Edit Profile (opens in new tab) Majda, Andrew J. Compute Distance To: Compute Author ID: majda.andrew-j Published as: Majda, Andrew J.; Majda, Andrew; Majda, A. J.; Majda, A.; Madja, Andrew J. more...less Homepage: http://www.math.nyu.edu/faculty/majda/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 320 Publications since 1974, including 10 Books 8 Contributions as Editor Biographic References: 1 Publication Co-Authors: 110 Co-Authors with 294 Joint Publications 3,162 Co-Co-Authors all top 5 Co-Authors 34 single-authored 19 Qi, Di 14 Chen, Nan 13 Harlim, John 13 Khouider, Boualem 13 Tong, Xin Thomson 12 Gershgorin, Boris 11 Rosales, Rodolfo Ruben 10 Branicki, Michał 10 Grote, Marcus J. 9 Abramov, Rafail V. 8 Avellaneda, Marco 8 Bourlioux, Anne 8 Katsoulakis, Markos A. 8 Timofeyev, Ilya 7 Klein, Rupert 7 Osher, Stanley Joel 7 Stechmann, Samuel N. 7 Tabak, Esteban G. 7 Wang, Xiaoming 6 Constantin, Peter 6 Elliott, Frank W. jun. 6 Grooms, Ian G. 6 Lee, Yoonsang 6 Roytburd, Victor 6 Souganidis, Panagiotis E. 5 Artola, Miguel 5 Beale, J. Thomas 5 Biello, Joseph A. 5 Embid, Pedro F. 5 Engquist, Bjorn E. 5 Giannakis, Dimitrios 5 Ralston, James V. 5 Sapsis, Themistoklis P. 5 Sopasakis, Alexandros 5 Vanden-Eijnden, Eric 4 Cai, David 4 DiBattista, Mark T. 4 DiPerna, Ronald J. 4 Horntrop, David J. 4 Lax, Peter David 4 McLaughlin, David W. 4 McLaughlin, Richard M. 3 Almgren, Robert F. 3 Dutrifoy, Alexandre 3 Franzke, Christian L. E. 3 Haven, Kyle 3 Klainerman, Sergiu 3 Kramer, Peter Roland 3 Sarnak, Peter Clive 3 Shefter, Michael G. 3 Thual, Sulian 3 Xing, Yulong 3 Zheng, Yuxi 2 Chen, Shengqian 2 Crandall, Michael G. 2 Crommelin, Daan T. 2 Goodman, Jonathan B. 2 Horenko, Illia 2 Hunter, John K. 2 Kleeman, Richard 2 Majda, George 2 Mohammadian, Majid 2 Smith, Leslie M. 2 Taylor, Michael Eugene 2 Vlachos, Dionisios G. 2 Yuan, Yuan 1 Bertozzi, Andrea Louise 1 Bolles, C. Tyler 1 Brenowitz, N. D. 1 Bühler, Oliver 1 Castronovo, Emilio 1 Choi, Yung-Sze 1 Chorin, Alexandre Joel 1 Colella, Phillip 1 Damodaran, Kumaran 1 De La Chevrotière, Michèle 1 de Wiljes, Jana 1 Deng, Qiang 1 Fefferman, Charles Louis 1 Fischer, Alexander 1 Foiaș, Ciprian 1 Frierson, Dargan M. W. 1 Glimm, James G. 1 Grotta-Ragazzo, C. 1 Hairer, Martin 1 Herbei, Radu 1 Hernández-Dueñas, Gerardo 1 Holen, Margaret 1 Kang, Emily L. 1 Kato, Tosio 1 Kovačič, Gregor 1 Kukavica, Igor 1 Lamb, Kevin G. 1 Law, Kody J. H. 1 Lions, Pierre-Louis 1 Luskin, Mitchell 1 Mahdi, Adam 1 McDonough, James M. 1 Mohamad, Mustafa A. 1 Moore, Nicholas J. ...and 10 more Co-Authors all top 5 Serials 37 Proceedings of the National Academy of Sciences of the United States of America 30 Communications on Pure and Applied Mathematics 23 Journal of Computational Physics 20 Communications in Mathematical Sciences 19 Physica D 15 Nonlinearity 11 Journal of Nonlinear Science 10 SIAM Journal on Applied Mathematics 9 Studies in Applied Mathematics 8 Physics of Fluids 7 Communications in Mathematical Physics 7 Journal of Statistical Physics 6 Physics of Fluids, A 6 Communications in Partial Differential Equations 6 Multiscale Modeling & Simulation 5 Journal of Fluid Mechanics 5 Theoretical and Computational Fluid Dynamics 4 Mathematics of Computation 4 Chinese Annals of Mathematics. Series B 4 Methods and Applications of Analysis 4 Chaos 3 Duke Mathematical Journal 3 Indiana University Mathematics Journal 3 SIAM Journal on Scientific and Statistical Computing 3 SIAM Review 3 Mathematics of Climate and Weather Forecasting 2 Geophysical and Astrophysical Fluid Dynamics 2 Journal of Differential Equations 2 Memoirs of the American Mathematical Society 2 Numerische Mathematik 2 Philosophical Transactions of the Royal Society of London. Series A 2 SIAM Journal on Scientific Computing 2 Discrete and Continuous Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Combustion Theory and Modelling 2 Oberwolfach Reports 2 The IMA Volumes in Mathematics and its Applications 2 SIAM/ASA Journal on Uncertainty Quantification 2 Research in the Mathematical Sciences 2 Springer Collected Works in Mathematics 1 Journal of Mathematical Physics 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences. University of Tokyo 1 Matemática Contemporânea 1 Discrete and Continuous Dynamical Systems. Series B 1 Stochastics and Dynamics 1 Milan Journal of Mathematics 1 Applied Mathematical Sciences 1 CRM Monograph Series 1 Mathematical Sciences Research Institute Publications 1 Courant Lecture Notes in Mathematics 1 Statistical Analysis and Data Mining 1 Frontiers in Applied Dynamical Systems: Reviews and Tutorials 1 SpringerBriefs in Mathematics of Planet Earth 1 Cambridge Texts in Applied Mathematics all top 5 Fields 205 Fluid mechanics (76-XX) 107 Partial differential equations (35-XX) 95 Geophysics (86-XX) 56 Probability theory and stochastic processes (60-XX) 51 Numerical analysis (65-XX) 47 Statistics (62-XX) 36 Systems theory; control (93-XX) 33 Statistical mechanics, structure of matter (82-XX) 31 Dynamical systems and ergodic theory (37-XX) 20 Classical thermodynamics, heat transfer (80-XX) 13 Information and communication theory, circuits (94-XX) 12 Ordinary differential equations (34-XX) 5 General and overarching topics; collections (00-XX) 4 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 306 Publications have been cited 9,700 times in 6,067 Documents Cited by ▼ Year ▼ Vorticity and incompressible flow. Zbl 0983.76001Majda, Andrew J.; Bertozzi, Andrea L. 716 2002 Compressible fluid flow and systems of conservation laws in several space variables. Zbl 0537.76001Majda, A. 643 1984 Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029Beale, J. T.; Kato, T.; Majda, A. 618 1984 Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051Engquist, Bjorn; Majda, Andrew 497 1977 Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068Klainerman, Sergiu; Majda, Andrew 423 1981 Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057Constantin, Peter; Majda, Andrew J.; Tabak, Esteban 316 1994 Introduction to PDEs and waves for the atmosphere and ocean. Zbl 1278.76004Majda, Andrew 304 2003 Compressible and incompressible fluids. Zbl 0478.76091Klainerman, Sergiu; Majda, Andrew 221 1982 Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070Engquist, Bjorn; Majda, Andrew 218 1979 Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059DiPerna, Ronald J.; Majda, Andrew J. 196 1987 Monotone difference approximations for scalar conservation laws. Zbl 0423.65052Crandall, Michael G.; Majda, Andrew 133 1980 Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730Diperna, Ronald J.; Majda, Andrew J. 115 1987 A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029Constantin, P.; Lax, P. D.; Majda, A. 115 1985 Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001Majda, Andrew J.; Wang, Xiaoming 114 2006 Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091Constantin, Peter; Fefferman, Charles; Majda, Andrew J. 105 1996 The stability of multi-dimensional shock fronts. Zbl 0506.76075Majda, Andrew 103 1983 A mathematical framework for stochastic climate models. Zbl 1017.86001Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric 96 2001 Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary. Zbl 0314.35061Majda, Andrew; Osher, Stanley 92 1975 Formation of singularities for wave equations including the nonlinear vibrating string. Zbl 0443.35040Klainerman, Sergiu; Majda, Andrew 86 1980 Absorbing boundary conditions for numerical simulation of waves. Zbl 0378.76018Engquist, Björn; Majda, Andrew 85 1977 The existence of multi-dimensional shock fronts. Zbl 0517.76068Majda, Andrew 78 1983 A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G. 77 1997 Vorticity and the mathematical theory of incompressible fluid flow. Zbl 0595.76021Majda, Andrew 75 1986 Filtering complex turbulent systems. Zbl 1250.93002Majda, Andrew J.; Harlim, John 69 2012 Theoretical and numerical structure for unstable one-dimensional detonations. Zbl 0731.76076Bourlioux, Anne; Majda, Andrew J.; Roytburd, Victor 67 1991 High order accurate vortex methods with explicit velocity kernels. Zbl 0588.76037Beale, J. T.; Majda, A. 66 1985 Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093Majda, Andrew J.; Souganidis, Panagiotis E. 66 1994 Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066Majda, Andrew; Rosales, Rodolfo 63 1984 Theoretical and numerical structure for reacting shock waves. Zbl 0633.76060Colella, Phillip; Majda, Andrew; Roytburd, Victor 62 1986 Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity. Zbl 0849.35106Embid, Pedro F.; Majda, Andrew J. 61 1996 A qualitative model for dynamic combustion. Zbl 0472.76075Majda, Andrew 58 1981 A simple framework to justify linear response theory. Zbl 1186.82006Hairer, Martin; Majda, Andrew J. 58 2010 Stable viscosity matrices for systems of conservation laws. Zbl 0512.76067Majda, Andrew; Pego, Robert L. 57 1985 Mathematical models with exact renormalization for turbulent transport. Zbl 0703.76042Avellaneda, Marco; Majda, Andrew J. 56 1990 Remarks on weak solutions for vortex sheets with a distinguished sign. Zbl 0791.76015Majda, Andrew J. 53 1993 Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems. Zbl 1134.37365Abramov, Rafail V.; Majda, Andrew J. 53 2007 Models for stochastic climate prediction. Zbl 0966.86003Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric 49 1999 The method of fractional steps for conservation laws. Zbl 0438.65076Crandall, Michael; Majda, Andrew 48 1980 Information theory and stochastics for multiscale nonlinear systems. Zbl 1082.60002Majda, Andrew J.; Abramov, Rafail V.; Grote, Marcus J. 48 2005 A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow. Zbl 0899.76105Majda, Andrew J.; Tabak, Esteban G. 47 1996 Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026DiPerna, Ronald J.; Majda, Andrew 47 1988 Multiple steady states for 1-D transonic flow. Zbl 0573.76055Embid, Pedro; Goodman, Jonathan; Majda, Andrew 46 1984 The Fourier method for nonsmooth initial data. Zbl 0393.65039Majda, Andrew; McDonough, James; Osher, Stanley 45 1978 Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit. Zbl 1160.86303Frierson, Dargan M. W.; Majda, Andrew J.; Pauluis, Olivier M. 44 2004 Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084Hunter, J. K.; Majda, A.; Rosales, R. 43 1986 Rates of convergence for viscous splitting of the Navier-Stokes equations. Zbl 0518.76027Beale, J. Thomas; Majda, Andrew 43 1981 High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering. Zbl 0463.35048Majda, Andrew 41 1976 Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G. 38 1994 Multi-dimensional shock fronts for second order wave equations. Zbl 0632.35047Majda, Andrew; Thomann, Enrique 37 1987 An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows. Zbl 0731.76082Avellaneda, Marco; Majda, Andrew J. 37 1991 Simplified equations for the interaction of nearly parallel vortex filaments. Zbl 0846.76015Klein, Rupert; Majda, Andrew J.; Damodaran, Kumaran 36 1995 New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364Abramov, Rafail V.; Majda, Andrew J. 35 2008 Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Zbl 1256.62053Giannakis, Dimitrios; Majda, Andrew J. 34 2012 Physics constrained nonlinear regression models for time series. Zbl 1262.93024Majda, Andrew J.; Harlim, John 34 2013 Remarkable statistical behavior for truncated Burgers-Hopf dynamics. Zbl 0969.35117Majda, Andrew J.; Timofeyev, Ilya 33 2000 Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060Tong, Xin T.; Majda, Andrew J.; Kelly, David 32 2016 The Beltrami spectrum for incompressible fluid flows. Zbl 0669.76049Constantin, Peter; Majda, Andrew 32 1988 A theory for spontaneous Mach stem formation in reacting shock fronts. I. The basic perturbation analysis. Zbl 0544.76135Majda, Andrew; Rosales, Rodolfo 32 1983 Dispersive wave turbulence in one dimension. Zbl 1049.76035Cai, David; Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G. 31 2001 An applied mathematics perspective on stochastic modelling for climate. Zbl 1153.86315Majda, Andrew J.; Franzke, Christian; Khouider, Boualem 31 2008 Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems. Zbl 1292.62133Sapsis, Themistoklis P.; Majda, Andrew J. 29 2013 Normal forms for reduced stochastic climate models. Zbl 1202.86011Majda, Andrew J.; Franzke, Christian; Crommelin, Daan 29 2009 Lessons in uncertainty quantification for turbulent dynamical systems. Zbl 1264.94076Majda, Andrew J.; Branicki, Michal 29 2012 Vorticity, turbulence, and acoustics in fluid flow. Zbl 0850.76278Majda, Andrew J. 28 1991 One perspective on open problems in multi-dimensional conservation laws. Zbl 0769.35038Majda, Andrew J. 27 1991 Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes. Zbl 0632.76074Artola, Miguel; Majda, Andrew J. 27 1987 Averaging over fast gravity waves for geophysical flow with unbalanced initial data. Zbl 0923.76339Majda, Andrew J.; Embid, Pedro 27 1998 Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case. Zbl 0813.35091Majda, Andrew J.; Majda, George; Zheng, Yuxi 26 1994 The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081Di Perna, Ronald J.; Majda, Andrew 26 1985 An introduction to turbulent dynamical systems in complex systems. Zbl 1377.37003Majda, Andrew J. 26 2016 The representation formula for the scattering operator and the inverse problem for arbitrary bodies. Zbl 0335.35076Majda, Andrew 26 1977 Test models for improving filtering with model errors through stochastic parameter estimation. Zbl 1178.93133Gershgorin, B.; Harlim, J.; Majda, A. J. 26 2010 Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data. Zbl 0809.35088Zheng, Yuxi; Majda, Andrew 25 1994 The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions. Zbl 0781.76047Majda, Andrew J. 25 1993 Reflection of singularities at the boundary. Zbl 0307.35077Majda, Andrew J.; Osher, Stanley 24 1975 Disappearing solutions for the dissipative wave equation. Zbl 0329.35038Majda, Andrew 24 1975 Mathematical strategies for filtering turbulent dynamical systems. Zbl 1191.93135Majda, Andrew J.; Harlim, John; Gershgorin, Boris 23 2010 Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect. Zbl 0754.76046Avellaneda, Marco; Majda, Andrew 23 1992 An analogue of Weyl’s theorem for unbounded domains. I. Zbl 0408.35069Majda, Andrew; Ralston, James 23 1978 High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability. Zbl 1205.86025Majda, Andrew J.; Abramov, Rafail; Gershgorin, Boris 22 2010 Self-stretching of a perturbed vortex filament. I: The asymptotic equation for deviations from a straight line. Zbl 0738.35063Klein, Rupert; Majda, Andrew J. 22 1991 A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Zbl 0669.76103Majda, Andrew; Rosales, Rodolfo; Schonbek, Maria 22 1988 Weakly nonlinear detonation waves. Zbl 0572.76062Rosales, Rodolfo R.; Majda, Andrew 22 1983 Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation. Zbl 1178.93134Gershgorin, B.; Harlim, J.; Majda, A. J. 22 2010 A priori tests of a stochastic mode reduction strategy. Zbl 1007.60064Majda, A.; Timofeyev, I.; Vanden-Eijnden, E. 22 2002 Coarse-grained stochastic processes for microscopic lattice systems. Zbl 1063.82033Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G. 22 2003 A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems. Zbl 1278.70018Sapsis, Themistoklis P.; Majda, Andrew J. 22 2013 Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009Tong, Xin T.; Majda, Andrew J.; Kelly, David 21 2016 Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems. Zbl 1034.82053Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G. 21 2003 Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems. Zbl 0373.35055Majda, Andrew; Taylor, Michael 21 1977 Improving model fidelity and sensitivity for complex systems through empirical information theory. Zbl 1256.94026Majda, Andrew J.; Gershgorin, Boris 21 2011 An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. Zbl 1349.62593Harlim, John; Mahdi, Adam; Majda, Andrew J. 21 2014 Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E. 20 1995 Model dynamics and vertical collapse in decaying strongly stratified flows. Zbl 1185.76764Majda, Andrew J.; Grote, Marcus J. 20 1997 Equilibrium statistical theory for nearly parallel vortex filaments. Zbl 1041.76038Lions, Pierre-Louis; Majda, Andrew 20 2000 Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109Majda, Andrew; Wang, Xiaoming 19 2010 Efficient stochastic superparameterization for geophysical turbulence. Zbl 1292.76038Grooms, Ian; Majda, Andrew J. 19 2013 Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency. Zbl 1259.86004Branicki, Michal; Majda, Andrew J. 18 2012 Catastrophic filter divergence in filtering nonlinear dissipative systems. Zbl 1190.93096Harlim, John; Majda, Andrew J. 18 2010 Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations. Zbl 0358.35010Majda, Andrew; Osher, Stanley 18 1977 Using machine learning to predict extreme events in complex systems. Zbl 1456.68176Qi, Di; Majda, Andrew J. 4 2020 Statistical phase transitions and extreme events in shallow water waves with an abrupt depth change. Zbl 1446.35136Majda, Andrew J.; Qi, Di 3 2020 Anomalous waves triggered by abrupt depth changes: laboratory experiments and truncated KdV statistical mechanics. Zbl 1467.35292Moore, Nicholas J.; Bolles, C. Tyler; Majda, Andrew J.; Qi, Di 2 2020 Predicting observed and hidden extreme events in complex nonlinear dynamical systems with partial observations and short training time series. Zbl 1435.37100Chen, Nan; Majda, Andrew J. 1 2020 Efficient nonlinear optimal smoothing and sampling algorithms for complex turbulent nonlinear dynamical systems with partial observations. Zbl 1436.37091Chen, Nan; Majda, Andrew J. 1 2020 Statistical dynamical model to predict extreme events and anomalous features in shallow water waves with abrupt depth change. Zbl 1416.76024Majda, Andrew J.; Moore, M. N. J.; Qi, Di 13 2019 Linear and nonlinear statistical response theories with prototype applications to sensitivity analysis and statistical control of complex turbulent dynamical systems. Zbl 1433.62337Majda, Andrew J.; Qi, Di 4 2019 Spatial localization for nonlinear dynamical stochastic models for excitable media. Zbl 1480.65026Chen, Nan; Majda, Andrew J.; Tong, Xin T. 4 2019 Transient metastability and selective decay for the coherent zonal structures in plasma drift wave turbulence. Zbl 1428.35395Qi, Di; Majda, Andrew J. 2 2019 Zonal jet creation from secondary instability of drift waves for plasma edge turbulence. Zbl 1428.76071Qi, Di; Majda, Andrew J. 1 2019 A new efficient parameter estimation algorithm for high-dimensional complex nonlinear turbulent dynamical systems with partial observations. Zbl 1453.65008Chen, Nan; Majda, Andrew J. 1 2019 Simple nonlinear models with rigorous extreme events and heavy tails. Zbl 1411.60078Majda, Andrew J.; Tong, Xin T. 1 2019 Tropical intraseasonal variability and the stochastic skeleton method. Zbl 1448.86003Majda, Andrew J.; Stechmann, Samuel N.; Chen, Shengqian; Ogrosky, H. Reed; Thual, Sulian 1 2019 Strategies for reduced-order models for predicting the statistical responses and uncertainty quantification in complex turbulent dynamical systems. Zbl 1393.76041Majda, Andrew J.; Qi, Di 17 2018 Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions. Zbl 1380.60055Chen, Nan; Majda, Andrew J. 11 2018 Performance of ensemble Kalman filters in large dimensions. Zbl 1390.93799Majda, Andrew J.; Tong, Xin T. 9 2018 Predicting extreme events for passive scalar turbulence in two-layer baroclinic flows through reduced-order stochastic models. Zbl 1395.76029Qi, Di; Majda, Andrew J. 6 2018 Rigorous analysis for efficient statistically accurate algorithms for solving Fokker-Planck equations in large dimensions. Zbl 1410.35244Chen, Nan; Majda, Andrew J.; Tong, Xin T. 6 2018 Accuracy of some approximate Gaussian filters for the Navier-Stokes equation in the presence of model error. Zbl 1408.93132Branicki, M.; Majda, A. J.; Law, K. J. H. 6 2018 Rigorous statistical bounds in uncertainty quantification for one-layer turbulent geophysical flows. Zbl 1403.76021Qi, Di; Majda, Andrew J. 2 2018 Beating the curse of dimension with accurate statistics for the Fokker-Planck equation in complex turbulent systems. Zbl 1404.35444Chen, Nan; Majda, Andrew J. 11 2017 Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography. Zbl 1378.86007Qi, Di; Majda, Andrew J. 7 2017 Stochastic superparameterization and multiscale filtering of turbulent tracers. Zbl 1361.93063Lee, Yoonsang; Majda, Andrew J.; Qi, Di 3 2017 Effective control of complex turbulent dynamical systems through statistical functionals. Zbl 1404.76115Majda, Andrew J.; Qi, Di 2 2017 Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060Tong, Xin T.; Majda, Andrew J.; Kelly, David 32 2016 An introduction to turbulent dynamical systems in complex systems. Zbl 1377.37003Majda, Andrew J. 26 2016 Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009Tong, Xin T.; Majda, Andrew J.; Kelly, David 21 2016 Predicting fat-tailed intermittent probability distributions in passive scalar turbulence with imperfect models through empirical information theory. Zbl 1349.76101Qi, Di; Majda, Andrew J. 15 2016 Ergodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersion. Zbl 1349.76099Majda, Andrew J.; Tong, Xin T. 10 2016 Improving prediction skill of imperfect turbulent models through statistical response and information theory. Zbl 1331.76096Majda, Andrew J.; Qi, Di 9 2016 Simple stochastic model for El Niño with westerly wind bursts. Zbl 1355.86005Thual, Sulian; Majda, Andrew J.; Chen, Nan; Stechmann, Samuel N. 7 2016 Geometric ergodicity for piecewise contracting processes with applications for tropical stochastic lattice models. Zbl 1346.86005Majda, Andrew J.; Tong, Xin T. 6 2016 Moment bounds and geometric ergodicity of diffusions with random switching and unbounded transition rates. Zbl 1386.60277Tong, Xin T.; Majda, Andrew J. 4 2016 State estimation and prediction using clustered particle filters. Zbl 1407.62341Lee, Yoonsang; Majda, Andrew J. 2 2016 Nonlinear Laplacian spectral analysis of Rayleigh-Bénard convection. Zbl 1349.76796Brenowitz, N. D.; Giannakis, D.; Majda, A. J. 2 2016 Noisy Lagrangian tracers for filtering random rotating compressible flows. Zbl 1329.76128Chen, Nan; Majda, Andrew J.; Tong, Xin T. 12 2015 Intermittency in turbulent diffusion models with a mean gradient. Zbl 1357.37089Majda, Andrew J.; Tong, Xin T. 10 2015 Multiscale methods for data assimilation in turbulent systems. Zbl 1317.93250Lee, Yoonsang; Majda, Andrew J. 9 2015 Predicting the cloud patterns for the boreal summer intraseasonal oscillation through a low-order stochastic model. Zbl 1364.86015Chen, Nan; Majda, Andrew J. 9 2015 An information-theoretic framework for improving imperfect dynamical predictions via multi-model ensemble forecasts. Zbl 1342.94056Branicki, Michal; Majda, Andrew J. 8 2015 Numerical schemes for stochastic backscatter in the inverse cascade of quasigeostrophic turbulence. Zbl 1328.76047Grooms, Ian; Lee, Yoonsang; Majda, Andrew J. 6 2015 Multiscale asymptotics for the skeleton of the Madden-Julian oscillation and tropical-extratropical interactions. Zbl 1364.86016Chen, Shengqian; Majda, Andrew J.; Stechmann, Samuel N. 4 2015 Blended particle methods with adaptive subspaces for filtering turbulent dynamical systems. Zbl 1364.62234Qi, Di; Majda, Andrew J. 3 2015 A suite of skeleton models for the MJO with refined vertical structure. Zbl 1364.86019Thual, Sulian; Majda, Andrew J. 1 2015 An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. Zbl 1349.62593Harlim, John; Mahdi, Adam; Majda, Andrew J. 21 2014 New perspectives on superparameterization for geophysical turbulence. Zbl 1349.86035Majda, Andrew J.; Grooms, Ian 18 2014 Blended particle filters for large-dimensional chaotic dynamical systems. Zbl 1359.62392Majda, Andrew J.; Qi, Di; Sapsis, Themistoklis P. 16 2014 Information barriers for noisy Lagrangian tracers in filtering random incompressible flows. Zbl 1320.60102Chen, Nan; Majda, Andrew J.; Tong, Xin T. 16 2014 Stochastic superparameterization in quasigeostrophic turbulence. Zbl 1349.76107Grooms, Ian; Majda, Andrew J. 13 2014 Conceptual dynamical models for turbulence. Zbl 1355.76025Majda, Andrew J.; Lee, Yoonsang 11 2014 Stochastic superparameterization in a one-dimensional model for wave turbulence. Zbl 1431.76060Grooms, Ian G.; Majda, Andrew J. 10 2014 Quantifying Bayesian filter performance for turbulent dynamical systems through information theory. Zbl 1302.93212Branicki, M.; Majda, A. J. 9 2014 Ensemble Kalman filters for dynamical systems with unresolved turbulence. Zbl 1351.76031Grooms, Ian; Lee, Yoonsang; Majda, Andrew J. 7 2014 An MCMC algorithm for parameter estimation in signals with hidden intermittent instability. Zbl 1350.60071Chen, Nan; Giannakis, Dimitrios; Herbei, Radu; Majda, Andrew J. 7 2014 Non-Gaussian test models for prediction and state estimation with model errors. Zbl 1334.60058Branicki, Michal; Chen, Nan; Majda, Andrew J. 2 2014 Calibration of the stochastic multicloud model using Bayesian inference. Zbl 1298.86003De La Chevrotière, Michèle; Khouider, Boualem; Majda, Andrew J. 1 2014 Physics constrained nonlinear regression models for time series. Zbl 1262.93024Majda, Andrew J.; Harlim, John 34 2013 Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems. Zbl 1292.62133Sapsis, Themistoklis P.; Majda, Andrew J. 29 2013 A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems. Zbl 1278.70018Sapsis, Themistoklis P.; Majda, Andrew J. 22 2013 Efficient stochastic superparameterization for geophysical turbulence. Zbl 1292.76038Grooms, Ian; Majda, Andrew J. 19 2013 Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities. Zbl 1281.60054Branicki, Michal; Majda, Andrew J. 17 2013 Blending modified Gaussian closure and non-Gaussian reduced subspace methods for turbulent dynamical systems. Zbl 1287.34045Sapsis, Themistoklis P.; Majda, Andrew J. 16 2013 Blended reduced subspace algorithms for uncertainty quantification of quadratic systems with a stable mean state. Zbl 1284.93216Sapsis, Themistoklis P.; Majda, Andrew J. 14 2013 Dynamic Stochastic Superresolution of sparsely observed turbulent systems. Zbl 1349.76761Branicki, M.; Majda, A. J. 13 2013 Climate science in the tropics: waves, vortices and PDEs. Zbl 1322.86002Khouider, Boualem; Majda, Andrew J.; Stechmann, Samuel N. 12 2013 Non-Gaussian test models for prediction and state estimation with model errors. Zbl 1316.60055Branicki, Michal; Chen, Nan; Majda, Andrew J. 9 2013 Minimal models for precipitating turbulent convection. Zbl 1284.76199Hernandez-Duenas, Gerardo; Majda, Andrew J.; Smith, Leslie M.; Stechmann, Samuel N. 9 2013 Test models for filtering with superparameterization. Zbl 1266.93150Harlim, John; Majda, Andrew J. 7 2013 Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum and intermittency. Zbl 1353.76034Majda, Andrew J.; Gershgorin, Boris 6 2013 An adaptive Markov chain Monte Carlo approach to time series clustering of processes with regime transition behavior. Zbl 06297626de Wiljes, Jana; Majda, Andrew; Horenko, Illia 4 2013 Regression models with memory for the linear response of turbulent dynamical systems. Zbl 1336.37064Kang, Emily L.; Harlim, John; Majda, Andrew J. 3 2013 Nonlinear Laplacian spectral analysis: capturing intermittent and low-frequency spatiotemporal patterns in high-dimensional data. Zbl 07260360Giannakis, Dimitrios; Majda, Andrew J. 2 2013 Filtering complex turbulent systems. Zbl 1250.93002Majda, Andrew J.; Harlim, John 69 2012 Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Zbl 1256.62053Giannakis, Dimitrios; Majda, Andrew J. 34 2012 Lessons in uncertainty quantification for turbulent dynamical systems. Zbl 1264.94076Majda, Andrew J.; Branicki, Michal 29 2012 Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency. Zbl 1259.86004Branicki, Michal; Majda, Andrew J. 18 2012 Challenges in climate science and contemporary applied mathematics. Zbl 1242.86009Majda, Andrew J. 17 2012 Fundamental limitations of ad hoc linear and quadratic multi-level regression models for physical systems. Zbl 1263.62100Majda, Andrew J.; Yuan, Yuan 13 2012 Filtering skill for turbulent signals for a suite of nonlinear and linear extended Kalman filters. Zbl 1242.65019Branicki, M.; Gershgorin, B.; Majda, A. J. 10 2012 Information theory, model error, and predictive skill of stochastic models for complex nonlinear systems. Zbl 1260.62067Giannakis, Dimitrios; Majda, Andrew J.; Horenko, Illia 4 2012 Tropical cyclogenesis and vertical shear in a moist Boussinesq model. Zbl 1275.76213Deng, Qiang; Smith, Leslie; Majda, Andrew 3 2012 Improving model fidelity and sensitivity for complex systems through empirical information theory. Zbl 1256.94026Majda, Andrew J.; Gershgorin, Boris 21 2011 Link between statistical equilibrium fidelity and forecasting skill for complex systems with model error. Zbl 1256.86003Majda, Andrew J.; Gershgorin, Boris 13 2011 Filtering a statistically exactly solvable test model for turbulent tracers from partial observations. Zbl 1391.76179Gershgorin, B.; Majda, A. J. 12 2011 Invariant measures and asymptotic Gaussian bounds for normal forms of stochastic climate model. Zbl 1304.86003Yuan, Yuan; Majda, Andrew J. 2 2011 A simple framework to justify linear response theory. Zbl 1186.82006Hairer, Martin; Majda, Andrew J. 58 2010 Test models for improving filtering with model errors through stochastic parameter estimation. Zbl 1178.93133Gershgorin, B.; Harlim, J.; Majda, A. J. 26 2010 Mathematical strategies for filtering turbulent dynamical systems. Zbl 1191.93135Majda, Andrew J.; Harlim, John; Gershgorin, Boris 23 2010 High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability. Zbl 1205.86025Majda, Andrew J.; Abramov, Rafail; Gershgorin, Boris 22 2010 Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation. Zbl 1178.93134Gershgorin, B.; Harlim, J.; Majda, A. J. 22 2010 Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109Majda, Andrew; Wang, Xiaoming 19 2010 Catastrophic filter divergence in filtering nonlinear dissipative systems. Zbl 1190.93096Harlim, John; Majda, Andrew J. 18 2010 A stochastic multicloud model for tropical convection. Zbl 1190.86003Khouider, Boualem; Biello, Joseph; Majda, Andrew J. 13 2010 A test model for fluctuation-dissipation theorems with time-periodic statistics. Zbl 1200.37078Gershgorin, Boris; Majda, Andrew J. 9 2010 Filtering a nonlinear slow-fast system with strong fast forcing. Zbl 1202.62128Gershgorin, Boris; Majda, Andrew 8 2010 Existence and uniqueness of weak solutions for precipitation fronts: a novel hyperbolic free boundary problem in several space variables. Zbl 1204.35068Majda, Andrew J.; Souganidis, Panagiotis E. 8 2010 New multi-scale models on mesoscales and squall lines. Zbl 1278.86006Majda, Andrew J.; Xing, Yulong 5 2010 Moist multi-scale models for the hurricane embryo. Zbl 1197.76134Majda, Andrew J.; Xing, Yulong; Mohammadian, Majid 5 2010 Hybrid deterministic stochastic systems with microscopic look-ahead dynamics. Zbl 1197.35336Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A. 2 2010 Intraseasonal multi-scale moist dynamics of the tropical atmosphere. Zbl 1194.86013Biello, Joseph A.; Majda, Andrew J. 1 2010 ...and 206 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,011 Authors 161 Majda, Andrew J. 63 Wu, Jiahong 57 Chae, Dongho 51 Wang, Shu 40 Constantin, Peter 40 Titi, Edriss Saleh 39 Zumbrun, Kevin R. 35 Chen, Gui-Qiang G. 35 Feireisl, Eduard 35 Xin, Zhouping 30 Givoli, Dan 26 Cordoba, Diego 26 Yamazaki, Kazuo 26 Zhang, Zhifei 24 Antoine, Xavier 24 Peng, Yuejun 23 Hou, Thomas Yizhao 23 Métivier, Guy 23 Rauch, Jeffrey B. 23 Schochet, Steven H. 22 Vicol, Vlad C. 21 Harlim, John 21 Li, Fucai 21 Liu, Jianguo 21 Yang, Jianwei 21 Yao, Zhengan 20 Chen, Shuxing 20 Dong, Boqing 20 Jiu, Quansen 20 Klein, Rupert 20 Lopes Filho, Milton da Costa 20 Masmoudi, Nader 20 Nussenzveig Lopes, Helena Judith 20 Sapsis, Themistoklis P. 20 Shu, Chi-Wang 19 Flandoli, Franco 19 Jiang, Song 19 Ju, Qiangchang 19 Katsoulakis, Markos A. 19 Stuart, Andrew M. 19 Trakhinin, Yuri L. 18 Kiselev, Alexander A. 18 Rodrigo, José Luis 18 Stechmann, Samuel N. 17 Hmidi, Taoufik 17 Novotný, Antonín 17 Smith, Leslie M. 17 Souganidis, Panagiotis E. 17 Xu, Jiang 17 Xu, Xiaojing 17 Yong, Wen-An 16 Engquist, Bjorn E. 16 Gala, Sadek 16 Hunter, John K. 16 Li, Dong 16 McLaughlin, Richard M. 15 Cao, Chongsheng 15 Elgindi, Tarek Mohamed 15 Feng, Yuehong 15 Guès, Olivier 15 Guo, Boling 15 Hagstrom, Thomas M. 15 Lucarini, Valerio 15 Ou, Yaobin 15 Qi, Di 15 Tong, Xin Thomson 15 Wang, Xiaoming 15 Yuan, Baoquan 14 Beirão da Veiga, Hugo 14 Chen, Nan 14 Coulombel, Jean-François 14 Gibbon, John D. 14 Liu, Qiao 14 Petkov, Vesselin M. 14 Pu, Xueke 14 Williams, Mark 14 Ye, Zhuan 14 Yin, Huicheng 14 Zhang, Ping 13 Abramov, Rafail V. 13 Gancedo, Francisco 13 Grote, Marcus J. 13 Han, Houde 13 Li, Jinkai 13 Li, Yeping 13 Rosales, Rodolfo Ruben 13 Speck, Jared 13 Tadmor, Eitan 13 Xin, Jack X. 13 Xue, Liutang 13 Zheng, Yuxi 12 Bauer, Martin 12 Brenier, Yann 12 Brunton, Steven L. 12 Danchin, Raphaël 12 Fan, Jishan 12 Giannakis, Dimitrios 12 Guddati, Murthy N. 12 Jin, Shi 12 Kawashima, Shuichi ...and 5,911 more Authors all top 5 Cited in 457 Serials 409 Journal of Computational Physics 332 Journal of Differential Equations 222 Archive for Rational Mechanics and Analysis 177 Communications in Mathematical Physics 169 Physica D 163 Journal of Mathematical Analysis and Applications 157 Journal of Fluid Mechanics 134 Communications in Partial Differential Equations 122 Computer Methods in Applied Mechanics and Engineering 102 Physics of Fluids 93 Nonlinear Analysis. 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(English Edition) 12 Mathematics of Climate and Weather Forecasting 11 Inverse Problems 11 Zeitschrift für Analysis und ihre Anwendungen 11 Applications of Mathematics 11 Applied Mathematical Modelling 11 International Journal of Computational Fluid Dynamics 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 Living Reviews in Relativity ...and 357 more Serials all top 5 Cited in 51 Fields 4,105 Partial differential equations (35-XX) 3,405 Fluid mechanics (76-XX) 1,165 Numerical analysis (65-XX) 480 Geophysics (86-XX) 371 Probability theory and stochastic processes (60-XX) 316 Dynamical systems and ergodic theory (37-XX) 295 Statistical mechanics, structure of matter (82-XX) 264 Mechanics of deformable solids (74-XX) 206 Classical thermodynamics, heat transfer (80-XX) 201 Optics, electromagnetic theory (78-XX) 161 Statistics (62-XX) 120 Calculus of variations and optimal control; optimization (49-XX) 107 Ordinary differential equations (34-XX) 107 Systems theory; control (93-XX) 99 Biology and other natural sciences (92-XX) 93 Global analysis, analysis on manifolds (58-XX) 79 Operator theory (47-XX) 76 Quantum theory (81-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 69 Real functions (26-XX) 66 Mechanics of particles and systems (70-XX) 56 Relativity and gravitational theory (83-XX) 49 Functional analysis (46-XX) 47 Computer science (68-XX) 39 Differential geometry (53-XX) 33 Astronomy and astrophysics (85-XX) 32 Information and communication theory, circuits (94-XX) 30 Integral equations (45-XX) 26 Measure and integration (28-XX) 26 Operations research, mathematical programming (90-XX) 23 Integral transforms, operational calculus (44-XX) 19 Approximations and expansions (41-XX) 14 Special functions (33-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Functions of a complex variable (30-XX) 9 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Difference and functional equations (39-XX) 6 Potential theory (31-XX) 5 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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