Book

1. (with A.J. Majda) Filtering complex turbulent systems, Cambridge University Press, 2012.

Manuscript in reviewed

1. (with K. Brown) Assimilating irregularly spaced sparsely observed turbulent signals with hierarchical Bayesian reduced stochastic filters, J. Comput. Phys, 2012.
2. (with E.S. Bakunova) Optimal filtering of complex turbulent systems with memory depth through consistency constraints, J. Comput. Phys, 2012.
3. (with A.J. Majda) Physics constrained nonlinear regression models for time series, Nonlinearity, 2012.
4. (with E.L. Kang and A.J. Majda) Regression models with memory for the linear response of turbulent dynamical systems, Comm. Math. Sci., 2011.

Publications

1. (with A.J. Majda) Test models for filtering and prediction of moisture-coupled tropical waves, Q. J. R. Meteorol. Soc., 2012 (in press). [pdf]
2. (with E.L. Kang) Filtering nonlinear spatio-temporal chaos with autoregressive linear stochastic model, Physica D, 241(12), 1099-1113, 2012. [pdf]
3. (with E.L. Kang) Filtering partially observed multiscale systems with heterogeneous multiscale methods-based reduced climate models, Mon. Wea. Rev., 140(3), 860-873, 2012. [pdf]
4. Interpolating irregularly spaced observations for filtering turbulent complex systems, SIAM J. Sci. Comput., 33(5), 2620-2640, 2011. [pdf]
5. Numerical strategies for filtering partially observed stiff stochastic differential equations, J. Comput. Phys., 230(3), 744-762, 2011. [pdf]
6. (with A.J. Majda and B. Gershgorin) Mathematical strategies for filtering turbulent dynamical systems, Discrete Contin. Dynam. Syst. A, 27(2), 441-486, 2010. [pdf]
7. (with A.J. Majda) Filtering turbulent sparsely observed geophysical flows, Mon. Wea. Rev., 138(4), 1050-1083, 2010. [pdf]
8. (with B. Gershgorin and A.J. Majda) Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation, J. Comput. Phys., 229(1), 32-57, 2010. [pdf]
9. (with B. Gershgorin and A.J. Majda) Test models for improving filtering with model errors through stochastic parameter estimation, J. Comput. Phys., 229(1), 1-31, 2010. [pdf]
10. (with A.J. Majda) Catastrophic filter divergence in filtering nonlinear dissipative systems, Comm. Math. Sci. 8(1), 27-42, 2010. [pdf]
11. (with A.J. Majda) Filtering nonlinear dynamical systems with linear stochastic models, Nonlinearity, 21(6), 1281-1306, 2008. [pdf]
12. (with A.J. Majda) Mathematical strategies for filtering complex systems: Regularly spaced sparse observations, J. Comput. Phys., 227(10), 5304-5341, 2008. [pdf]
13. (with E. Castronovo and A.J. Majda) Mathematical test criteria for filtering complex systems: Plentiful observations, J. Comput. Phys., 227(7), 3678-3714, 2008. [pdf]
14. (with B.R. Hunt) Four-dimensional local ensemble transform Kalman filter: Numerical experiments with a global circulation model, Tellus A, 59(5), 731-748, 2007. [pdf]
15. (with W.F. Langford) The cusp-Hopf bifurcation, Int. J Bif. Chaos, 17(8), 2547-2570, 2007. [pdf]
16. (with A.J. Majda) Information flow between subspaces of complex dynamical systems, Proc. Nat. Acad. Sci., 104(23), 9558-9562, 2007. [pdf]
17. (with B.R. Hunt) A non-Gaussian ensemble filter for assimilating infrequent noisy observations, Tellus A, 59(2), 225-237, 2007. [pdf]
18. (with E.J. Fertig and B.R. Hunt) A comparative study of 4D-VAR and 4D ensemble Kalman filter: Perfect model simulations with Lorenz-96, Tellus A, 59(1), 96-100, 2007. [pdf]
19. (with M. Oczkowski, J.A. Yorke, E. Kalnay, and B.R. Hunt) Convex error growth patterns in a global weather model, Phys. Rev. Lett. 94, 228501, 2005. [pdf]