Chen, Nan; Majda, Andrew J. Efficient nonlinear optimal smoothing and sampling algorithms for complex turbulent nonlinear dynamical systems with partial observations. (English) Zbl 1436.37091 J. Comput. Phys. 410, Article ID 109381, 26 p. (2020). MSC: 37M10 62G32 PDFBibTeX XMLCite \textit{N. Chen} and \textit{A. J. Majda}, J. Comput. Phys. 410, Article ID 109381, 26 p. (2020; Zbl 1436.37091) Full Text: DOI
Chen, Nan; Majda, Andrew J. A new efficient parameter estimation algorithm for high-dimensional complex nonlinear turbulent dynamical systems with partial observations. (English) Zbl 1453.65008 J. Comput. Phys. 397, Article ID 108836, 22 p. (2019). MSC: 65C05 62F10 37H10 34F05 60H10 37M10 PDFBibTeX XMLCite \textit{N. Chen} and \textit{A. J. Majda}, J. Comput. Phys. 397, Article ID 108836, 22 p. (2019; Zbl 1453.65008) Full Text: DOI
Chen, Nan; Majda, Andrew J. Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions. (English) Zbl 1380.60055 J. Comput. Phys. 354, 242-268 (2018). MSC: 60H10 35Q84 34K50 34K23 PDFBibTeX XMLCite \textit{N. Chen} and \textit{A. J. Majda}, J. Comput. Phys. 354, 242--268 (2018; Zbl 1380.60055) Full Text: DOI arXiv
Brenowitz, N. D.; Giannakis, D.; Majda, A. J. Nonlinear Laplacian spectral analysis of Rayleigh-Bénard convection. (English) Zbl 1349.76796 J. Comput. Phys. 315, 536-553 (2016). MSC: 76R05 76D05 76F35 PDFBibTeX XMLCite \textit{N. D. Brenowitz} et al., J. Comput. Phys. 315, 536--553 (2016; Zbl 1349.76796) Full Text: DOI
Grooms, Ian; Lee, Yoonsang; Majda, Andrew J. Ensemble Kalman filters for dynamical systems with unresolved turbulence. (English) Zbl 1351.76031 J. Comput. Phys. 273, 435-452 (2014). MSC: 76F20 86-08 86A05 86A10 PDFBibTeX XMLCite \textit{I. Grooms} et al., J. Comput. Phys. 273, 435--452 (2014; Zbl 1351.76031) Full Text: DOI
Grooms, Ian; Majda, Andrew J. Stochastic superparameterization in quasigeostrophic turbulence. (English) Zbl 1349.76107 J. Comput. Phys. 271, 78-98 (2014). MSC: 76F55 86-08 86A05 86A10 PDFBibTeX XMLCite \textit{I. Grooms} and \textit{A. J. Majda}, J. Comput. Phys. 271, 78--98 (2014; Zbl 1349.76107) Full Text: DOI arXiv
Majda, Andrew J.; Grooms, Ian New perspectives on superparameterization for geophysical turbulence. (English) Zbl 1349.86035 J. Comput. Phys. 271, 60-77 (2014). MSC: 86A10 76F65 PDFBibTeX XMLCite \textit{A. J. Majda} and \textit{I. Grooms}, J. Comput. Phys. 271, 60--77 (2014; Zbl 1349.86035) Full Text: DOI
Harlim, John; Mahdi, Adam; Majda, Andrew J. An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. (English) Zbl 1349.62593 J. Comput. Phys. 257, Part A, 782-812 (2014). MSC: 62P35 62J02 62M20 93E10 PDFBibTeX XMLCite \textit{J. Harlim} et al., J. Comput. Phys. 257, Part A, 782--812 (2014; Zbl 1349.62593) Full Text: DOI
Branicki, M.; Majda, A. J. Dynamic Stochastic Superresolution of sparsely observed turbulent systems. (English) Zbl 1349.76761 J. Comput. Phys. 241, 333-363 (2013). MSC: 76M35 76M28 76Fxx 86-08 86A10 PDFBibTeX XMLCite \textit{M. Branicki} and \textit{A. J. Majda}, J. Comput. Phys. 241, 333--363 (2013; Zbl 1349.76761) Full Text: DOI Link
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
Gershgorin, B.; Majda, A. J. Filtering a statistically exactly solvable test model for turbulent tracers from partial observations. (English) Zbl 1391.76179 J. Comput. Phys. 230, No. 4, 1602-1638 (2011). MSC: 76F55 PDFBibTeX XMLCite \textit{B. Gershgorin} and \textit{A. J. Majda}, J. Comput. Phys. 230, No. 4, 1602--1638 (2011; Zbl 1391.76179) Full Text: DOI
Gershgorin, B.; Harlim, J.; Majda, A. J. Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation. (English) Zbl 1178.93134 J. Comput. Phys. 229, No. 1, 32-57 (2010). MSC: 93E10 93E11 93E12 76F70 PDFBibTeX XMLCite \textit{B. Gershgorin} et al., J. Comput. Phys. 229, No. 1, 32--57 (2010; Zbl 1178.93134) Full Text: DOI
Gershgorin, B.; Harlim, J.; Majda, A. J. Test models for improving filtering with model errors through stochastic parameter estimation. (English) Zbl 1178.93133 J. Comput. Phys. 229, No. 1, 1-31 (2010). MSC: 93E10 93E11 76F70 PDFBibTeX XMLCite \textit{B. Gershgorin} et al., J. Comput. Phys. 229, No. 1, 1--31 (2010; Zbl 1178.93133) Full Text: DOI
Harlim, J.; Majda, A. J. Mathematical strategies for filtering complex systems: Regularly spaced sparse observations. (English) Zbl 1388.76204 J. Comput. Phys. 227, No. 10, 5304-5341 (2008). MSC: 76M20 93E11 PDFBibTeX XMLCite \textit{J. Harlim} and \textit{A. J. Majda}, J. Comput. Phys. 227, No. 10, 5304--5341 (2008; Zbl 1388.76204) Full Text: DOI
Castronovo, E.; Harlim, J.; Majda, A. J. Mathematical test criteria for filtering complex systems: Plentiful observations. (English) Zbl 1132.93347 J. Comput. Phys. 227, No. 7, 3678-3714 (2008). MSC: 93E11 PDFBibTeX XMLCite \textit{E. Castronovo} et al., J. Comput. Phys. 227, No. 7, 3678--3714 (2008; Zbl 1132.93347) Full Text: DOI
Haven, Kyle; Majda, Andrew; Abramov, Rafail Quantifying predictability through information theory: small sample estimation in a non-Gaussian framework. (English) Zbl 1088.62502 J. Comput. Phys. 206, No. 1, 334-362 (2005). MSC: 62B10 62P12 86A10 37N10 PDFBibTeX XMLCite \textit{K. Haven} et al., J. Comput. Phys. 206, No. 1, 334--362 (2005; Zbl 1088.62502) Full Text: DOI
Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G. Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems. (English) Zbl 1034.82053 J. Comput. Phys. 186, No. 1, 250-278 (2003). MSC: 82C80 65C05 65C35 60K35 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., J. Comput. Phys. 186, No. 1, 250--278 (2003; Zbl 1034.82053) Full Text: DOI
Elliott, Frank W. jun.; Horntrop, David J.; Majda, Andrew J. A Fourier-wavelet Monte Carlo method for fractal random fields. (English) Zbl 0876.65096 J. Comput. Phys. 132, No. 2, 384-408 (1997). Reviewer: N.Curteanu (Iaşi) MSC: 65C99 65C05 60H05 60G10 PDFBibTeX XMLCite \textit{F. W. Elliott jun.} et al., J. Comput. Phys. 132, No. 2, 384--408 (1997; Zbl 0876.65096) Full Text: DOI
Elliott, Frank W. jun.; Majda, Andrew J. A new algorithm with plane waves and wavelets for random velocity fields with many spatial scales. (English) Zbl 0821.65097 J. Comput. Phys. 117, No. 1, 146-162 (1995). Reviewer: I.Dimov (Sofia) MSC: 65C99 60G60 65C05 PDFBibTeX XMLCite \textit{F. W. Elliott jun.} and \textit{A. J. Majda}, J. Comput. Phys. 117, No. 1, 146--162 (1995; Zbl 0821.65097) Full Text: DOI
Elliott, Frank W. jun.; Majda, Andrew J. A wavelet Monte Carlo method for turbulent diffusion with many spatial scales. (English) Zbl 0853.76058 J. Comput. Phys. 113, No. 1, 82-111 (1994). MSC: 76M25 76F99 PDFBibTeX XMLCite \textit{F. W. Elliott jun.} and \textit{A. J. Majda}, J. Comput. Phys. 113, No. 1, 82--111 (1994; Zbl 0853.76058) Full Text: DOI
Beale, J. T.; Majda, A. High order accurate vortex methods with explicit velocity kernels. (English) Zbl 0588.76037 J. Comput. Phys. 58, 188-208 (1985). MSC: 76B47 76M99 35C10 PDFBibTeX XMLCite \textit{J. T. Beale} and \textit{A. Majda}, J. Comput. Phys. 58, 188--208 (1985; Zbl 0588.76037) Full Text: DOI
Goodman, Jonathan; Majda, Andrew The validity of the modified equation for nonlinear shock waves. (English) Zbl 0581.76072 J. Comput. Phys. 58, 336-348 (1985). MSC: 76L05 PDFBibTeX XMLCite \textit{J. Goodman} and \textit{A. Majda}, J. Comput. Phys. 58, 336--348 (1985; Zbl 0581.76072) Full Text: DOI
Engquist, Bjorn; Majda, Andrew Numerical radiation boundary conditions for unsteady transonic flow. (English) Zbl 0467.76056 J. Comput. Phys. 40, 91-103 (1981). MSC: 76H05 65Z05 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{A. Majda}, J. Comput. Phys. 40, 91--103 (1981; Zbl 0467.76056) Full Text: DOI