×
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
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 Giannakis, Dimitrios
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 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 Comeau, Darin
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.
...and 12 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

Publications by Year

Citations contained in zbMATH Open

309 Publications have been cited 11,761 times in 7,295 Documents Cited by Year
Vorticity and incompressible flow. Zbl 0983.76001
Majda, Andrew J.; Bertozzi, Andrea L.
2002
Compressible fluid flow and systems of conservation laws in several space variables. Zbl 0537.76001
Majda, A.
761
1984
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
690
1984
Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051
Engquist, Bjorn; Majda, Andrew
591
1977
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
500
1981
Introduction to PDEs and waves for the atmosphere and ocean. Zbl 1278.76004
Majda, Andrew
399
2003
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban
382
1994
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
262
1982
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
251
1979
Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059
DiPerna, Ronald J.; Majda, Andrew J.
221
1987
The stability of multi-dimensional shock fronts. Zbl 0506.76075
Majda, Andrew
165
1983
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
150
1980
Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001
Majda, Andrew J.; Wang, Xiaoming
145
2006
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
141
1985
Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
130
1987
Geometric constraints on potentially singular solutions for the \(3-D\) Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
123
1996
The existence of multi-dimensional shock fronts. Zbl 0517.76068
Majda, Andrew
122
1983
A mathematical framework for stochastic climate models. Zbl 1017.86001
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
109
2001
Absorbing boundary conditions for numerical simulation of waves. Zbl 0378.76018
Engquist, Björn; Majda, Andrew
107
1977
Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary. Zbl 0314.35061
Majda, Andrew; Osher, Stanley
100
1975
Vorticity and the mathematical theory of incompressible fluid flow. Zbl 0595.76021
Majda, Andrew
95
1986
Filtering complex turbulent systems. Zbl 1250.93002
Majda, Andrew J.; Harlim, John
95
2012
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035
Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
91
1997
Formation of singularities for wave equations including the nonlinear vibrating string. Zbl 0443.35040
Klainerman, Sergiu; Majda, Andrew
90
1980
High order accurate vortex methods with explicit velocity kernels. Zbl 0588.76037
Beale, J. T.; Majda, A.
87
1985
Theoretical and numerical structure for reacting shock waves. Zbl 0633.76060
Colella, Phillip; Majda, Andrew; Roytburd, Victor
74
1986
Theoretical and numerical structure for unstable one-dimensional detonations. Zbl 0731.76076
Bourlioux, Anne; Majda, Andrew J.; Roytburd, Victor
72
1991
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
70
1994
Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066
Majda, Andrew; Rosales, Rodolfo
69
1984
A qualitative model for dynamic combustion. Zbl 0472.76075
Majda, Andrew
67
1981
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
67
2010
Information theory and stochastics for multiscale nonlinear systems. Zbl 1082.60002
Majda, Andrew J.; Abramov, Rafail V.; Grote, Marcus J.
66
2005
Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity. Zbl 0849.35106
Embid, Pedro F.; Majda, Andrew J.
66
1996
Stable viscosity matrices for systems of conservation laws. Zbl 0512.76067
Majda, Andrew; Pego, Robert L.
65
1985
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.
61
2004
Remarks on weak solutions for vortex sheets with a distinguished sign. Zbl 0791.76015
Majda, Andrew J.
61
1993
Mathematical models with exact renormalization for turbulent transport. Zbl 0703.76042
Avellaneda, Marco; Majda, Andrew J.
60
1990
Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems. Zbl 1134.37365
Abramov, Rafail V.; Majda, Andrew J.
59
2007
A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow. Zbl 0899.76105
Majda, Andrew J.; Tabak, Esteban G.
57
1996
Rates of convergence for viscous splitting of the Navier-Stokes equations. Zbl 0518.76027
Beale, J. Thomas; Majda, Andrew
54
1981
Models for stochastic climate prediction. Zbl 0966.86003
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
54
1999
The method of fractional steps for conservation laws. Zbl 0438.65076
Crandall, Michael; Majda, Andrew
53
1980
Multiple steady states for 1-D transonic flow. Zbl 0573.76055
Embid, Pedro; Goodman, Jonathan; Majda, Andrew
53
1984
The Fourier method for nonsmooth initial data. Zbl 0393.65039
Majda, Andrew; McDonough, James; Osher, Stanley
53
1978
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
51
1988
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.
51
1991
Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084
Hunter, J. K.; Majda, A.; Rosales, R.
46
1986
High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering. Zbl 0463.35048
Majda, Andrew
45
1976
Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G.
44
1994
Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060
Tong, Xin T.; Majda, Andrew J.; Kelly, David
43
2016
An introduction to turbulent dynamical systems in complex systems. Zbl 1377.37003
Majda, Andrew J.
42
2016
Multi-dimensional shock fronts for second order wave equations. Zbl 0632.35047
Majda, Andrew; Thomann, Enrique
42
1987
Dispersive wave turbulence in one dimension. Zbl 1049.76035
Cai, David; Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
42
2001
Simplified equations for the interaction of nearly parallel vortex filaments. Zbl 0846.76015
Klein, Rupert; Majda, Andrew J.; Damodaran, Kumaran
42
1995
Physics constrained nonlinear regression models for time series. Zbl 1262.93024
Majda, Andrew J.; Harlim, John
42
2013
New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364
Abramov, Rafail V.; Majda, Andrew J.
40
2008
Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Zbl 1256.62053
Giannakis, Dimitrios; Majda, Andrew J.
40
2012
The Beltrami spectrum for incompressible fluid flows. Zbl 0669.76049
Constantin, Peter; Majda, Andrew
39
1988
An applied mathematics perspective on stochastic modelling for climate. Zbl 1153.86315
Majda, Andrew J.; Franzke, Christian; Khouider, Boualem
38
2008
A theory for spontaneous Mach stem formation in reacting shock fronts. I. The basic perturbation analysis. Zbl 0544.76135
Majda, Andrew; Rosales, Rodolfo
36
1983
Remarkable statistical behavior for truncated Burgers-Hopf dynamics. Zbl 0969.35117
Majda, Andrew J.; Timofeyev, Ilya
34
2000
Normal forms for reduced stochastic climate models. Zbl 1202.86011
Majda, Andrew J.; Franzke, Christian; Crommelin, Daan
33
2009
Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes. Zbl 0632.76074
Artola, Miguel; Majda, Andrew J.
33
1987
Lessons in uncertainty quantification for turbulent dynamical systems. Zbl 1264.94076
Majda, Andrew J.; Branicki, Michal
32
2012
Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems. Zbl 1292.62133
Sapsis, Themistoklis P.; Majda, Andrew J.
31
2013
Test models for improving filtering with model errors through stochastic parameter estimation. Zbl 1178.93133
Gershgorin, B.; Harlim, J.; Majda, A. J.
31
2010
Averaging over fast gravity waves for geophysical flow with unbalanced initial data. Zbl 0923.76339
Majda, Andrew J.; Embid, Pedro
30
1998
One perspective on open problems in multi-dimensional conservation laws. Zbl 0769.35038
Majda, Andrew J.
29
1991
Vorticity, turbulence, and acoustics in fluid flow. Zbl 0850.76278
Majda, Andrew J.
29
1991
Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009
Tong, Xin T.; Majda, Andrew J.; Kelly, David
28
2016
An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. Zbl 1349.62593
Harlim, John; Mahdi, Adam; Majda, Andrew J.
28
2014
Weakly nonlinear detonation waves. Zbl 0572.76062
Rosales, Rodolfo R.; Majda, Andrew
28
1983
The representation formula for the scattering operator and the inverse problem for arbitrary bodies. Zbl 0335.35076
Majda, Andrew
28
1977
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
27
1985
The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions. Zbl 0781.76047
Majda, Andrew J.
27
1993
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
27
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
27
1994
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
27
1992
A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Zbl 0669.76103
Majda, Andrew; Rosales, Rodolfo; Schonbek, Maria
26
1988
Mathematical strategies for filtering turbulent dynamical systems. Zbl 1191.93135
Majda, Andrew J.; Harlim, John; Gershgorin, Boris
26
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.
25
2010
Information barriers for noisy Lagrangian tracers in filtering random incompressible flows. Zbl 1320.60102
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
24
2014
Reflection of singularities at the boundary. Zbl 0307.35077
Majda, Andrew J.; Osher, Stanley
24
1975
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.
24
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
24
2010
Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations. Zbl 0358.35010
Majda, Andrew; Osher, Stanley
24
1977
Equilibrium statistical theory for nearly parallel vortex filaments. Zbl 1041.76038
Lions, Pierre-Louis; Majda, Andrew
24
2000
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
24
2018
Disappearing solutions for the dissipative wave equation. Zbl 0329.35038
Majda, Andrew
24
1975
New perspectives on superparameterization for geophysical turbulence. Zbl 1349.86035
Majda, Andrew J.; Grooms, Ian
23
2014
A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems. Zbl 1278.70018
Sapsis, Themistoklis P.; Majda, Andrew J.
23
2013
An analogue of Weyl’s theorem for unbounded domains. I. Zbl 0408.35069
Majda, Andrew; Ralston, James
23
1978
Filtering nonlinear dynamical systems with linear stochastic models. Zbl 1147.93411
Harlim, J.; Majda, A. J.
23
2008
Improving model fidelity and sensitivity for complex systems through empirical information theory. Zbl 1256.94026
Majda, Andrew J.; Gershgorin, Boris
23
2011
Coarse-grained stochastic processes for microscopic lattice systems. Zbl 1063.82033
Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G.
22
2003
Discrete shock profiles for systems of conservation laws. Zbl 0388.35047
Majda, Andrew; Ralston, James
22
1979
Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504
Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E.
22
1995
A priori tests of a stochastic mode reduction strategy. Zbl 1007.60064
Majda, A.; Timofeyev, I.; Vanden-Eijnden, E.
22
2002
Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems. Zbl 0373.35055
Majda, Andrew; Taylor, Michael
22
1977
Multidimensional hyperbolic problems and computations. Proceedings of the IMA workshop, Minneapolis, MN (USA), April 3-14, 1989. Zbl 0718.00008
21
1991
Using machine learning to predict extreme events in complex systems. Zbl 1456.68176
Qi, Di; Majda, Andrew J.
8
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.
5
2020
Statistical phase transitions and extreme events in shallow water waves with an abrupt depth change. Zbl 1446.35136
Majda, Andrew J.; Qi, Di
4
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
3
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.
2
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
15
2019
Spatial localization for nonlinear dynamical stochastic models for excitable media. Zbl 1480.65026
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
7
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
6
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.
5
2019
Simple nonlinear models with rigorous extreme events and heavy tails. Zbl 1411.60078
Majda, Andrew J.; Tong, Xin T.
3
2019
Zonal jet creation from secondary instability of drift waves for plasma edge turbulence. Zbl 1428.76071
Qi, Di; Majda, Andrew J.
2
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
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
Using statistical functionals for effective control of inhomogeneous complex turbulent dynamical systems. Zbl 1451.93377
Majda, Andrew J.; Qi, Di
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
24
2018
Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions. Zbl 1380.60055
Chen, Nan; Majda, Andrew J.
17
2018
Performance of ensemble Kalman filters in large dimensions. Zbl 1390.93799
Majda, Andrew J.; Tong, Xin T.
15
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.
12
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.
9
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
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.
20
2017
Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography. Zbl 1378.86007
Qi, Di; Majda, Andrew J.
9
2017
Stochastic superparameterization and multiscale filtering of turbulent tracers. Zbl 1361.93063
Lee, Yoonsang; Majda, Andrew J.; Qi, Di
5
2017
Effective control of complex turbulent dynamical systems through statistical functionals. Zbl 1404.76115
Majda, Andrew J.; Qi, Di
3
2017
Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060
Tong, Xin T.; Majda, Andrew J.; Kelly, David
43
2016
An introduction to turbulent dynamical systems in complex systems. Zbl 1377.37003
Majda, Andrew J.
42
2016
Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009
Tong, Xin T.; Majda, Andrew J.; Kelly, David
28
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.
18
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
10
2016
Simple stochastic model for El Niño with westerly wind bursts. Zbl 1355.86005
Thual, Sulian; Majda, Andrew J.; Chen, Nan; Stechmann, Samuel N.
10
2016
Geometric ergodicity for piecewise contracting processes with applications for tropical stochastic lattice models. Zbl 1346.86005
Majda, Andrew J.; Tong, Xin T.
9
2016
State estimation and prediction using clustered particle filters. Zbl 1407.62341
Lee, Yoonsang; Majda, Andrew J.
6
2016
Moment bounds and geometric ergodicity of diffusions with random switching and unbounded transition rates. Zbl 1386.60277
Tong, Xin T.; Majda, Andrew J.
5
2016
Nonlinear Laplacian spectral analysis of Rayleigh-Bénard convection. Zbl 1349.76796
Brenowitz, N. D.; Giannakis, D.; Majda, A. J.
2
2016
Noisy Lagrangian tracers for filtering random rotating compressible flows. Zbl 1329.76128
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
19
2015
Intermittency in turbulent diffusion models with a mean gradient. Zbl 1357.37089
Majda, Andrew J.; Tong, Xin T.
12
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.
10
2015
An information-theoretic framework for improving imperfect dynamical predictions via multi-model ensemble forecasts. Zbl 1342.94056
Branicki, Michal; Majda, Andrew J.
9
2015
Multiscale methods for data assimilation in turbulent systems. Zbl 1317.93250
Lee, Yoonsang; Majda, Andrew J.
9
2015
Numerical schemes for stochastic backscatter in the inverse cascade of quasigeostrophic turbulence. Zbl 1328.76047
Grooms, Ian; Lee, Yoonsang; Majda, Andrew J.
7
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.
4
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.
28
2014
Information barriers for noisy Lagrangian tracers in filtering random incompressible flows. Zbl 1320.60102
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
24
2014
New perspectives on superparameterization for geophysical turbulence. Zbl 1349.86035
Majda, Andrew J.; Grooms, Ian
23
2014
Blended particle filters for large-dimensional chaotic dynamical systems. Zbl 1359.62392
Majda, Andrew J.; Qi, Di; Sapsis, Themistoklis P.
17
2014
Stochastic superparameterization in quasigeostrophic turbulence. Zbl 1349.76107
Grooms, Ian; Majda, Andrew J.
14
2014
Conceptual dynamical models for turbulence. Zbl 1355.76025
Majda, Andrew J.; Lee, Yoonsang
12
2014
Stochastic superparameterization in a one-dimensional model for wave turbulence. Zbl 1431.76060
Grooms, Ian G.; Majda, Andrew J.
11
2014
Quantifying Bayesian filter performance for turbulent dynamical systems through information theory. Zbl 1302.93212
Branicki, M.; Majda, A. J.
10
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.
8
2014
Ensemble Kalman filters for dynamical systems with unresolved turbulence. Zbl 1351.76031
Grooms, Ian; Lee, Yoonsang; Majda, Andrew J.
7
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
42
2013
Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems. Zbl 1292.62133
Sapsis, Themistoklis P.; Majda, Andrew J.
31
2013
A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems. Zbl 1278.70018
Sapsis, Themistoklis P.; Majda, Andrew J.
23
2013
Efficient stochastic superparameterization for geophysical turbulence. Zbl 1292.76038
Grooms, Ian; Majda, Andrew J.
21
2013
Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities. Zbl 1281.60054
Branicki, Michal; Majda, Andrew J.
20
2013
Dynamic Stochastic Superresolution of sparsely observed turbulent systems. Zbl 1349.76761
Branicki, M.; Majda, A. J.
18
2013
Blending modified Gaussian closure and non-Gaussian reduced subspace methods for turbulent dynamical systems. Zbl 1287.34045
Sapsis, Themistoklis P.; Majda, Andrew J.
18
2013
Minimal models for precipitating turbulent convection. Zbl 1284.76199
Hernandez-Duenas, Gerardo; Majda, Andrew J.; Smith, Leslie M.; Stechmann, Samuel N.
15
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.
14
2013
Non-Gaussian test models for prediction and state estimation with model errors. Zbl 1316.60055
Branicki, Michal; Chen, Nan; Majda, Andrew J.
14
2013
Climate science in the tropics: waves, vortices and PDEs. Zbl 1322.86002
Khouider, Boualem; Majda, Andrew J.; Stechmann, Samuel N.
14
2013
Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum and intermittency. Zbl 1353.76034
Majda, Andrew J.; Gershgorin, Boris
10
2013
Test models for filtering with superparameterization. Zbl 1266.93150
Harlim, John; Majda, Andrew J.
8
2013
Nonlinear Laplacian spectral analysis: capturing intermittent and low-frequency spatiotemporal patterns in high-dimensional data. Zbl 07260360
Giannakis, Dimitrios; Majda, Andrew J.
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
4
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
Filtering complex turbulent systems. Zbl 1250.93002
Majda, Andrew J.; Harlim, John
95
2012
Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Zbl 1256.62053
Giannakis, Dimitrios; Majda, Andrew J.
40
2012
Lessons in uncertainty quantification for turbulent dynamical systems. Zbl 1264.94076
Majda, Andrew J.; Branicki, Michal
32
2012
Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency. Zbl 1259.86004
Branicki, Michal; Majda, Andrew J.
21
2012
Challenges in climate science and contemporary applied mathematics. Zbl 1242.86009
Majda, Andrew J.
19
2012
Fundamental limitations of ad hoc linear and quadratic multi-level regression models for physical systems. Zbl 1263.62100
Majda, Andrew J.; Yuan, Yuan
17
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.
13
2012
Tropical cyclogenesis and vertical shear in a moist Boussinesq model. Zbl 1275.76213
Deng, Qiang; Smith, Leslie; Majda, Andrew
5
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
Improving model fidelity and sensitivity for complex systems through empirical information theory. Zbl 1256.94026
Majda, Andrew J.; Gershgorin, Boris
23
2011
Link between statistical equilibrium fidelity and forecasting skill for complex systems with model error. Zbl 1256.86003
Majda, Andrew J.; Gershgorin, Boris
14
2011
Filtering a statistically exactly solvable test model for turbulent tracers from partial observations. Zbl 1391.76179
Gershgorin, B.; Majda, A. J.
13
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.
67
2010
Test models for improving filtering with model errors through stochastic parameter estimation. Zbl 1178.93133
Gershgorin, B.; Harlim, J.; Majda, A. J.
31
2010
Mathematical strategies for filtering turbulent dynamical systems. Zbl 1191.93135
Majda, Andrew J.; Harlim, John; Gershgorin, Boris
26
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.
25
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
24
2010
Catastrophic filter divergence in filtering nonlinear dissipative systems. Zbl 1190.93096
Harlim, John; Majda, Andrew J.
21
2010
Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109
Majda, Andrew; Wang, Xiaoming
20
2010
A stochastic multicloud model for tropical convection. Zbl 1190.86003
Khouider, Boualem; Biello, Joseph; Majda, Andrew J.
16
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.
10
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
Moist multi-scale models for the hurricane embryo. Zbl 1197.76134
Majda, Andrew J.; Xing, Yulong; Mohammadian, Majid
7
2010
New multi-scale models on mesoscales and squall lines. Zbl 1278.86006
Majda, Andrew J.; Xing, Yulong
6
2010
Hybrid deterministic stochastic systems with microscopic look-ahead dynamics. Zbl 1197.35336
Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A.
2
2010
...and 209 more Documents
all top 5

Cited by 7,035 Authors

165 Majda, Andrew J.
72 Wu, Jiahong
65 Chae, Dongho
53 Wang, Shu
47 Titi, Edriss Saleh
43 Constantin, Peter
41 Zumbrun, Kevin R.
39 Chen, Gui-Qiang G.
38 Feireisl, Eduard
38 Xin, Zhouping
33 Givoli, Dan
32 Hou, Thomas Yizhao
32 Zhang, Zhifei
28 Vicol, Vlad C.
27 Antoine, Xavier
27 Cordoba, Diego
27 Liu, Jianguo
27 Peng, Yuejun
27 Yamazaki, Kazuo
26 Ju, Qiangchang
25 Hmidi, Taoufik
25 Masmoudi, Nader
25 Yao, Zhengan
24 Métivier, Guy
24 Schochet, Steven H.
24 Yang, Jianwei
23 Flandoli, Franco
23 Harlim, John
23 Klein, Rupert
23 Li, Fucai
23 Rauch, Jeffrey B.
23 Stechmann, Samuel N.
22 Chen, Shuxing
22 Dong, Boqing
22 Jiu, Quansen
22 Shu, Chi-Wang
22 Trakhinin, Yuri L.
21 Engquist, Bjorn E.
21 Kiselev, Alexander A.
21 Sapsis, Themistoklis P.
20 Cao, Daomin
20 Gala, Sadek
20 Jiang, Song
20 Lopes Filho, Milton da Costa
20 Nussenzveig Lopes, Helena Judith
20 Stuart, Andrew M.
20 Xu, Xiaojing
19 Guo, Boling
19 Hunter, John K.
19 Katsoulakis, Markos A.
19 Lucarini, Valerio
19 Ou, Yaobin
19 Zhang, Qian
18 Elgindi, Tarek Mohamed
18 Jeong, In-Jee
18 McLaughlin, Richard M.
18 Qi, Di
18 Rodrigo, José Luis
18 Smith, Leslie M.
18 Tong, Xin Thomson
18 Xu, Jiang
18 Yong, Wen-An
18 Zhang, Ping
17 Feng, Yuehong
17 Li, Yachun
17 Novotný, Antonín
17 Souganidis, Panagiotis E.
17 Tan, Zhong
17 Yuan, Baoquan
16 Cao, Chongsheng
16 Chen, Nan
16 Hagstrom, Thomas M.
16 Li, Dong
16 Li, Jinkai
16 Ragusa, Maria Alessandra
16 Yin, Huicheng
15 Beirão da Veiga, Hugo
15 Gancedo, Francisco
15 Gibbon, John D.
15 Grote, Marcus J.
15 Guès, Olivier
15 Holm, Darryl Dallas
15 Li, Yeping
15 Liu, Cunming
15 Petkov, Vesselin M.
15 Pu, Xueke
15 Wang, Xiaoming
15 Williams, Mark
15 Ye, Zhuan
14 Ambrose, David M.
14 Brunton, Steven L.
14 Coulombel, Jean-François
14 Dumbser, Michael
14 Fan, Jishan
14 Giannakis, Dimitrios
14 Liu, Qiao
14 Rebholz, Leo Gregory
14 Rosales, Rodolfo Ruben
14 Shang, Haifeng
14 Speck, Jared
...and 6,935 more Authors
all top 5

Cited in 495 Serials

526 Journal of Computational Physics
378 Journal of Differential Equations
243 Archive for Rational Mechanics and Analysis
203 Physica D
192 Communications in Mathematical Physics
181 Journal of Mathematical Analysis and Applications
172 Journal of Fluid Mechanics
142 Communications in Partial Differential Equations
132 Computer Methods in Applied Mechanics and Engineering
128 Mathematical Methods in the Applied Sciences
117 SIAM Journal on Mathematical Analysis
115 Journal of Mathematical Physics
113 Journal of Mathematical Fluid Mechanics
110 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
102 Physics of Fluids
101 Communications on Pure and Applied Mathematics
96 Journal of Nonlinear Science
95 Journal of Statistical Physics
88 Mathematics of Computation
87 Journal of Scientific Computing
85 ZAMP. Zeitschrift für angewandte Mathematik und Physik
82 Nonlinear Analysis. Real World Applications
79 Nonlinearity
76 Discrete and Continuous Dynamical Systems
75 Applied Mathematics and Computation
70 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
69 Journal of Computational and Applied Mathematics
65 Journal of Functional Analysis
65 Applied Mathematics Letters
63 Computers and Fluids
63 Applied Numerical Mathematics
60 Journal de Mathématiques Pures et Appliquées. Neuvième Série
56 Computers & Mathematics with Applications
54 Journal of Hyperbolic Differential Equations
47 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
47 Calculus of Variations and Partial Differential Equations
45 Advances in Mathematics
43 Studies in Applied Mathematics
43 Chinese Annals of Mathematics. Series B
43 SIAM Journal on Scientific Computing
42 Wave Motion
41 Transactions of the American Mathematical Society
41 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
39 Applicable Analysis
39 Chaos
38 Proceedings of the American Mathematical Society
37 Proceedings of the National Academy of Sciences of the United States of America
35 Numerische Mathematik
35 Discrete and Continuous Dynamical Systems. Series B
32 Acta Applicandae Mathematicae
32 Journal of Evolution Equations
31 SIAM Journal on Numerical Analysis
31 Boundary Value Problems
29 Quarterly of Applied Mathematics
29 Multiscale Modeling & Simulation
28 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
27 Combustion Theory and Modelling
27 Communications on Pure and Applied Analysis
26 Mathematische Annalen
26 NoDEA. Nonlinear Differential Equations and Applications
26 SIAM/ASA Journal on Uncertainty Quantification
24 Physics Letters. A
24 International Journal for Numerical Methods in Engineering
24 Science China. Mathematics
24 Annals of PDE
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
23 Communications in Computational Physics
22 Nonlinear Analysis. Theory, Methods & Applications
21 Physics of Fluids, A
21 Stochastic Processes and their Applications
21 Journal of Dynamics and Differential Equations
20 Inventiones Mathematicae
20 SIAM Journal on Applied Mathematics
19 Geophysical and Astrophysical Fluid Dynamics
19 Numerical Methods for Partial Differential Equations
19 SIAM Journal on Applied Dynamical Systems
19 Discrete and Continuous Dynamical Systems. Series S
19 Kinetic and Related Models
18 Inverse Problems
18 Acta Mathematica Scientia. Series B. (English Edition)
17 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Research in the Mathematical Sciences
16 Computer Physics Communications
16 Acta Mathematicae Applicatae Sinica. English Series
16 Mathematical and Computer Modelling
16 Bulletin of the American Mathematical Society. New Series
16 Communications in Nonlinear Science and Numerical Simulation
15 European Journal of Mechanics. B. Fluids
14 Journal of the American Mathematical Society
14 Applications of Mathematics
14 Journal of Mathematical Sciences (New York)
14 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
14 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
14 Mathematics of Climate and Weather Forecasting
13 Theoretical and Computational Fluid Dynamics
13 Applied Mathematical Modelling
13 Abstract and Applied Analysis
13 Acta Mathematica Sinica. English Series
13 Analysis & PDE
12 International Journal for Numerical Methods in Fluids
...and 395 more Serials
all top 5

Cited in 53 Fields

4,997 Partial differential equations (35-XX)
4,169 Fluid mechanics (76-XX)
1,423 Numerical analysis (65-XX)
578 Geophysics (86-XX)
447 Probability theory and stochastic processes (60-XX)
391 Dynamical systems and ergodic theory (37-XX)
346 Statistical mechanics, structure of matter (82-XX)
315 Mechanics of deformable solids (74-XX)
244 Optics, electromagnetic theory (78-XX)
239 Classical thermodynamics, heat transfer (80-XX)
191 Statistics (62-XX)
135 Calculus of variations and optimal control; optimization (49-XX)
131 Systems theory; control (93-XX)
128 Ordinary differential equations (34-XX)
120 Biology and other natural sciences (92-XX)
102 Global analysis, analysis on manifolds (58-XX)
95 Operator theory (47-XX)
94 Real functions (26-XX)
94 Harmonic analysis on Euclidean spaces (42-XX)
85 Quantum theory (81-XX)
79 Mechanics of particles and systems (70-XX)
65 Computer science (68-XX)
61 Relativity and gravitational theory (83-XX)
55 Functional analysis (46-XX)
50 Differential geometry (53-XX)
40 Astronomy and astrophysics (85-XX)
39 Operations research, mathematical programming (90-XX)
36 Integral equations (45-XX)
33 Information and communication theory, circuits (94-XX)
31 Integral transforms, operational calculus (44-XX)
30 Measure and integration (28-XX)
28 Approximations and expansions (41-XX)
17 Special functions (33-XX)
15 Functions of a complex variable (30-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 General and overarching topics; collections (00-XX)
12 History and biography (01-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Difference and functional equations (39-XX)
6 Potential theory (31-XX)
5 Combinatorics (05-XX)
4 Convex and discrete geometry (52-XX)
4 General topology (54-XX)
3 Nonassociative rings and algebras (17-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Manifolds and cell complexes (57-XX)
2 Number theory (11-XX)
2 Topological groups, Lie groups (22-XX)
2 Sequences, series, summability (40-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Geometry (51-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.