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Author ID: majda.andrew-j Recent zbMATH articles by "Majda, Andrew J."
Published as: Majda, Andrew J.; Majda, Andrew; Majda, A. J.; Majda, A.; Madja, Andrew J.
Homepage: http://www.math.nyu.edu/faculty/majda/
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 319 Publications since 1974, including 10 Books
8 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 109 Co-Authors with 291 Joint Publications
2,850 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 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 Smith, Leslie M.
2 Taylor, Michael Eugene
2 Vlachos, Dionisios G.
2 Xing, Yulong
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 Foiaş, Ciprian Ilie
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 Mohammadian, Majid
1 Moore, Nicholas J.
1 Ogrosky, H. Reed
...and 9 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 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 Geophysical and Astrophysical Fluid Dynamics
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

Publications by Year

Citations contained in zbMATH Open

306 Publications have been cited 9,234 times in 5,791 Documents Cited by Year
Vorticity and incompressible flow. Zbl 0983.76001
Majda, Andrew J.; Bertozzi, Andrea L.
663
2002
Compressible fluid flow and systems of conservation laws in several space variables. Zbl 0537.76001
Majda, A.
615
1984
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
588
1984
Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051
Engquist, Bjorn; Majda, Andrew
483
1977
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
399
1981
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban
299
1994
Introduction to PDEs and waves for the atmosphere and ocean. Zbl 1278.76004
Majda, Andrew
274
2003
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
211
1979
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
209
1982
Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059
DiPerna, Ronald J.; Majda, Andrew J.
187
1987
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
131
1980
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
111
1985
Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
108
1987
Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001
Majda, Andrew J.; Wang, Xiaoming
108
2006
Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
100
1996
The stability of multi-dimensional shock fronts. Zbl 0506.76075
Majda, Andrew
99
1983
Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary. Zbl 0314.35061
Majda, Andrew; Osher, Stanley
88
1975
A mathematical framework for stochastic climate models. Zbl 1017.86001
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
86
2001
Formation of singularities for wave equations including the nonlinear vibrating string. Zbl 0443.35040
Klainerman, Sergiu; Majda, Andrew
84
1980
Absorbing boundary conditions for numerical simulation of waves. Zbl 0378.76018
Engquist, Björn; Majda, Andrew
79
1977
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035
Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
74
1997
The existence of multi-dimensional shock fronts. Zbl 0517.76068
Majda, Andrew
74
1983
Vorticity and the mathematical theory of incompressible fluid flow. Zbl 0595.76021
Majda, Andrew
70
1986
Theoretical and numerical structure for unstable one-dimensional detonations. Zbl 0731.76076
Bourlioux, Anne; Majda, Andrew J.; Roytburd, Victor
66
1991
High order accurate vortex methods with explicit velocity kernels. Zbl 0588.76037
Beale, J. T.; Majda, A.
64
1985
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
63
1994
Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066
Majda, Andrew; Rosales, Rodolfo
63
1984
Theoretical and numerical structure for reacting shock waves. Zbl 0633.76060
Colella, Phillip; Majda, Andrew; Roytburd, Victor
62
1986
Filtering complex turbulent systems. Zbl 1250.93002
Majda, Andrew J.; Harlim, John
62
2012
Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity. Zbl 0849.35106
Embid, Pedro F.; Majda, Andrew J.
59
1996
A qualitative model for dynamic combustion. Zbl 0472.76075
Majda, Andrew
58
1981
Stable viscosity matrices for systems of conservation laws. Zbl 0512.76067
Majda, Andrew; Pego, Robert L.
56
1985
Mathematical models with exact renormalization for turbulent transport. Zbl 0703.76042
Avellaneda, Marco; Majda, Andrew J.
55
1990
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
54
2010
Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems. Zbl 1134.37365
Abramov, Rafail V.; Majda, Andrew J.
53
2007
Remarks on weak solutions for vortex sheets with a distinguished sign. Zbl 0791.76015
Majda, Andrew J.
51
1993
The method of fractional steps for conservation laws. Zbl 0438.65076
Crandall, Michael; Majda, Andrew
47
1980
Information theory and stochastics for multiscale nonlinear systems. Zbl 1082.60002
Majda, Andrew J.; Abramov, Rafail V.; Grote, Marcus J.
46
2005
The Fourier method for nonsmooth initial data. Zbl 0393.65039
Majda, Andrew; McDonough, James; Osher, Stanley
45
1978
A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow. Zbl 0899.76105
Majda, Andrew J.; Tabak, Esteban G.
44
1996
Multiple steady states for 1-D transonic flow. Zbl 0573.76055
Embid, Pedro; Goodman, Jonathan; Majda, Andrew
44
1984
Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084
Hunter, J. K.; Majda, A.; Rosales, R.
43
1986
Rates of convergence for viscous splitting of the Navier-Stokes equations. Zbl 0518.76027
Beale, J. Thomas; Majda, Andrew
43
1981
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
43
1988
Models for stochastic climate prediction. Zbl 0966.86003
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
42
1999
Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit. Zbl 1160.86303
Frierson, Dargan M. W.; Majda, Andrew J.; Pauluis, Olivier M.
41
2004
High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering. Zbl 0463.35048
Majda, Andrew
40
1976
Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G.
37
1994
Multi-dimensional shock fronts for second order wave equations. Zbl 0632.35047
Majda, Andrew; Thomann, Enrique
36
1987
New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364
Abramov, Rafail V.; Majda, Andrew J.
35
2008
An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows. Zbl 0731.76082
Avellaneda, Marco; Majda, Andrew J.
34
1991
Simplified equations for the interaction of nearly parallel vortex filaments. Zbl 0846.76015
Klein, Rupert; Majda, Andrew J.; Damodaran, Kumaran
33
1995
A theory for spontaneous Mach stem formation in reacting shock fronts. I. The basic perturbation analysis. Zbl 0544.76135
Majda, Andrew; Rosales, Rodolfo
31
1983
Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Zbl 1256.62053
Giannakis, Dimitrios; Majda, Andrew J.
31
2012
Dispersive wave turbulence in one dimension. Zbl 1049.76035
Cai, David; Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
30
2001
Remarkable statistical behavior for truncated Burgers-Hopf dynamics. Zbl 0969.35117
Majda, Andrew J.; Timofeyev, Ilya
30
2000
Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060
Tong, Xin T.; Majda, Andrew J.; Kelly, David
29
2016
Lessons in uncertainty quantification for turbulent dynamical systems. Zbl 1264.94076
Majda, Andrew J.; Branicki, Michal
29
2012
Vorticity, turbulence, and acoustics in fluid flow. Zbl 0850.76278
Majda, Andrew J.
28
1991
The Beltrami spectrum for incompressible fluid flows. Zbl 0669.76049
Constantin, Peter; Majda, Andrew
28
1988
Physics constrained nonlinear regression models for time series. Zbl 1262.93024
Majda, Andrew J.; Harlim, John
28
2013
An applied mathematics perspective on stochastic modelling for climate. Zbl 1153.86315
Majda, Andrew J.; Franzke, Christian; Khouider, Boualem
28
2008
One perspective on open problems in multi-dimensional conservation laws. Zbl 0769.35038
Majda, Andrew J.
27
1991
Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes. Zbl 0632.76074
Artola, Miguel; Majda, Andrew J.
27
1987
Averaging over fast gravity waves for geophysical flow with unbalanced initial data. Zbl 0923.76339
Majda, Andrew J.; Embid, Pedro
27
1998
Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems. Zbl 1292.62133
Sapsis, Themistoklis P.; Majda, Andrew J.
27
2013
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
26
1985
The representation formula for the scattering operator and the inverse problem for arbitrary bodies. Zbl 0335.35076
Majda, Andrew
26
1977
Normal forms for reduced stochastic climate models. Zbl 1202.86011
Majda, Andrew J.; Franzke, Christian; Crommelin, Daan
26
2009
Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case. Zbl 0813.35091
Majda, Andrew J.; Majda, George; Zheng, Yuxi
25
1994
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 0809.35088
Zheng, Yuxi; Majda, Andrew
25
1994
An introduction to turbulent dynamical systems in complex systems. Zbl 1377.37003
Majda, Andrew J.
25
2016
The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions. Zbl 0781.76047
Majda, Andrew J.
25
1993
Reflection of singularities at the boundary. Zbl 0307.35077
Majda, Andrew J.; Osher, Stanley
23
1975
Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect. Zbl 0754.76046
Avellaneda, Marco; Majda, Andrew
23
1992
Disappearing solutions for the dissipative wave equation. Zbl 0329.35038
Majda, Andrew
23
1975
Mathematical strategies for filtering turbulent dynamical systems. Zbl 1191.93135
Majda, Andrew J.; Harlim, John; Gershgorin, Boris
23
2010
Test models for improving filtering with model errors through stochastic parameter estimation. Zbl 1178.93133
Gershgorin, B.; Harlim, J.; Majda, A. J.
23
2010
Self-stretching of a perturbed vortex filament. I: The asymptotic equation for deviations from a straight line. Zbl 0738.35063
Klein, Rupert; Majda, Andrew J.
22
1991
High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability. Zbl 1205.86025
Majda, Andrew J.; Abramov, Rafail; Gershgorin, Boris
22
2010
A priori tests of a stochastic mode reduction strategy. Zbl 1007.60064
Majda, A.; Timofeyev, I.; Vanden-Eijnden, E.
22
2002
A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Zbl 0669.76103
Majda, Andrew; Rosales, Rodolfo; Schonbek, Maria
22
1988
Weakly nonlinear detonation waves. Zbl 0572.76062
Rosales, Rodolfo R.; Majda, Andrew
22
1983
Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation. Zbl 1178.93134
Gershgorin, B.; Harlim, J.; Majda, A. J.
22
2010
Coarse-grained stochastic processes for microscopic lattice systems. Zbl 1063.82033
Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G.
21
2003
Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems. Zbl 0373.35055
Majda, Andrew; Taylor, Michael
21
1977
An analogue of Weyl’s theorem for unbounded domains. I. Zbl 0408.35069
Majda, Andrew; Ralston, James
21
1978
A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems. Zbl 1278.70018
Sapsis, Themistoklis P.; Majda, Andrew J.
21
2013
Improving model fidelity and sensitivity for complex systems through empirical information theory. Zbl 1256.94026
Majda, Andrew J.; Gershgorin, Boris
21
2011
Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems. Zbl 1034.82053
Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G.
20
2003
An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. Zbl 1349.62593
Harlim, John; Mahdi, Adam; Majda, Andrew J.
19
2014
Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109
Majda, Andrew; Wang, Xiaoming
19
2010
Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504
Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E.
19
1995
Equilibrium statistical theory for nearly parallel vortex filaments. Zbl 1041.76038
Lions, Pierre-Louis; Majda, Andrew
18
2000
Model dynamics and vertical collapse in decaying strongly stratified flows. Zbl 1185.76764
Majda, Andrew J.; Grote, Marcus J.
18
1997
Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency. Zbl 1259.86004
Branicki, Michal; Majda, Andrew J.
18
2012
Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009
Tong, Xin T.; Majda, Andrew J.; Kelly, David
17
2016
Explicit inertial range renormalization theory in a model for turbulent diffusion. Zbl 1102.82328
Majda, Andrew J.
17
1993
Statistical equilibrium predictions of jets and spots on Jupiter. Zbl 0998.85002
Turkington, Bruce; Majda, Andrew; Haven, Kyle; DiBattista, Mark
17
2001
New perspectives on superparameterization for geophysical turbulence. Zbl 1349.86035
Majda, Andrew J.; Grooms, Ian
17
2014
Statistical phase transitions and extreme events in shallow water waves with an abrupt depth change. Zbl 1446.35136
Majda, Andrew J.; Qi, Di
2
2020
Using machine learning to predict extreme events in complex systems. Zbl 1456.68176
Qi, Di; Majda, Andrew J.
2
2020
Anomalous waves triggered by abrupt depth changes: laboratory experiments and truncated KdV statistical mechanics. Zbl 1467.35292
Moore, Nicholas J.; Bolles, C. Tyler; Majda, Andrew J.; Qi, Di
1
2020
Predicting observed and hidden extreme events in complex nonlinear dynamical systems with partial observations and short training time series. Zbl 1435.37100
Chen, Nan; Majda, Andrew J.
1
2020
Efficient nonlinear optimal smoothing and sampling algorithms for complex turbulent nonlinear dynamical systems with partial observations. Zbl 1436.37091
Chen, 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 1416.76024
Majda, Andrew J.; Moore, M. N. J.; Qi, Di
11
2019
Linear and nonlinear statistical response theories with prototype applications to sensitivity analysis and statistical control of complex turbulent dynamical systems. Zbl 1433.62337
Majda, Andrew J.; Qi, Di
4
2019
Spatial localization for nonlinear dynamical stochastic models for excitable media. Zbl 1480.65026
Chen, 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 1428.35395
Qi, Di; Majda, Andrew J.
2
2019
A new efficient parameter estimation algorithm for high-dimensional complex nonlinear turbulent dynamical systems with partial observations. Zbl 1453.65008
Chen, Nan; Majda, Andrew J.
1
2019
Tropical intraseasonal variability and the stochastic skeleton method. Zbl 1448.86003
Majda, Andrew J.; Stechmann, Samuel N.; Chen, Shengqian; Ogrosky, H. Reed; Thual, Sulian
1
2019
Simple nonlinear models with rigorous extreme events and heavy tails. Zbl 1411.60078
Majda, Andrew J.; Tong, Xin T.
1
2019
Zonal jet creation from secondary instability of drift waves for plasma edge turbulence. Zbl 1428.76071
Qi, Di; Majda, Andrew J.
1
2019
Strategies for reduced-order models for predicting the statistical responses and uncertainty quantification in complex turbulent dynamical systems. Zbl 1393.76041
Majda, Andrew J.; Qi, Di
16
2018
Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions. Zbl 1380.60055
Chen, Nan; Majda, Andrew J.
9
2018
Performance of ensemble Kalman filters in large dimensions. Zbl 1390.93799
Majda, Andrew J.; Tong, Xin T.
8
2018
Rigorous analysis for efficient statistically accurate algorithms for solving Fokker-Planck equations in large dimensions. Zbl 1410.35244
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
6
2018
Predicting extreme events for passive scalar turbulence in two-layer baroclinic flows through reduced-order stochastic models. Zbl 1395.76029
Qi, Di; Majda, Andrew J.
6
2018
Accuracy of some approximate Gaussian filters for the Navier-Stokes equation in the presence of model error. Zbl 1408.93132
Branicki, M.; Majda, A. J.; Law, K. J. H.
5
2018
Rigorous statistical bounds in uncertainty quantification for one-layer turbulent geophysical flows. Zbl 1403.76021
Qi, Di; Majda, Andrew J.
2
2018
Beating the curse of dimension with accurate statistics for the Fokker-Planck equation in complex turbulent systems. Zbl 1404.35444
Chen, Nan; Majda, Andrew J.
11
2017
Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography. Zbl 1378.86007
Qi, Di; Majda, Andrew J.
6
2017
Stochastic superparameterization and multiscale filtering of turbulent tracers. Zbl 1361.93063
Lee, Yoonsang; Majda, Andrew J.; Qi, Di
3
2017
Effective control of complex turbulent dynamical systems through statistical functionals. Zbl 1404.76115
Majda, Andrew J.; Qi, Di
2
2017
Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060
Tong, Xin T.; Majda, Andrew J.; Kelly, David
29
2016
An introduction to turbulent dynamical systems in complex systems. Zbl 1377.37003
Majda, Andrew J.
25
2016
Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009
Tong, Xin T.; Majda, Andrew J.; Kelly, David
17
2016
Predicting fat-tailed intermittent probability distributions in passive scalar turbulence with imperfect models through empirical information theory. Zbl 1349.76101
Qi, Di; Majda, Andrew J.
15
2016
Ergodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersion. Zbl 1349.76099
Majda, Andrew J.; Tong, Xin T.
10
2016
Improving prediction skill of imperfect turbulent models through statistical response and information theory. Zbl 1331.76096
Majda, Andrew J.; Qi, Di
9
2016
Simple stochastic model for El Niño with westerly wind bursts. Zbl 1355.86005
Thual, Sulian; Majda, Andrew J.; Chen, Nan; Stechmann, Samuel N.
6
2016
Geometric ergodicity for piecewise contracting processes with applications for tropical stochastic lattice models. Zbl 1346.86005
Majda, Andrew J.; Tong, Xin T.
5
2016
Nonlinear Laplacian spectral analysis of Rayleigh-Bénard convection. Zbl 1349.76796
Brenowitz, N. D.; Giannakis, D.; Majda, A. J.
2
2016
State estimation and prediction using clustered particle filters. Zbl 1407.62341
Lee, Yoonsang; Majda, Andrew J.
2
2016
Moment bounds and geometric ergodicity of diffusions with random switching and unbounded transition rates. Zbl 1386.60277
Tong, Xin T.; Majda, Andrew J.
1
2016
Noisy Lagrangian tracers for filtering random rotating compressible flows. Zbl 1329.76128
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
12
2015
Intermittency in turbulent diffusion models with a mean gradient. Zbl 1357.37089
Majda, Andrew J.; Tong, Xin T.
10
2015
Multiscale methods for data assimilation in turbulent systems. Zbl 1317.93250
Lee, Yoonsang; Majda, Andrew J.
9
2015
Predicting the cloud patterns for the boreal summer intraseasonal oscillation through a low-order stochastic model. Zbl 1364.86015
Chen, Nan; Majda, Andrew J.
8
2015
An information-theoretic framework for improving imperfect dynamical predictions via multi-model ensemble forecasts. Zbl 1342.94056
Branicki, Michal; Majda, Andrew J.
7
2015
Numerical schemes for stochastic backscatter in the inverse cascade of quasigeostrophic turbulence. Zbl 1328.76047
Grooms, Ian; Lee, Yoonsang; Majda, Andrew J.
6
2015
Multiscale asymptotics for the skeleton of the Madden-Julian oscillation and tropical-extratropical interactions. Zbl 1364.86016
Chen, Shengqian; Majda, Andrew J.; Stechmann, Samuel N.
3
2015
Blended particle methods with adaptive subspaces for filtering turbulent dynamical systems. Zbl 1364.62234
Qi, Di; Majda, Andrew J.
3
2015
A suite of skeleton models for the MJO with refined vertical structure. Zbl 1364.86019
Thual, Sulian; Majda, Andrew J.
1
2015
An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. Zbl 1349.62593
Harlim, John; Mahdi, Adam; Majda, Andrew J.
19
2014
New perspectives on superparameterization for geophysical turbulence. Zbl 1349.86035
Majda, Andrew J.; Grooms, Ian
17
2014
Blended particle filters for large-dimensional chaotic dynamical systems. Zbl 1359.62392
Majda, Andrew J.; Qi, Di; Sapsis, Themistoklis P.
16
2014
Information barriers for noisy Lagrangian tracers in filtering random incompressible flows. Zbl 1320.60102
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
16
2014
Stochastic superparameterization in quasigeostrophic turbulence. Zbl 1349.76107
Grooms, Ian; Majda, Andrew J.
12
2014
Conceptual dynamical models for turbulence. Zbl 1355.76025
Majda, Andrew J.; Lee, Yoonsang
11
2014
Stochastic superparameterization in a one-dimensional model for wave turbulence. Zbl 1431.76060
Grooms, Ian G.; Majda, Andrew J.
9
2014
Quantifying Bayesian filter performance for turbulent dynamical systems through information theory. Zbl 1302.93212
Branicki, M.; Majda, A. J.
8
2014
Ensemble Kalman filters for dynamical systems with unresolved turbulence. Zbl 1351.76031
Grooms, Ian; Lee, Yoonsang; Majda, Andrew J.
7
2014
An MCMC algorithm for parameter estimation in signals with hidden intermittent instability. Zbl 1350.60071
Chen, Nan; Giannakis, Dimitrios; Herbei, Radu; Majda, Andrew J.
6
2014
Non-Gaussian test models for prediction and state estimation with model errors. Zbl 1334.60058
Branicki, Michal; Chen, Nan; Majda, Andrew J.
2
2014
Calibration of the stochastic multicloud model using Bayesian inference. Zbl 1298.86003
De La Chevrotière, Michèle; Khouider, Boualem; Majda, Andrew J.
1
2014
Physics constrained nonlinear regression models for time series. Zbl 1262.93024
Majda, Andrew J.; Harlim, John
28
2013
Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems. Zbl 1292.62133
Sapsis, Themistoklis P.; Majda, Andrew J.
27
2013
A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems. Zbl 1278.70018
Sapsis, Themistoklis P.; Majda, Andrew J.
21
2013
Efficient stochastic superparameterization for geophysical turbulence. Zbl 1292.76038
Grooms, Ian; Majda, Andrew J.
17
2013
Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities. Zbl 1281.60054
Branicki, Michal; Majda, Andrew J.
16
2013
Blending modified Gaussian closure and non-Gaussian reduced subspace methods for turbulent dynamical systems. Zbl 1287.34045
Sapsis, Themistoklis P.; Majda, Andrew J.
14
2013
Dynamic Stochastic Superresolution of sparsely observed turbulent systems. Zbl 1349.76761
Branicki, M.; Majda, A. J.
13
2013
Blended reduced subspace algorithms for uncertainty quantification of quadratic systems with a stable mean state. Zbl 1284.93216
Sapsis, Themistoklis P.; Majda, Andrew J.
13
2013
Climate science in the tropics: waves, vortices and PDEs. Zbl 1322.86002
Khouider, Boualem; Majda, Andrew J.; Stechmann, Samuel N.
11
2013
Non-Gaussian test models for prediction and state estimation with model errors. Zbl 1316.60055
Branicki, Michal; Chen, Nan; Majda, Andrew J.
8
2013
Minimal models for precipitating turbulent convection. Zbl 1284.76199
Hernandez-Duenas, Gerardo; Majda, Andrew J.; Smith, Leslie M.; Stechmann, Samuel N.
7
2013
Test models for filtering with superparameterization. Zbl 1266.93150
Harlim, John; Majda, Andrew J.
7
2013
Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum and intermittency. Zbl 1353.76034
Majda, Andrew J.; Gershgorin, Boris
6
2013
An adaptive Markov chain Monte Carlo approach to time series clustering of processes with regime transition behavior. Zbl 06297626
de Wiljes, Jana; Majda, Andrew; Horenko, Illia
3
2013
Regression models with memory for the linear response of turbulent dynamical systems. Zbl 1336.37064
Kang, 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 07260360
Giannakis, Dimitrios; Majda, Andrew J.
2
2013
Filtering complex turbulent systems. Zbl 1250.93002
Majda, Andrew J.; Harlim, John
62
2012
Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Zbl 1256.62053
Giannakis, Dimitrios; Majda, Andrew J.
31
2012
Lessons in uncertainty quantification for turbulent dynamical systems. Zbl 1264.94076
Majda, Andrew J.; Branicki, Michal
29
2012
Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency. Zbl 1259.86004
Branicki, Michal; Majda, Andrew J.
18
2012
Challenges in climate science and contemporary applied mathematics. Zbl 1242.86009
Majda, Andrew J.
16
2012
Fundamental limitations of ad hoc linear and quadratic multi-level regression models for physical systems. Zbl 1263.62100
Majda, Andrew J.; Yuan, Yuan
13
2012
Filtering skill for turbulent signals for a suite of nonlinear and linear extended Kalman filters. Zbl 1242.65019
Branicki, M.; Gershgorin, B.; Majda, A. J.
10
2012
Information theory, model error, and predictive skill of stochastic models for complex nonlinear systems. Zbl 1260.62067
Giannakis, Dimitrios; Majda, Andrew J.; Horenko, Illia
4
2012
Tropical cyclogenesis and vertical shear in a moist Boussinesq model. Zbl 1275.76213
Deng, Qiang; Smith, Leslie; Majda, Andrew
3
2012
Improving model fidelity and sensitivity for complex systems through empirical information theory. Zbl 1256.94026
Majda, Andrew J.; Gershgorin, Boris
21
2011
Link between statistical equilibrium fidelity and forecasting skill for complex systems with model error. Zbl 1256.86003
Majda, Andrew J.; Gershgorin, Boris
13
2011
Filtering a statistically exactly solvable test model for turbulent tracers from partial observations. Zbl 1391.76179
Gershgorin, B.; Majda, A. J.
10
2011
Invariant measures and asymptotic Gaussian bounds for normal forms of stochastic climate model. Zbl 1304.86003
Yuan, Yuan; Majda, Andrew J.
2
2011
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
54
2010
Mathematical strategies for filtering turbulent dynamical systems. Zbl 1191.93135
Majda, Andrew J.; Harlim, John; Gershgorin, Boris
23
2010
Test models for improving filtering with model errors through stochastic parameter estimation. Zbl 1178.93133
Gershgorin, B.; Harlim, J.; Majda, A. J.
23
2010
High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability. Zbl 1205.86025
Majda, 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 1178.93134
Gershgorin, B.; Harlim, J.; Majda, A. J.
22
2010
Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109
Majda, Andrew; Wang, Xiaoming
19
2010
Catastrophic filter divergence in filtering nonlinear dissipative systems. Zbl 1190.93096
Harlim, John; Majda, Andrew J.
16
2010
A stochastic multicloud model for tropical convection. Zbl 1190.86003
Khouider, Boualem; Biello, Joseph; Majda, Andrew J.
11
2010
A test model for fluctuation-dissipation theorems with time-periodic statistics. Zbl 1200.37078
Gershgorin, Boris; Majda, Andrew J.
9
2010
Filtering a nonlinear slow-fast system with strong fast forcing. Zbl 1202.62128
Gershgorin, 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 1204.35068
Majda, Andrew J.; Souganidis, Panagiotis E.
8
2010
New multi-scale models on mesoscales and squall lines. Zbl 1278.86006
Majda, Andrew J.; Xing, Yulong
5
2010
Moist multi-scale models for the hurricane embryo. Zbl 1197.76134
Majda, Andrew J.; Xing, Yulong; Mohammadian, Majid
5
2010
Hybrid deterministic stochastic systems with microscopic look-ahead dynamics. Zbl 1197.35336
Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A.
2
2010
Intraseasonal multi-scale moist dynamics of the tropical atmosphere. Zbl 1194.86013
Biello, Joseph A.; Majda, Andrew J.
1
2010
...and 206 more Documents
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Cited by 5,720 Authors

160 Majda, Andrew J.
61 Wu, Jiahong
54 Chae, Dongho
47 Wang, Shu
40 Constantin, Peter
39 Titi, Edriss Saleh
38 Zumbrun, Kevin R.
34 Chen, Gui-Qiang G.
34 Feireisl, Eduard
34 Xin, Zhouping
30 Givoli, Dan
26 Cordoba, Diego
24 Peng, Yuejun
23 Antoine, Xavier
23 Rauch, Jeffrey B.
22 Hou, Thomas Yizhao
22 Schochet, Steven H.
22 Yamazaki, Kazuo
21 Harlim, John
21 Métivier, Guy
21 Vicol, Vlad C.
21 Yang, Jianwei
21 Yao, Zhengan
21 Zhang, Zhifei
20 Chen, Shuxing
20 Dong, Boqing
20 Li, Fucai
20 Lopes Filho, Milton da Costa
20 Nussenzveig Lopes, Helena Judith
20 Shu, Chi-Wang
19 Jiang, Song
19 Katsoulakis, Markos A.
19 Liu, Jianguo
19 Stuart, Andrew M.
19 Trakhinin, Yuri L.
18 Klein, Rupert
18 Masmoudi, Nader
18 Rodrigo, José Luis
18 Sapsis, Themistoklis P.
17 Flandoli, Franco
17 Hmidi, Taoufik
17 Jiu, Quansen
17 Ju, Qiangchang
17 Kiselev, Alexander A.
17 Novotný, Antonín
17 Souganidis, Panagiotis E.
17 Xu, Jiang
16 Engquist, Bjorn E.
16 Li, Dong
16 McLaughlin, Richard M.
16 Xu, Xiaojing
16 Yong, Wen-An
15 Feng, Yuehong
15 Gala, Sadek
15 Guès, Olivier
15 Guo, Boling
15 Hagstrom, Thomas M.
15 Lucarini, Valerio
15 Qi, Di
15 Smith, Leslie M.
15 Stechmann, Samuel N.
15 Tong, Xin Thomson
15 Wang, Xiaoming
14 Beirão da Veiga, Hugo
14 Cao, Chongsheng
14 Coulombel, Jean-François
14 Gibbon, John D.
14 Hunter, John K.
14 Liu, Qiao
14 Petkov, Vesselin M.
14 Williams, Mark
14 Ye, Zhuan
14 Yin, Huicheng
14 Yuan, Baoquan
14 Zhang, Ping
13 Abramov, Rafail V.
13 Chen, Nan
13 Elgindi, Tarek Mohamed
13 Grote, Marcus J.
13 Han, Houde
13 Li, Yeping
13 Ou, Yaobin
13 Rosales, Rodolfo Ruben
13 Speck, Jared
13 Tadmor, Eitan
13 Xin, Jack X.
13 Zheng, Yuxi
12 Brenier, Yann
12 Fan, Jishan
12 Gancedo, Francisco
12 Giannakis, Dimitrios
12 Guddati, Murthy N.
12 Kawashima, Shuichi
12 Kružík, Martin
12 Lei, Zhen
12 Li, Jinkai
12 Lu, Yunguang
12 Pu, Xueke
12 Tan, Zhong
12 Temam, Roger Meyer
...and 5,620 more Authors
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Cited in 443 Serials

398 Journal of Computational Physics
319 Journal of Differential Equations
210 Archive for Rational Mechanics and Analysis
175 Communications in Mathematical Physics
163 Physica D
155 Journal of Fluid Mechanics
155 Journal of Mathematical Analysis and Applications
130 Communications in Partial Differential Equations
119 Computer Methods in Applied Mechanics and Engineering
102 Physics of Fluids
88 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
87 Mathematics of Computation
82 SIAM Journal on Mathematical Analysis
82 Journal of Mathematical Fluid Mechanics
81 Journal of Statistical Physics
79 Journal of Mathematical Physics
75 Journal of Nonlinear Science
73 Journal of Scientific Computing
68 Communications on Pure and Applied Mathematics
67 Mathematical Methods in the Applied Sciences
65 Journal of Computational and Applied Mathematics
64 ZAMP. Zeitschrift für angewandte Mathematik und Physik
62 Discrete and Continuous Dynamical Systems
61 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
59 Applied Mathematics and Computation
58 Applied Numerical Mathematics
57 Nonlinear Analysis. Real World Applications
56 Computers and Fluids
51 Applied Mathematics Letters
50 Computers & Mathematics with Applications
49 Journal of Functional Analysis
48 Journal de Mathématiques Pures et Appliquées. Neuvième Série
46 Journal of Hyperbolic Differential Equations
43 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
42 Nonlinearity
41 Chinese Annals of Mathematics. Series B
39 Transactions of the American Mathematical Society
38 Wave Motion
37 Proceedings of the National Academy of Sciences of the United States of America
36 Advances in Mathematics
36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
35 Proceedings of the American Mathematical Society
35 Studies in Applied Mathematics
33 SIAM Journal on Scientific Computing
33 Calculus of Variations and Partial Differential Equations
31 Applicable Analysis
30 Numerische Mathematik
30 Chaos
27 Discrete and Continuous Dynamical Systems. Series B
25 Combustion Theory and Modelling
24 Acta Applicandae Mathematicae
23 Quarterly of Applied Mathematics
23 SIAM Journal on Numerical Analysis
22 Journal of Evolution Equations
21 Physics of Fluids, A
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 Nonlinear Analysis. Theory, Methods & Applications
20 Multiscale Modeling & Simulation
20 Communications in Computational Physics
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 Journal of Dynamics and Differential Equations
19 Communications on Pure and Applied Analysis
19 Boundary Value Problems
19 SIAM/ASA Journal on Uncertainty Quantification
18 Stochastic Processes and their Applications
17 SIAM Journal on Applied Mathematics
17 NoDEA. Nonlinear Differential Equations and Applications
17 Science China. Mathematics
16 Annali di Matematica Pura ed Applicata. Serie Quarta
16 International Journal for Numerical Methods in Engineering
16 Inventiones Mathematicae
16 Mathematische Annalen
16 Discrete and Continuous Dynamical Systems. Series S
16 Kinetic and Related Models
16 Research in the Mathematical Sciences
16 Annals of PDE
15 Mathematical and Computer Modelling
14 Acta Mathematicae Applicatae Sinica. English Series
14 Journal of the American Mathematical Society
14 Bulletin of the American Mathematical Society. New Series
14 European Journal of Mechanics. B. Fluids
14 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
13 Theoretical and Computational Fluid Dynamics
13 Abstract and Applied Analysis
13 Acta Mathematica Sinica. English Series
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Numerical Methods for Partial Differential Equations
11 Inverse Problems
11 Duke Mathematical Journal
11 Zeitschrift für Analysis und ihre Anwendungen
11 Applied Mathematical Modelling
11 Journal of Mathematical Sciences (New York)
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
11 SIAM Journal on Applied Dynamical Systems
10 Annales de l’Institut Fourier
10 The Annals of Probability
10 Proceedings of the Japan Academy. Series A
10 RAIRO. Modélisation Mathématique et Analyse Numérique
...and 343 more Serials
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Cited in 50 Fields

3,899 Partial differential equations (35-XX)
3,223 Fluid mechanics (76-XX)
1,119 Numerical analysis (65-XX)
431 Geophysics (86-XX)
339 Probability theory and stochastic processes (60-XX)
305 Dynamical systems and ergodic theory (37-XX)
288 Statistical mechanics, structure of matter (82-XX)
255 Mechanics of deformable solids (74-XX)
195 Optics, electromagnetic theory (78-XX)
194 Classical thermodynamics, heat transfer (80-XX)
152 Statistics (62-XX)
108 Calculus of variations and optimal control; optimization (49-XX)
107 Ordinary differential equations (34-XX)
100 Systems theory; control (93-XX)
93 Biology and other natural sciences (92-XX)
87 Global analysis, analysis on manifolds (58-XX)
76 Operator theory (47-XX)
66 Quantum theory (81-XX)
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11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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7 General and overarching topics; collections (00-XX)
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5 History and biography (01-XX)
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2 Mathematical logic and foundations (03-XX)
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2 Several complex variables and analytic spaces (32-XX)
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