Degenerate Kalman filter error covariances and their convergence onto the unstable subspace M Bocquet, KS Gurumoorthy, A Apte, A Carrassi, C Grudzien, ... SIAM/ASA Journal on Uncertainty Quantification 5 (1), 304-333, 2017 | 47 | 2017 |
Chaotic dynamics and the role of covariance inflation for reduced rank Kalman filters with model error C Grudzien, A Carrassi, M Bocquet Nonlinear Processes in Geophysics 25 (3), 633-648, 2018 | 24 | 2018 |
Rank deficiency of Kalman error covariance matrices in linear time-varying system with deterministic evolution KS Gurumoorthy, C Grudzien, A Apte, A Carrassi, CKRT Jones SIAM Journal on Control and Optimization 55 (2), 741-759, 2017 | 24* | 2017 |
Asymptotic forecast uncertainty and the unstable subspace in the presence of additive model error C Grudzien, A Carrassi, M Bocquet SIAM/ASA Journal on Uncertainty Quantification 6 (4), 1335-1363, 2018 | 19 | 2018 |
Data assimilation for chaotic systems A Carrassi, C Grudzien, M Bocquet, J Demaeyer, P Raanes, S Vannitsem Data assimilation for atmospheric, oceanic and hydrological applications, 2021 | 11* | 2021 |
Geometric phase in the Hopf bundle and the stability of non-linear waves CJ Grudzien, TJ Bridges, CKRT Jones Physica D: Nonlinear Phenomena 334, 4-18, 2016 | 10 | 2016 |
Structure-and Physics-Preserving Reductions of Power Grid Models C Grudzien, D Deka, M Chertkov, SN Backhaus Multiscale Modeling & Simulation 16 (4), 1916-1947, 2018 | 6 | 2018 |
On the numerical integration of the Lorenz-96 model, with scalar additive noise, for benchmark twin experiments Grudzien C., Bocquet M., Carrassi A. Geosci. Model Dev. 13, 1903–1924, 2020 | 5 | 2020 |
The instability of the Hocking–Stewartson pulse and its geometric phase in the Hopf bundle C Grudzien Journal of Computational and Applied Mathematics 307, 162-169, 2016 | 4 | 2016 |
A fast, single-iteration ensemble Kalman smoother for sequential data assimilation C Grudzien, M Bocquet Geoscientific Model Development Discussions, 1-62, 2021 | 1 | 2021 |
A Tutorial on Bayesian Data Assimilation C Grudzien, M Bocquet arXiv preprint arXiv:2112.07704, 2021 | | 2021 |
The method of the geometric phase in the Hopf bundle as a reformulation of the Evans function for reaction diffusion equations CJ Grudzien The University of North Carolina at Chapel Hill, 2016 | | 2016 |