Liu, Ge; Craigmile, Peter F.; Herbei, Radu A study of the data augmentation strategy for stochastic differential equations. (English) Zbl 07480155 J. Stat. Comput. Simulation 90, No. 10, 1753-1772 (2020). MSC: 62-XX PDFBibTeX XMLCite \textit{G. Liu} et al., J. Stat. Comput. Simulation 90, No. 10, 1753--1772 (2020; Zbl 07480155) Full Text: DOI
El Jarroudi, Mustapha A mathematical model for turbulent transport through thin randomly oscillating layers surrounding a fixed domain. (English) Zbl 1514.82180 Physica A 520, 178-195 (2019). MSC: 82C70 35B25 35K51 60H30 PDFBibTeX XMLCite \textit{M. El Jarroudi}, Physica A 520, 178--195 (2019; Zbl 1514.82180) Full Text: DOI
Majda, Andrew J.; Tong, Xin T. Simple nonlinear models with rigorous extreme events and heavy tails. (English) Zbl 1411.60078 Nonlinearity 32, No. 5, 1641-1674 (2019). MSC: 60G70 60H10 93C10 PDFBibTeX XMLCite \textit{A. J. Majda} and \textit{X. T. Tong}, Nonlinearity 32, No. 5, 1641--1674 (2019; Zbl 1411.60078) Full Text: DOI arXiv
Branicki, M.; Majda, A. J.; Law, K. J. H. Accuracy of some approximate Gaussian filters for the Navier-Stokes equation in the presence of model error. (English) Zbl 1408.93132 Multiscale Model. Simul. 16, No. 4, 1756-1794 (2018). MSC: 93E11 93E10 35Q30 93C20 76D05 93E25 PDFBibTeX XMLCite \textit{M. Branicki} et al., Multiscale Model. Simul. 16, No. 4, 1756--1794 (2018; Zbl 1408.93132) Full Text: DOI
Lee, Yoonsang; Majda, Andrew J.; Qi, Di Stochastic superparameterization and multiscale filtering of turbulent tracers. (English) Zbl 1361.93063 Multiscale Model. Simul. 15, No. 1, 215-234 (2017). MSC: 93E11 62M20 62L12 65C20 76F55 PDFBibTeX XMLCite \textit{Y. Lee} et al., Multiscale Model. Simul. 15, No. 1, 215--234 (2017; Zbl 1361.93063) Full Text: DOI
Majda, Andrew J.; Tong, Xin T. Intermittency in turbulent diffusion models with a mean gradient. (English) Zbl 1357.37089 Nonlinearity 28, No. 11, 4171-4208 (2015). MSC: 37N10 76F25 76E30 62G32 60J70 76F55 PDFBibTeX XMLCite \textit{A. J. Majda} and \textit{X. T. Tong}, Nonlinearity 28, No. 11, 4171--4208 (2015; Zbl 1357.37089) Full Text: DOI Link
Majda, Andrew J.; Gershgorin, Boris Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum and intermittency. (English) Zbl 1353.76034 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1982, Article ID 20120184, 36 p. (2013). MSC: 76F55 86A10 76-05 PDFBibTeX XMLCite \textit{A. J. Majda} and \textit{B. Gershgorin}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1982, Article ID 20120184, 36 p. (2013; Zbl 1353.76034) Full Text: DOI
Branicki, Michal; Chen, Nan; Majda, Andrew J. Non-Gaussian test models for prediction and state estimation with model errors. (English) Zbl 1316.60055 Chin. Ann. Math., Ser. B 34, No. 1, 29-64 (2013). MSC: 60G25 60H10 60H30 62M20 82C31 94A15 PDFBibTeX XMLCite \textit{M. Branicki} et al., Chin. Ann. Math., Ser. B 34, No. 1, 29--64 (2013; Zbl 1316.60055) Full Text: DOI
Majda, Andrew J. Challenges in climate science and contemporary applied mathematics. (English) Zbl 1242.86009 Commun. Pure Appl. Math. 65, No. 7, 920-948 (2012). MSC: 86A05 86-08 76F99 91B76 PDFBibTeX XMLCite \textit{A. J. Majda}, Commun. Pure Appl. Math. 65, No. 7, 920--948 (2012; Zbl 1242.86009) Full Text: DOI
Branicki, M.; Gershgorin, B.; Majda, A. J. Filtering skill for turbulent signals for a suite of nonlinear and linear extended Kalman filters. (English) Zbl 1242.65019 J. Comput. Phys. 231, No. 4, 1462-1498 (2012). MSC: 65C60 65K10 93E10 93E11 62F10 62M20 PDFBibTeX XMLCite \textit{M. Branicki} et al., J. Comput. Phys. 231, No. 4, 1462--1498 (2012; Zbl 1242.65019) Full Text: DOI Link
Majda, Andrew J.; Gershgorin, Boris Link between statistical equilibrium fidelity and forecasting skill for complex systems with model error. (English) Zbl 1256.86003 Proc. Natl. Acad. Sci. USA 108, No. 31, 12599-12604 (2011). MSC: 86A10 86A32 PDFBibTeX XMLCite \textit{A. J. Majda} and \textit{B. Gershgorin}, Proc. Natl. Acad. Sci. USA 108, No. 31, 12599--12604 (2011; Zbl 1256.86003) Full Text: DOI
Majda, Andrew J.; Gershgorin, Boris Improving model fidelity and sensitivity for complex systems through empirical information theory. (English) Zbl 1256.94026 Proc. Natl. Acad. Sci. USA 108, No. 25, 10044-10049 (2011). MSC: 94A15 62B10 62M30 PDFBibTeX XMLCite \textit{A. J. Majda} and \textit{B. Gershgorin}, Proc. Natl. Acad. Sci. USA 108, No. 25, 10044--10049 (2011; Zbl 1256.94026) Full Text: DOI