Andrew Majda
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American mathematician
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Mathematics
Andrew Majda's Degrees
- PhD Mathematics Princeton University
- Bachelors Mathematics University of California, Berkeley
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Why Is Andrew Majda Influential?
(Suggest an Edit or Addition)According to Wikipedia, Andrew Joseph Majda was an American mathematician and the Morse Professor of Arts and Sciences at the Courant Institute of Mathematical Sciences of New York University. He was known for his theoretical contributions to partial differential equations as well as his applied contributions to diverse areas including shock waves, combustion, incompressible flow, vortex dynamics, and atmospheric sciences. Majda was listed as an ISI highly cited researcher in mathematics.
Andrew Majda's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Vorticity and incompressible flow (2001) (1693)
- Compressible fluid flow and systems of conservation laws in several space variables (1984) (1581)
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit (1981) (865)
- Radiation boundary conditions for acoustic and elastic wave calculations (1979) (795)
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar (1994) (711)
- Introduction to PDEs and Waves in Atmosphere and Ocean (2003) (672)
- Compressible and incompressible fluids (1982) (568)
- SIMPLIFIED MODELS FOR TURBULENT DIFFUSION : THEORY, NUMERICAL MODELLING, AND PHYSICAL PHENOMENA (1999) (475)
- Oscillations and concentrations in weak solutions of the incompressible fluid equations (1987) (461)
- Monotone difference approximations for scalar conservation laws (1979) (445)
- Vorticity and Incompressible Flow: Index (2001) (411)
- Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows (2006) (384)
- A mathematical framework for stochastic climate models (2001) (376)
- Geometric constraints on potentially singular solutions for the 3-D Euler equations (1996) (287)
- A Simple Multicloud Parameterization for Convectively Coupled Tropical Waves. Part I: Linear Analysis (2006) (282)
- High order accurate vortex methods with explicit velocity kernels (1985) (277)
- A simple one-dimensional model for the three-dimensional vorticity equation (1985) (275)
- Vorticity and the mathematical theory of incompressible fluid flow (1986) (273)
- Concentrations in regularizations for 2-D incompressible flow (1987) (263)
- Models for stochastic climate prediction. (1999) (259)
- The skeleton of tropical intraseasonal oscillations (2009) (255)
- Vortex methods. II. Higher order accuracy in two and three dimensions (1982) (254)
- Vortex methods. I. Convergence in three dimensions (1982) (237)
- Systematic Strategies for Stochastic Mode Reduction in Climate (2003) (229)
- Filtering Complex Turbulent Systems (2012) (226)
- Absorbing Boundary Conditions for Numerical Simulation of Waves (1977) (225)
- Theoretical and numerical structure for unstable one-dimensional detonations (1991) (222)
- A stochastic multicloud model for tropical convection (2010) (218)
- The stability of multidimensional shock fronts (1983) (217)
- Information theory and stochastics for multiscale nonlinear systems (2005) (214)
- A one-dimensional model for dispersive wave turbulence (1997) (211)
- Theoretical and numerical structure for reacting shock waves (1986) (207)
- Initial‐boundary value problems for hyperbolic equations with uniformly characteristic boundary (1975) (205)
- Rates of convergence for viscous splitting of the Navier-Stokes equations (1981) (198)
- Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability (2012) (197)
- Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity (1996) (194)
- Stable viscosity matrices for systems of conservation laws (1985) (188)
- Mathematical models with exact renormalization for turbulent transport (1990) (187)
- The stability of multi-dimensional shock fronts (1983) (181)
- Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales (1994) (180)
- Formation of singularities for wave equations including the nonlinear vibrating string (1980) (174)
- Systematic Multiscale Models for the Tropics (2003) (174)
- A New Multiscale Model for the MaddenJulian Oscillation (2005) (169)
- Qualitative model for dynamic combustion (1981) (169)
- Resonantly interacting, weakly nonlinear hyperbolic waves.II. Several space variables (1986) (168)
- A multiscale model for tropical intraseasonal oscillations. (2004) (164)
- Large Scale Dynamics of Precipitation Fronts in the Tropical Atmosphere: A Novel Relaxation Limit (2004) (162)
- An applied mathematics perspective on stochastic modelling for climate (2008) (155)
- The method of fractional steps for conservation laws (1980) (153)
- The existence of multidimensional shock fronts (1983) (150)
- The Fourier method for nonsmooth initial data (1978) (150)
- Low-Order Stochastic Mode Reduction for a Realistic Barotropic Model Climate (2005) (149)
- Low Froude number limiting dynamics for stably stratified flow with small or finite Rossby numbers (1998) (147)
- Theoretical and numerical structure for unstable two-dimensional detonations (1992) (145)
- Strategies for Model Reduction: Comparing Different Optimal Bases (2004) (140)
- Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems (2007) (140)
- An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows (1991) (138)
- The Nonlinear Interaction of Barotropic and Equatorial Baroclinic Rossby Waves (2003) (135)
- The existence of multi-dimensional shock fronts (1983) (134)
- A Simple Multicloud Parameterization for Convectively Coupled Tropical Waves. Part II: Nonlinear Simulations (2007) (134)
- Stochastic and mesoscopic models for tropical convection (2002) (131)
- Physics constrained nonlinear regression models for time series (2012) (128)
- Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems (2003) (126)
- A simple framework to justify linear response theory (2009) (126)
- Quantifying uncertainty in climate change science through empirical information theory (2010) (118)
- Models for Stratiform Instability and Convectively Coupled Waves (2001) (117)
- Normal forms for reduced stochastic climate models (2009) (114)
- Coarse-grained stochastic models for tropical convection and climate (2003) (113)
- Simplified equations for the interaction of nearly parallel vortex filaments (1995) (113)
- Coarse-grained stochastic processes for microscopic lattice systems (2003) (107)
- The Beltrami spectrum for incompressible fluid flows (1988) (107)
- New Approximations and Tests of Linear Fluctuation-Response for Chaotic Nonlinear Forced-Dissipative Dynamical Systems (2008) (107)
- Reduced Hausdorff dimension and concentration-cancellation for two-dimensional incompressible flow (1988) (106)
- Multicloud Models for Organized Tropical Convection: Enhanced Congestus Heating (2008) (104)
- Low-Order Stochastic Mode Reduction for a Prototype Atmospheric GCM (2006) (103)
- A Simple Dynamical Model with Features of Convective Momentum Transport (2009) (103)
- Singular front formation in a model for quasigeostrophic flow (1994) (102)
- The MJO and Convectively Coupled Waves in a Coarse-Resolution GCM with a Simple Multicloud Parameterization (2010) (102)
- Remarkable statistical behavior for truncated Burgers-Hopf dynamics. (2000) (98)
- A two-dimensional model for quasigeostrophic flow: comparison with the two-dimensional Euler flow (1996) (96)
- High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering (1976) (95)
- Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems (2013) (95)
- Multiple Steady States for 1-D Transonic Flow (1984) (95)
- Using the Stochastic Multicloud Model to Improve Tropical Convective Parameterization: A Paradigm Example (2012) (94)
- Climate response of linear and quadratic functionals using the fluctuation-dissipation theorem (2008) (91)
- Weakly Nonlinear Detonation Waves (1983) (91)
- Equatorial Convectively Coupled Waves in a Simple Multicloud Model (2008) (89)
- Vorticity, Turbulence, and Acoustics in Fluid Flow (1991) (88)
- Numerical viscosity and the entropy condition (1979) (88)
- Lessons in uncertainty quantification for turbulent dynamical systems (2012) (85)
- Distinct metastable atmospheric regimes despite nearly Gaussian statistics: a paradigm model. (2006) (84)
- Dispersive wave turbulence in one dimension (2001) (84)
- Introduction to Turbulent Dynamical Systems in Complex Systems (2016) (82)
- Mathematical strategies for filtering turbulent dynamical systems (2010) (82)
- A representation formula for the scattering operator and the inverse problem for arbitrary bodies (1977) (82)
- The MJO in a Coarse-Resolution GCM with a Stochastic Multicloud Parameterization (2014) (82)
- Nonlinear Dynamics and Regional Variations in the MJO Skeleton (2011) (81)
- Efficient stochastic superparameterization for geophysical turbulence (2013) (80)
- A Model for Convectively Coupled Tropical Waves: Nonlinearity, Rotation, and Comparison with Observations (2004) (80)
- A mathematical framework for quantifying predictability through relative entropy (2002) (79)
- Averaging over Fast Gravity Waves for Geophysical Flows with Unbalanced Initial Data (1998) (79)
- A Theory for Spontaneous Mach Stem Formation in Reacting Shock Fronts, I. The Basic Perturbation Analysis (1983) (78)
- Nonlinear stability and ergodicity of ensemble based Kalman filters (2015) (78)
- Test models for improving filtering with model errors through stochastic parameter estimation (2010) (77)
- The validity of nonlinear geometric optics for weak solutions of conservation laws (1985) (76)
- Low-Frequency Climate Response and Fluctuation–Dissipation Theorems: Theory and Practice (2010) (76)
- Stochastic Behavior of Tropical Convection in Observations and a Multicloud Model (2012) (75)
- Multicloud Convective Parametrizations with Crude Vertical Structure (2006) (75)
- Systematic multiscale models for deep convection on mesoscales (2006) (74)
- Self-stretching of a perturbed vortex filament I: the asymptotic equation for deviations from a straight line (1991) (73)
- Multiscale Models with Moisture and Systematic Strategies for Superparameterization (2007) (73)
- New Multiscale Models and Self-Similarity in Tropical Convection (2007) (73)
- Equilibrium statistical theory for nearly parallel vortex filaments (2000) (72)
- Climate science in the tropics: waves, vortices and PDEs (2012) (72)
- Nonlinear development of instabilities in supersonic vortex sheets I. The basic kink modes (1987) (72)
- Mathematical models with exact renormalization for turbulent transport, II: Fractal interfaces, non-Gaussian statistics and the sweeping effect (1992) (72)
- Improving model fidelity and sensitivity for complex systems through empirical information theory (2011) (72)
- Information theory and predictability for low-frequency variability (2005) (71)
- Discrete shock profiles for systems of conservation laws (1979) (70)
- Existence of global weak solutions to one-component vlasov-poisson and fokker-planck-poisson systems in one space dimension with measures as initial data (1994) (70)
- Multi‐dimensional shock fronts for second order wave equations (1987) (69)
- Multidimensional hyperbolic problems and computations (1991) (68)
- Linear response theory for statistical ensembles in complex systems with time-periodic forcing (2010) (66)
- Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation (2010) (66)
- Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations (1977) (65)
- Explicit inertial range renormalization theory in a model for turbulent diffusion (1993) (65)
- Theoretical and numerical structure of unstable detonations (1995) (65)
- Catastrophic filter divergence in filtering nonlinear dissipative systems (2010) (64)
- A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems (2013) (64)
- An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models (2014) (64)
- One Perspective on Open Problems in Multi-Dimensional Conservation Laws (1991) (63)
- An analogue of Weyl’s theorem for unbounded domains I (1978) (63)
- Predicting the cloud patterns of the Madden‐Julian Oscillation through a low‐order nonlinear stochastic model (2014) (63)
- Madden–Julian Oscillation analog and intraseasonal variability in a multicloud model above the equator (2007) (63)
- Stochastic models for selected slow variables in large deterministic systems (2006) (62)
- MODEL DYNAMICS AND VERTICAL COLLAPSE IN DECAYING STRONGLY STRATIFIED FLOWS (1997) (62)
- Using machine learning to predict extreme events in complex systems (2019) (62)
- DISAPPEARING SOLUTIONS FOR THE DISSIPATIVE WAVE EQUATION. (1975) (61)
- A Canonical System of lntegrodifferential Equations Arising in Resonant Nonlinear Acoustics (1988) (61)
- Comparison of turbulent flame speeds from complete averaging and the G‐equation (1995) (61)
- Meridional Momentum Flux and Superrotation in the Multiscale IPESD MJO Model (2007) (61)
- High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability (2009) (61)
- Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities (2013) (60)
- Statistical equilibrium predictions of jets and spots on Jupiter (2001) (60)
- A New Algorithm for Low-Frequency Climate Response (2009) (60)
- Challenges in Climate Science and Contemporary Applied Mathematics (2012) (58)
- Reflection of singularities at the boundary (1975) (58)
- Numerical Radiation Boundary Conditions for Unsteady Transonic Flow (1981) (58)
- Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers‐Hopf equation (2003) (58)
- Quantifying predictability through information theory: small sample estimation in a non-Gaussian framework (2005) (57)
- Concentrations in the one-dimensional Vlasov-Poisson equations, I.: temporal development and non-unique weak solutions in the single component case (1994) (57)
- Simple examples with features of renormalization for turbulent transport (1994) (57)
- Systematic metastable atmospheric regime identification in an AGCM (2009) (57)
- Filtering nonlinear dynamical systems with linear stochastic models (2008) (57)
- Pair dispersion over an inertial range spanning many decades (1996) (56)
- Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation (2015) (56)
- The Effect of Mean Flows on Enhanced Diffusivity in Transport by Incompressible Periodic Velocity Fields (1993) (55)
- A non-oscillatory balanced scheme for an idealized tropical climate model (2005) (55)
- New perspectives on superparameterization for geophysical turbulence (2014) (55)
- Statistical Mechanics for Truncations of the Burgers-Hopf Equation: A Model for Intrinsic Stochastic Behavior with Scaling (2002) (54)
- Spectral bifurcations in dispersive wave turbulence. (1999) (53)
- A Fourier-Wavelet Monte Carlo Method for Fractal Random Fields (1997) (52)
- Strategies for Reduced-Order Models for Predicting the Statistical Responses and Uncertainty Quantification in Complex Turbulent Dynamical Systems (2018) (52)
- New Methods for Estimating Ocean Eddy Heat Transport Using Satellite Altimetry (2012) (52)
- The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions (1993) (52)
- Gravity Waves in Shear and Implications for Organized Convection (2009) (51)
- A Stochastic Skeleton Model for the MJO (2013) (50)
- Conceptual dynamical models for turbulence (2014) (50)
- Statistically relevant conserved quantities for truncated quasigeostrophic flow (2003) (50)
- Stochastic superparameterization in a quasigeostrophic model of the Antarctic Circumpolar Current (2015) (50)
- A mechanism for catastrophic filter divergence in data assimilation for sparse observation networks (2013) (50)
- Elementary stratified flows with instability at large Richardson number (1998) (49)
- New Efficient Sparse Space–Time Algorithms for Superparameterization on Mesoscales (2009) (49)
- Arctic Sea Ice Reemergence: The Role of Large-Scale Oceanic and Atmospheric Variability* (2014) (49)
- Waves and Instabilities for Model Tropical Convective Parameterizations (2001) (49)
- Quantifying Uncertainty for Non-Gaussian Ensembles in Complex Systems (2005) (48)
- Quantifying predictability in a model with statistical features of the atmosphere (2002) (48)
- Model Error, Information Barriers, State Estimation and Prediction in Complex Multiscale Systems (2018) (47)
- Identifying the Skeleton of the Madden–Julian Oscillation in Observational Data (2015) (47)
- Concrete ensemble Kalman filters with rigorous catastrophic filter divergence (2015) (47)
- Link between statistical equilibrium fidelity and forecasting skill for complex systems with model error (2011) (47)
- Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems (1977) (47)
- Stochastic superparameterization in quasigeostrophic turbulence (2013) (47)
- Stochastic models for convective momentum transport (2008) (47)
- Stochastic and deterministic multicloud parameterizations for tropical convection (2012) (46)
- Improving synoptic and intraseasonal variability in CFSv2 via stochastic representation of organized convection (2017) (46)
- Improving synoptic and intraseasonal variability in CFSv2 via stochastic representation of organized convection (2017) (46)
- Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency (2012) (46)
- Flame fronts in a turbulent combustion model with fractal velocity fields (1998) (45)
- Quantifying the Predictive Skill in Long-Range Forecasting. Part I: Coarse-Grained Predictions in a Simple Ocean Model (2012) (45)
- Beating the curse of dimension with accurate statistics for the Fokker–Planck equation in complex turbulent systems (2017) (45)
- Modulating synoptic scale convective activity and boundary layer dissipation in the IPESD models of the Madden–Julian oscillation (2006) (45)
- Elementary models with probability distribution function intermittency for passive scalars with a mean gradient (2002) (45)
- Multiscale Waves in an MJO Background and Convective Momentum Transport Feedback (2012) (45)
- Nonlinear Laplacian spectral analysis: capturing intermittent and low‐frequency spatiotemporal patterns in high‐dimensional data (2012) (44)
- Approximate and exact renormalization theories for a model for turbulent transport (1992) (44)
- Simple stochastic model for El Niño with westerly wind bursts (2016) (44)
- Blended particle filters for large-dimensional chaotic dynamical systems (2014) (43)
- Outgoing solutions for perturbations of—Δ with applications to spectral and scattering theory (1974) (43)
- Filtering skill for turbulent signals for a suite of nonlinear and linear extended Kalman filters (2012) (43)
- FUNDAMENTAL LIMITATIONS OF AD HOC LINEAR AND QUADRATIC MULTI-LEVEL REGRESSION MODELS FOR PHYSICAL SYSTEMS (2012) (43)
- Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part II, Stochastic closures (2004) (43)
- Comparing low‐frequency and intermittent variability in comprehensive climate models through nonlinear Laplacian spectral analysis (2012) (42)
- The Origin of Nonlinear Signatures of Planetary Wave Dynamics: Mean Phase Space Tendencies and Contributions from Non-Gaussianity (2007) (42)
- Conditional Gaussian Systems for Multiscale Nonlinear Stochastic Systems: Prediction, State Estimation and Uncertainty Quantification (2018) (42)
- Filtering Turbulent Sparsely Observed Geophysical Flows (2010) (42)
- Wave Motion: Theory, Modelling, and Computation (1987) (41)
- A systematic approach for correcting nonlinear instabilities (1978) (41)
- Blending Modified Gaussian Closure and Non-Gaussian Reduced Subspace Methods for Turbulent Dynamical Systems (2013) (41)
- A Wavelet Monte Carlo Method for Turbulent Diffusion with Many Spatial Scales (1994) (41)
- Quantifying the predictive skill in long-range forecasting. Part II: Model error in coarse-grained Markov models with application to ocean-circulation regimes (2012) (40)
- Statistical dynamical model to predict extreme events and anomalous features in shallow water waves with abrupt depth change (2019) (40)
- Dissipation, topography, and statistical theories for large‐scale coherent structure (1997) (40)
- Non-Gaussian Test Models for Prediction and State Estimation with Model Errors (2013) (40)
- Asymptotic Behaviour and Self-Similarity for the Three Dimensional Vlasov Poisson Fokker Planck System (1995) (40)
- The Effect of Meridional and Vertical Shear on the Interaction of Equatorial Baroclinic and Barotropic Rossby Waves (2004) (40)
- Information barriers for noisy Lagrangian tracers in filtering random incompressible flows (2014) (40)
- Self-stretching of perturbed vortex filaments: II. structure of solutions (1991) (40)
- Predictability in a Model of Geophysical Turbulence (2005) (39)
- Explicit off-line criteria for stable accurate time filtering of strongly unstable spatially extended systems (2007) (39)
- Predicting fat-tailed intermittent probability distributions in passive scalar turbulence with imperfect models through empirical information theory (2016) (39)
- Mathematical test models for superparametrization in anisotropic turbulence (2009) (39)
- An explicit example with non‐Gaussian probability distribution for nontrivial scalar mean and fluctuation (1996) (39)
- Realistic initiation and dynamics of the Madden‐Julian Oscillation in a coarse resolution aquaplanet GCM (2013) (39)
- Model multi-cloud parameterizations for convectively coupled waves: Detailed nonlinear wave evolution (2006) (39)
- Interaction of large-scale equatorial waves and dispersion of Kelvin waves through topographic resonances (1999) (39)
- A priori tests of a stochastic mode reduction strategy (2002) (38)
- A NONLINEAR TEST MODEL FOR FILTERING SLOW-FAST SYSTEMS ∗ (2008) (37)
- Minimal models for precipitating turbulent convection (2013) (36)
- Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum and intermittency (2013) (36)
- Mathematical test criteria for filtering complex systems: Plentiful observations (2008) (36)
- Dirichlet quotients and 2D periodic Navier-Stokes equations (1997) (35)
- A non-oscillatory balanced scheme for an idealized tropical climate model (2005) (35)
- Information flow between subspaces of complex dynamical systems (2007) (35)
- Information theory, model error, and predictive skill of stochastic models for complex nonlinear systems (2012) (35)
- The Structure of Precipitation Fronts for Finite Relaxation Time (2006) (35)
- Subtle statistical behavior in simple models for random advection-diffusion (1994) (35)
- Mathematical strategies for filtering complex systems: Regularly spaced sparse observations (2008) (34)
- Point vortex dynamics for coupled surface/interior QG and propagating heton clusters in models for ocean convection (2001) (34)
- Reemergence Mechanisms for North Pacific Sea Ice Revealed through Nonlinear Laplacian Spectral Analysis (2014) (34)
- Dynamic Stochastic Superresolution of sparsely observed turbulent systems (2013) (34)
- Random shearing direction models for isotropic turbulent diffusion (1994) (34)
- Low-Dimensional Reduced-Order Models for Statistical Response and Uncertainty Quantification: Two-Layer Baroclinic Turbulence (2016) (34)
- A new algorithm with plane waves and wavelets for random velocity fields with many spatial scales (1995) (33)
- Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions (2017) (33)
- Quantifying Bayesian filter performance for turbulent dynamical systems through information theory (2014) (32)
- Data-driven prediction strategies for low-frequency patterns of North Pacific climate variability (2015) (32)
- Filtering Nonlinear Turbulent Dynamical Systems through Conditional Gaussian Statistics (2016) (32)
- Improved Tropical Modes of Variability in the NCEP Climate Forecast System (Version 2) via a Stochastic Multicloud Model (2017) (32)
- A Test Model for Fluctuation-Dissipation Theorems with Time Periodic Statistics (PREPRINT) (2010) (32)
- DIFFUSION LIMIT OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM (2009) (32)
- Predicting the Real-Time Multivariate Madden–Julian Oscillation Index through a Low-Order Nonlinear Stochastic Model (2015) (31)
- The validity of the modified equation for nonlinear shock waves (1985) (31)
- Performance of Ensemble Kalman Filters in Large Dimensions (2016) (31)
- A simple justification of the singular limit for equatorial shallow‐water dynamics (2009) (31)
- Statistical energy conservation principle for inhomogeneous turbulent dynamical systems (2015) (31)
- Effect of Stratiform Heating on the Planetary-Scale Organization of Tropical Convection (2016) (31)
- A multiscale model for the intraseasonal impact of the diurnal cycle over the maritime continent on the Madden-Julian oscillation (2016) (30)
- Noisy Lagrangian Tracers for Filtering Random Rotating Compressible Flows (2015) (30)
- The interaction of nonlinear analysis and modern applied mathematics (1990) (30)
- Filtering a statistically exactly solvable test model for turbulent tracers from partial observations (2011) (30)
- A Theory for Spontaneous Mach‐Stem Formation in Reacting Shock Fronts. II. Steady‐Wave Bifurcations and the Evidence for Breakdown (1984) (29)
- Parametrizing the burning speed enhancement by small-scale periodic flows: I. Unsteady shears, flame residence time and bending (2001) (29)
- Blended reduced subspace algorithms for uncertainty quantification of quadratic systems with a stable mean state (2013) (29)
- A Theory for Spontaneous Mach‐Stem Formation in Reacting Shock Fronts. II. Steady‐Wave Bifurcations and the Evidence for Breakdown (1984) (29)
- Superdiffusion in nearly stratified flows (1992) (29)
- Numerical Schemes for Stochastic Backscatter in the Inverse Cascade of Quasigeostrophic Turbulence (2015) (29)
- Low-Frequency Climate Response of Quasigeostrophic Wind-Driven Ocean Circulation (2012) (28)
- Extraction and predictability of coherent intraseasonal signals in infrared brightness temperature data (2016) (28)
- Boundary layer dissipation and the nonlinear interaction of equatorial baroclinic and barotropic rossby waves (2004) (28)
- Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws (1986) (28)
- Intermittency in turbulent diffusion models with a mean gradient (2015) (28)
- Intermittency, metastability and coarse graining for coupled deterministic–stochastic lattice systems (2006) (28)
- An analogue of Weyl’s formula for unbounded domains III. An epilogue (1979) (28)
- Effective geometric front dynamics for premixed turbulent combustion with separated velocity scales (1994) (28)
- Ensemble Kalman filters for dynamical systems with unresolved turbulence (2014) (27)
- Prototype geophysical vortex structures via large-scale statistical theory (1998) (27)
- Low-dimensional chaotic dynamics versus intrinsic stochastic noise: a paradigm model (2004) (27)
- Simplified Equations for Low Mach Number Combustion with Strong Heat Release (1991) (26)
- Stochastic superparameterization in a one-dimensional model for wave turbulence (2014) (26)
- Simulation of monsoon intraseasonal oscillations in a coarse‐resolution aquaplanet GCM (2014) (26)
- Time Series Reconstruction via Machine Learning: Revealing Decadal Variability and Intermittency in the North Pacific Sector of a Coupled Climate Model (2011) (26)
- Equilibrium Statistical Predictions for Baroclinic Vortices: The Role of Angular Momentum (2001) (26)
- The asymptotic behavior of the diffraction peak in classical scattering (1977) (26)
- Nonlinear dynamics of hydrostatic internal gravity waves (2008) (25)
- Predicting the Cloud Patterns for the Boreal Summer Intraseasonal Oscillation Through a Low-Order Stochastic Model (2015) (25)
- Symmetric and Antisymmetric Convection Signals in the Madden–Julian Oscillation. Part I: Basic Modes in Infrared Brightness Temperature (2014) (25)
- Real world turbulence and modern applied mathematics (2000) (25)
- Role of stratiform heating on the organization of convection over the monsoon trough (2016) (24)
- Calibration of the Stochastic Multicloud Model Using Bayesian Inference (2014) (24)
- An elementary model for the validation of flamelet approximations in non-premixed turbulent combustion (2000) (24)
- Filtering a nonlinear slow-fast system with strong fast forcing (2010) (24)
- Implementation and calibration of a stochastic multicloud convective parameterization in the NCEP Climate Forecast System (CFSv2) (2017) (24)
- State estimation and prediction using clustered particle filters (2016) (24)
- An MCMC Algorithm for Parameter Estimation in Signals with Hidden Intermittent Instability (2014) (24)
- Monte Carlo methods for turbulent tracers with long range and fractal random velocity fields. (1997) (24)
- The dynamics of equatorial long waves: a singular limit with fast variable coefficients (2006) (24)
- Quantifying Uncertainty for Climate Change and Long-Range Forecasting Scenarios with Model Errors. Part I: Gaussian Models (2012) (24)
- Moist multi-scale models for the hurricane embryo (2010) (23)
- DISCRETE APPROXIMATIONS WITH ADDITIONAL CONSERVED QUANTITIES: DETERMINISTIC AND STATISTICAL BEHAVIOR ∗ (2003) (23)
- Simple stochastic dynamical models capturing the statistical diversity of El Niño Southern Oscillation (2017) (23)
- Test Models for Filtering with Superparameterization (2013) (23)
- Nonlinear development of instabilities in supersonic vortex sheets II: resonant interactions among kink modes (1989) (23)
- Simple Multicloud Models for the Diurnal Cycle of Tropical Precipitation. Part I: Formulation and the Case of the Tropical Oceans (2011) (22)
- Numerical Study of the Mechanisms for Initiation of Reacting Shock Waves (1990) (22)
- An Information-Theoretic Framework for Improving Imperfect Dynamical Predictions Via Multi-Model Ensemble Forecasts (2015) (22)
- Improving Prediction Skill of Imperfect Turbulent Models Through Statistical Response and Information Theory (2016) (22)
- Precursor Environmental Conditions Associated with the Termination of Madden–Julian Oscillation Events (2014) (22)
- Nonlinear mean field-high frequency wave interactions in the induction zone (1987) (22)
- Asymmetric intraseasonal events in the stochastic skeleton MJO model with seasonal cycle (2015) (22)
- Low-dimensional reduced-order models for statistical response and uncertainty quantification: Barotropic turbulence with topography (2017) (21)
- An Equilibrium Statistical Theory for Large-Scale Features of Open-Ocean Convection (2000) (21)
- Model Error in Filtering Random Compressible Flows Utilizing Noisy Lagrangian Tracers (2016) (21)
- Crude closure dynamics through large scale statistical theories (1997) (21)
- An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments (1993) (21)
- New multi-scale models on mesoscales and squall lines (2010) (21)
- Intraseasonal multi-scale moist dynamics of the tropical atmosphere (2010) (20)
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- Report: Low Frequency Predictive Skill Despite Structural Instability and Model Error (2014) (0)
- Continuous and discrete Fourier series and numerical discretization (2012) (0)
- Filtering Complex Turbulent Systems: Filtering turbulent signals: Regularly spaced sparse observations (2012) (0)
- A Novel Method for Interpolating Station Rainfall Data using a Stochastic 2 Lattice Model (2017) (0)
- Filtering a stochastic complex scalar: The prototype test problem (2012) (0)
- The potential vorticity budget of the multi-scale models of the MJO (2012) (0)
- Vorticity and Incompressible Flow: Introduction to Vortex Sheets, Weak Solutions, and Approximate-Solution Sequences for the Euler Equation (2001) (0)
- Non-Gaussian Test Models for Prediction and State Estimation with Model Errors (2013) (0)
- Vorticity and Incompressible Flow: The Vorticity-Stream Formulation of the Euler and the Navier-Stokes Equations (2001) (0)
- Vorticity and Incompressible Flow: The Vlasov–Poisson Equations as an Analogy to the Euler Equations for the Study of Weak Solutions (2001) (0)
- Non-linear dynamics and statistical theories for basic geophysical flows: The response to large-scale forcing (2006) (0)
- Statistical Phase Transitions and Extreme Events in Shallow Water Waves with an Abrupt Depth Change (2019) (0)
- Note on the emergence of large scale coherent structure under small scale random bombardments : The discrete case (2007) (0)
- Ergodicity of Truncated Stochastic Navier Stokes with Deterministic Forcing and Dispersion (2016) (0)
- Mathematical Analysis of Strong Fluid Mechanical Effects at High Mach Number in Reactive and Nonreactive Flow (1992) (0)
- The Particle-Trajectory Method for Existence and Uniqueness of Solutions to the Euler Equation (2001) (0)
- Nonlinear development of acoustical instabilities in supersonic jets (1988) (0)
- Real Time Filtering and Parameter Estimation for Dynamical Systems With Many Degrees of Freedom (2009) (0)
- Multiscale Models for Deep Convection on Mesoscales (2005) (0)
- Book Review: Vorticity and turbulence (1996) (0)
- Minimal models for precipitating organized convection (2012) (0)
- Improving Prediction Skill of Imperfect Turbulent Models Through Statistical Response and Information Theory (2015) (0)
- 1 An Introduction to Vortex Dynamics for Incompressible Fluid Flows (0)
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