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Gottwald, Georg A., Mitchell, Lewis, Reich, Sebastian, (2011), "Controlling Overestimation of Error Covariance in Ensemble Kalman Filters with Sparse Observations: A Variance-Limiting Kalman Filter", Monthly Weather Review, 139, 8: pg: 2650--2667, aug, (DOI: 10.1175/2011MWR3557.1)
Mitchell, Lewis, Carrassi, Alberto, (2014), "Accounting for model error due to unresolved scales within ensemble Kalman filtering", Quarterly Journal of the Royal Meteorological Society, 141, 689: pg: 1417–1428, (DOI: 10.1002/qj.2451). Cited by:
Mitchell, Lewis, Gottwald, Georg A., (2012), "On finite-size Lyapunov exponents in multiscale systems", Chaos, 22, 023115: (DOI: 10.1063/1.4704805)
Mitchell, Lewis, Gottwald, Georg A., (2012), "Data Assimilation in Slow–Fast Systems Using Homogenized Climate Models", Journal of the Atmospheric Sciences, 69, 4: pg: 1359--1377, apr, (DOI: 10.1175/JAS-D-11-0145.1)
Mitchell, Lewis, Gottwald, Georg A., (2012), "Controlling model error of underdamped forecast models in sparse observational networks using a variance-limiting Kalman filter", Quarterly Journal of the Royal Meteorological Society, 139, 670: pg: 212--225, jan, (DOI: 10.1002/qj.1968)
Sudakov, I., Vakulenko, S.A., Golden, K.M., (2015), "Arctic melt ponds and bifurcations in the climate system", Communications in Nonlinear Science and Numerical Simulation, 22, 1–3: pg: 70 - 81, (DOI: 10.1016/j.cnsns.2014.09.003). Cited by:
Hohenegger, C, Alali, B, Steffen, K. R, Perovich, D. K, Golden, K. M, (2012), "Transition in the fractal geometry of Arctic melt ponds", The Cryosphere, 6: pg: 1157-1162, Oct, (DOI: doi:10.5194/tc-6-1157-2012). Cited by:
Gowda, Karna, Kuehn, Christian, (2015), "Early-warning signs for pattern-formation in stochastic partial differential equations", Communications in Nonlinear Science and Numerical Simulation, 22, 1-3: pg: 55--69, (DOI: 10.1016/j.cnsns.2014.09.019). Cited by:
Harris, K. D., Dodds, P. S., Danforth, C. M. (2013), "Dynamical influence processes on networks: General theory and applications to social contagion", Phys. Rev. E, 88: pg: 022816, . Cited by:
Gowda, K., Silber, M., Riecke, H., (2014), "Transitions between patterned states in vegetation models for semiarid ecosystems", Physical Review E, 89: pg: 022701, (DOI: 10.1103/physreve.89.022701). Cited by:
Santitissadeekorn, N., Spiller, E.T., Jones, C.K.R.T., Rutarindwa, R. Liu, L. Ide, K., (2014), "Observing System Simulation Experiments of Cross-Layer Lagrangian Data Assimilation", Dynamics of Atmospheres and Oceans, 66: pg: 77-93, . Cited by:
Dodds, P. S., Harris, K. D., Danforth, C. M. (2013), "Limited Imitation Contagion on Random Networks: Chaos, Universality, and Unpredictability", Phys. Rev. Lett., 110: pg: 158701, (DOI: 10.1103/PhysRevLett.110.158701). Cited by:
Cathles, L. M., Abbot, D. S., MacAyeal, D. R., (2014), "Intra-­surface radiative transfer limits the geographic extent of snow penitentes on horizontal snow fields", Journal of Glaciology, 60: pg: 147-­‐154, (DOI: 10.3189/2014JoG13J124). Cited by:
Bollt, Erik M, Santitissadeekorn, Naratip (2013), "Applied and Computational Measurable Dynamics", Mathematical Modeling and Computation, SIAM: 978-1-61197-263-4, (DOI: 10.1137/1.9781611972641). Cited by:
Berwald, Jesse, Gidea, Marian, (2014), "Critical transitions in a model of a genetic regulatory system", Mathematical Biology and Engineering, 11, 4: pg: 723– 740, (DOI: 10.3934/mbe.2014.11.723). Cited by:
Bellsky, T., Kostelich, E., Mahalov, A., (2014), "Kalman Filter data assimilation: targeted observations and parameter estimation", Chaos, 24, 2: pg: 024406, . Cited by:
Bellsky, T., Doelman, A., Kaper, T., Promislow, K., (2013), "Adiabatic stability under semi-­‐strong interactions: The weakly damped regime", Indiana University Mathematics Journal, 62, 6: pg: 1809-1859, . Cited by:
Bellsky, T., Berwald, J., Mitchell, L., (2014), "Non-­‐global parameter estimation using local ensemble Kalman Filtering", Monthly Weather Review, 142, 6: pg: 2150-2164, . Cited by:
Williams, T. D., Bennetts, L. G., Dumont, D., Squire, V. A., Bertino, L., (2013), "Wave-ice interactions in the marginal ice zone. Part 1: theoretical foundations", Ocean Model., 71: pg: 81--91, . Cited by:
Williams, T. D., Bennetts, L. G., Dumont, D., Squire, V. A., Bertino, L., (2013), "Wave-ice interactions in the marginal ice zone. Part 2: numerical implementation and sensitivity studies along 1D transects of the ocean surface", Ocean Model., 71: pg: 92--101, . Cited by:
Montiel, F., Bonnefoy, F., Ferrant, P., Bennetts, L. G., Squire, V. A., Marsault, P., (2013), "Hydroelastic response of floating elastic disks to regular waves. Part 1: Wave tank experiments", J. Fluid Mech., 723: pg: 604--628, . Cited by:
Montiel, F., Bennetts, L. G., Squire, V. A., Bonnefoy, F., Ferrant, P., (2013), "Hydroelastic response of floating elastic disks to regular waves. Part 2: Modal analysis", J. Fluid Mech., 723: pg: 629--652, . Cited by:
Bennetts, L. G., Peter, M. A., (2013), "Spectral analysis of wave propagation through rows of scatterers via random sampling and a coherent potential approximation", SIAM J. Appl. Math., 73, 4: pg: 1613---1633, . Cited by:
Squire, V. A., Williams, T. D., Bennetts, L. G., (2013), "Better operational forecasting for the contemporary Arctic via ocean wave integration", Int. J. Offshore Polar Eng., 22, 2: pg: 81---88, . Cited by:
Montiel, F., Squire, V. A., Bennetts, L. G., (2014), "Modelling the propagation of a directional wave spectrum in the marginal ice zone,", In proceedings of The 22nd International Association of Hydro-Environment Engineering and Research International Symposium on Ice, : . Cited by:
Balasuriya, S., Froyland, G., & Santitissadeekorn, N., (2014), "Absolute Flux optimising curves of Flows on a surface", Journal of Mathematical Analysis and Applications,, 409: pg: 119-­‐139, . Cited by:
Bagrow, J. P., Desu, S., Frank, M. R., Manukyan, N., Mitchell L., Reagan, A., Bloedorn, E. E., Booker, L. B., Branting, L.K., Smith, M.J., Tivnan, B.F., Danforth, C.M., Dodds, P.S., Bongard, J.C., (2013), "Shadow networks: Discovering hidden nodes with models of information flow", arXiv:1312.6122, : . Cited by:
Arnold, N. P., Branson, M., Burt, M. A., Abbot, D. S., Kuang, Z., Randall, D. A., & Tziperman, E., (2014), "Effects of explicit atmospheric convection at high CO2", Proc Natl Acad Sci, 111, 30: pg: 10943-8, (DOI: 10.1073/pnas.1407175111). Cited by:
Zeeman, Mary Lou, (2013), "Mathematics, Sustainability, and a Bridge to Decision Support, MPE 2013 Guest Editorial", The College Mathematics Journal, 44: pg: 346-349, . Cited by:
Abbot, D. S., Voigt A., Li, D., Le Hir, G., Pierrehumbert, R. T., Branson, M., Pollard, D., & Koll, D. D. B., (2013), "Robust elements of Snowball Earth atmospheric circulation and oases for life", Journal of Geophysical Research, 118: pg: 6017-­‐6027, (DOI: 10.1002/jgrd. 50540). Cited by:
Abbot, D.S., (2014), "Resolved Snowball Earth Clouds", Journal of Climate, 27: pg: 4391-­4402, (DOI: 10.1175/JCLI-­‐D-­‐13-­‐00738.1). Cited by:
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