.1093/climsys/dzw003
9. Optimal precursors of double-gyre regime transitions with an adjoint-free method S. Yuan et al. https://doi.org/10.1007/s00343-019-7235-9
10. Recent Progress in Applications of the Conditional Nonlinear Optimal Perturbation Approach to Atmosphere-Ocean Sciences M. Mu et al. https://doi.org/10.1007/s11401-022-0376-8
11. A New Method to Calculate Nonlinear Optimal Perturbations for Ensemble Forecasting J. Ma et al. https://doi.org/10.1007/s00376-024-4069-y
12. An adjoint-free method to determine conditional nonlinear optimal perturbations A. Oosterwijk et al. https://doi.org/10.1016/j.cageo.2017.06.014
13. The impact of horizontal resolution on the CNOP and on its identified sensitive areas for tropical cyclone predictions F. Zhou & M. Mu https://doi.org/10.1007/s00376-011-1003-x
14. Sensitivity and resilience of the climate system: A conditional nonlinear optimization approach H. Dijkstra & J. Viebahn https://doi.org/10.1016/j.cnsns.2014.09.015
15. Application of the conditional nonlinear optimal perturbation method to the predictability study of the Kuroshio large meander Q. Wang et al. https://doi.org/10.1007/s00376-011-0199-0
16. A new application of conditional nonlinear optimal perturbation approach to boundary condition uncertainty Q. Wang & M. Mu https://doi.org/10.1002/2015JC011095
17. Dimension shifting based intelligent algorithm framework to solve conditional nonlinear optimal perturbation S. Yuan et al. https://doi.org/10.1016/j.cageo.2023.105375
18. Study on the Sensitivity of Initial Perturbations to the Development of a Vortex Observed in Southwest China G. Chen et al. https://doi.org/10.1029/2021JD034715
19. The time and regime dependencies of sensitive areas for tropical cyclone prediction using the CNOP method F. Zhou & M. Mu https://doi.org/10.1007/s00376-012-1174-0
20. Impact of nonlinear processes on formation of the Kuroshio large meander path in a barotropic inflow-outflow model P. Zhang et al. https://doi.org/10.1007/s00343-014-3285-1
21. A useful approach to sensitivity and predictability studies in geophysical fluid dynamics: conditional non-linear optimal perturbation Q. Wang et al. https://doi.org/10.1093/nsr/nwz039
22. A New Scheme for Capturing Global Conditional Nonlinear Optimal Perturbation S. Liu et al. https://doi.org/10.3390/jmse10030340
23. Effects of optimal initial errors on predicting the seasonal reduction of the upstream Kuroshio transport K. Zhang et al. https://doi.org/10.1016/j.dsr.2016.08.008
24. Does Model Parameter Error Cause a Significant “Spring Predictability Barrier” for El Niño Events in the Zebiak–Cane Model? Y. Yu et al. https://doi.org/10.1175/2011JCLI4022.1
25. A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints P. Mannix et al. https://doi.org/10.5802/smai-jcm.104
26. A Nonlinear Theory and Technology for Reducing the Uncertainty of High-Impact Ocean–Atmosphere Event Prediction M. Mu & W. Duan https://doi.org/10.1007/s00376-025-4467-9
27. Conditional Nonlinear Optimal Perturbations: Adjoint-Free Calculation Method and Preliminary Test B. Wang & X. Tan https://doi.org/10.1175/2009MWR3022.1
28. Optimal precursor of the transition from Kuroshio large meander to straight path Q. Wang et al. https://doi.org/10.1007/s00343-013-2301-1