Numerical Study of the Mechanisms for Initiation of Reacting Shock Waves. - Andrew J. Majda; Victor Roytburd (SIAM J. Sci. Comput., 1990)

Vorticity, Turbulence, and Acoustics in Fluid Flow. - Andrew J. Majda (SIAM Rev., 1991)

Modulations in the Leading Edges of Midlatitude Storm Tracks. - Andrew J. Majda; D. W. McLaughlin; Roy H. Goodman (SIAM J. Appl. Math., 2002)

Stochastic Mode Reduction for the Immersed Boundary Method. - Andrew J. Majda; Peter R. Kramer (SIAM J. Appl. Math., 2004)

Stochastic Mode Reduction for Particle-Based Simulation Methods for Complex Microfluid Systems. - Andrew J. Majda; Peter R. Kramer (SIAM J. Appl. Math., 2004)

Quantifying Uncertainty for Non-Gaussian Ensembles in Complex Systems. - Rafail V. Abramov; Andrew J. Majda (SIAM J. Sci. Comput., 2004)

Mathematical test criteria for filtering complex systems: Plentiful observations. - Emilio Castronovo; John Harlim; Andrew J. Majda (J. Comput. Phys., 2008)

Mathematical strategies for filtering complex systems: Regularly spaced sparse observations. - John Harlim; Andrew J. Majda (J. Comput. Phys., 2008)

New Approximations and Tests of Linear Fluctuation-Response for Chaotic Nonlinear Forced-Dissipative Dynamical Systems. - Rafail V. Abramov; Andrew J. Majda (J. Nonlinear Sci., 2008)

Test models for improving filtering with model errors through stochastic parameter estimation. - Boris Gershgorin; John Harlim; Andrew J. Majda (J. Comput. Phys., 2010)

Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation. - Boris Gershgorin; John Harlim; Andrew J. Majda (J. Comput. Phys., 2010)

Time Series Reconstruction via Machine Learning: Revealing Decadal Variability and Intermittency in the North Pacific Sector of a Coupled Climate Model. - Dimitrios Giannakis; Andrew J. Majda (CIDU, 2011)

Filtering a statistically exactly solvable test model for turbulent tracers from partial observations. - Boris Gershgorin; Andrew J. Majda (J. Comput. Phys., 2011)

Hierarchical structure of the Madden-Julian oscillation in infrared brightness temperature revealed through nonlinear Laplacian spectral analysis. - Dimitrios Giannakis; Wen-wen Tung; Andrew J. Majda (CIDU, 2012)

Filtering skill for turbulent signals for a suite of nonlinear and linear extended Kalman filters. - Michal Branicki; Boris Gershgorin; Andrew J. Majda (J. Comput. Phys., 2012)

Dynamic Stochastic Superresolution of sparsely observed turbulent systems. - Michal Branicki; Andrew J. Majda (J. Comput. Phys., 2013)

Blending Modified Gaussian Closure and Non-Gaussian Reduced Subspace Methods for Turbulent Dynamical Systems. - Themistoklis P. Sapsis; Andrew J. Majda (J. Nonlinear Sci., 2013)

Test Models for Filtering with Superparameterization. - John Harlim; Andrew J. Majda (Multiscale Model. Simul., 2013)

Nonlinear Laplacian spectral analysis: capturing intermittent and low-frequency spatiotemporal patterns in high-dimensional data. - Dimitrios Giannakis; Andrew J. Majda (Stat. Anal. Data Min., 2013)

Ensemble Kalman filters for dynamical systems with unresolved turbulence. - Ian G. Grooms; Yoonsang Lee 002; Andrew J. Majda (J. Comput. Phys., 2014)

Stochastic superparameterization in quasigeostrophic turbulence. - Ian G. Grooms; Andrew J. Majda (J. Comput. Phys., 2014)

An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. - John Harlim; Adam Mahdi; Andrew J. Majda (J. Comput. Phys., 2014)

New perspectives on superparameterization for geophysical turbulence. - Andrew J. Majda; Ian G. Grooms (J. Comput. Phys., 2014)

An MCMC Algorithm for Parameter Estimation in Signals with Hidden Intermittent Instability. - Nan Chen 004; Dimitrios Giannakis; Radu Herbei; Andrew J. Majda (SIAM/ASA J. Uncertain. Quantification, 2014)

Calibration of the Stochastic Multicloud Model Using Bayesian Inference. - Michèle De La Chevrotière; Boualem Khouider; Andrew J. Majda (SIAM J. Sci. Comput., 2014)

An Information-Theoretic Framework for Improving Imperfect Dynamical Predictions Via Multi-Model Ensemble Forecasts. - Michal Branicki; Andrew J. Majda (J. Nonlinear Sci., 2015)

Noisy Lagrangian Tracers for Filtering Random Rotating Compressible Flows. - Nan Chen 004; Andrew J. Majda; Xin T. Tong (J. Nonlinear Sci., 2015)

Numerical Schemes for Stochastic Backscatter in the Inverse Cascade of Quasigeostrophic Turbulence. - Ian G. Grooms; Yoonsang Lee 002; Andrew J. Majda (Multiscale Model. Simul., 2015)

Multiscale Methods for Data Assimilation in Turbulent Systems. - Yoonsang Lee 002; Andrew J. Majda (Multiscale Model. Simul., 2015)

Nonlinear Laplacian spectral analysis of Rayleigh-Bénard convection. - Noah D. Brenowitz; Dimitrios Giannakis; Andrew J. Majda (J. Comput. Phys., 2016)

Improving Prediction Skill of Imperfect Turbulent Models Through Statistical Response and Information Theory. - Andrew J. Majda; Di Qi (J. Nonlinear Sci., 2016)

Ergodicity of Truncated Stochastic Navier Stokes with Deterministic Forcing and Dispersion. - Andrew J. Majda; Xin T. Tong (J. Nonlinear Sci., 2016)

Stochastic Superparameterization and Multiscale Filtering of Turbulent Tracers. - Yoonsang Lee 002; Andrew J. Majda; Di Qi (Multiscale Model. Simul., 2017)

Conditional Gaussian Systems for Multiscale Nonlinear Stochastic Systems: Prediction, State Estimation and Uncertainty Quantification. - Nan Chen 004; Andrew J. Majda (Entropy, 2018)

Model Error, Information Barriers, State Estimation and Prediction in Complex Multiscale Systems. - Andrew J. Majda; Nan Chen 004 (Entropy, 2018)

Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions. - Nan Chen 004; Andrew J. Majda (J. Comput. Phys., 2018)

Rigorous Statistical Bounds in Uncertainty Quantification for One-Layer Turbulent Geophysical Flows. - Di Qi; Andrew J. Majda (J. Nonlinear Sci., 2018)

Rigorous Analysis for Efficient Statistically Accurate Algorithms for Solving Fokker-Planck Equations in Large Dimensions. - Nan Chen 004; Andrew J. Majda; Xin T. Tong (SIAM/ASA J. Uncertain. Quantification, 2018)

Accuracy of Some Approximate Gaussian Filters for the Navier-Stokes Equation in the Presence of Model Error. - Michal Branicki; Andrew J. Majda; Kody J. H. Law (Multiscale Model. Simul., 2018)

Strategies for Reduced-Order Models for Predicting the Statistical Responses and Uncertainty Quantification in Complex Turbulent Dynamical Systems. - Andrew J. Majda; Di Qi (SIAM Rev., 2018)

A new efficient parameter estimation algorithm for high-dimensional complex nonlinear turbulent dynamical systems with partial observations. - Nan Chen 004; Andrew J. Majda (J. Comput. Phys., 2019)

Transient Metastability and Selective Decay for the Coherent Zonal Structures in Plasma Drift Wave Turbulence. - Di Qi; Andrew J. Majda (J. Nonlinear Sci., 2019)

Efficient nonlinear optimal smoothing and sampling algorithms for complex turbulent nonlinear dynamical systems with partial observations. - Nan Chen 004; Andrew J. Majda (J. Comput. Phys., 2020)

Anomalous Waves Triggered by Abrupt Depth Changes: Laboratory Experiments and Truncated KdV Statistical Mechanics. - M. Nicholas J. Moore; C. Tyler Bolles; Andrew J. Majda; Di Qi (J. Nonlinear Sci., 2020)