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1

Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers-Hopf equation

Rafail V. Abramov, Gregor Kovačič, Andrew J. Majda

Journal:

Communications on Pure and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 545 KB

english, 2003

2

Quantifying predictability through information theory: small sample estimation in a non-Gaussian framework

Kyle Haven, Andrew Majda, Rafail Abramov

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 693 KB

english, 2005

3

A practical computational framework for the multidimensional moment-constrained maximum entropy principle

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 443 KB

english, 2006

4

An improved algorithm for the multidimensional moment-constrained maximum entropy problem

Rafail V. Abramov

Journal:

Journal of Computational Physics

Year:

2007

Language:

english

File:

PDF, 1.55 MB

english, 2007

5

The multidimensional moment-constrained maximum entropy problem: A BFGS algorithm with constraint scaling

Rafail V. Abramov

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 1.25 MB

english, 2009

6

Approximate linear response for slow variables of dynamics with explicit time scale separation

Rafail V. Abramov

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 347 KB

english, 2010

7

New Approximations and Tests of Linear Fluctuation-Response for Chaotic Nonlinear Forced-Dissipative Dynamical Systems

Rafail V. Abramov, Andrew J. Majda

Journal:

Journal of Nonlinear Science

Year:

2008

Language:

english

File:

PDF, 1.19 MB

english, 2008

8

Short-time linear response with reduced-rank tangent map

Rafail V. Abramov

Journal:

Chinese Annals of Mathematics, Series B

Year:

2009

Language:

english

File:

PDF, 253 KB

english, 2009

9

Low-Frequency Climate Response of Quasigeostrophic Wind-Driven Ocean Circulation

Abramov, Rafail V., Majda, Andrew J.

Journal:

Journal of Physical Oceanography

Year:

2012

Language:

english

File:

PDF, 1.80 MB

english, 2012

10

Improved linear response for stochastically driven systems

Rafail V. Abramov

Journal:

Frontiers of Mathematics in China

Year:

2012

Language:

english

File:

PDF, 653 KB

english, 2012

11

Quantifying Uncertainty for Non-Gaussian Ensembles in Complex Systems

Abramov, Rafail V., Majda, Andrew J.

Journal:

SIAM Journal on Scientific Computing

Year:

2004

Language:

english

File:

PDF, 532 KB

english, 2004

12

A Simple Linear Response Closure Approximation for Slow Dynamics of a Multiscale System with Linear Coupling

Abramov, Rafail V.

Journal:

Multiscale Modeling and Simulation

Year:

2012

Language:

english

File:

PDF, 360 KB

english, 2012

13

A Simple Closure Approximation for Slow Dynamics of a Multiscale System: Nonlinear and Multiplicative Coupling

Abramov, Rafail V.

Journal:

Multiscale Modeling and Simulation

Year:

2013

Language:

english

File:

PDF, 306 KB

english, 2013

14

Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems

Abramov, Rafail V, Majda, Andrew J

Journal:

Year:

2007

Language:

english

File:

PDF, 3.13 MB

english, 2007

15

A New Algorithm for Low-Frequency Climate Response

Abramov, Rafail V., Majda, Andrew J.

Journal:

Journal of the Atmospheric Sciences

Year:

2009

Language:

english

File:

PDF, 3.67 MB

english, 2009

16

High Skill in Low-Frequency Climate Response through Fluctuation Dissipation Theorems despite Structural Instability

Andrew J. Majda, Rafail Abramov and Boris Gershgorin

Journal:

Proceedings of the National Academy of Sciences

Year:

2010

Language:

english

File:

PDF, 1.16 MB

english, 2010

17

Information Theory and Predictability for Low-Frequency Variability

Abramov, Rafail, Majda, Andrew, Kleeman, Richard

Journal:

Journal of the Atmospheric Sciences

Year:

2005

Language:

english

File:

PDF, 634 KB

english, 2005

18

Leading Order Response of Statistical Averages of a Dynamical System to Small Stochastic Perturbations

Abramov, Rafail V.

Journal:

Journal of Statistical Physics

Year:

2017

Language:

english

File:

PDF, 925 KB

english, 2017

19

Diffusive Boltzmann equation, its fluid dynamics, Couette flow and Knudsen layers

Abramov, Rafail V.

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2017

Language:

english

File:

PDF, 1023 KB

english, 2017

20

Gas Near a Wall: Shortened Mean Free Path, Reduced Viscosity, and the Manifestation of the Knudsen Layer in the Navier–Stokes Solution of a Shear Flow

Abramov, Rafail V.

Journal:

Journal of Nonlinear Science

Year:

2017

Language:

english

File:

PDF, 590 KB

english, 2017

21

Nonequilibrium diffusive gas dynamics: Poiseuille microflow

Abramov, Rafail V., Otto, Jasmine T.

Journal:

Physica D: Nonlinear Phenomena

Year:

2018

Language:

english

File:

PDF, 2.96 MB

english, 2018

22

A Simple Stochastic Parameterization for Reduced Models of Multiscale Dynamics

Abramov, Rafail

Journal:

Year:

2015

Language:

english

File:

PDF, 391 KB

english, 2015

23

The Random Gas of Hard Spheres

Abramov, Rafail

Journal:

Year:

2019

File:

PDF, 578 KB

2019

24

Turbulent Energy Spectrum via an Interaction Potential

Abramov, Rafail V.

Journal:

Journal of Nonlinear Science

Year:

2020

File:

PDF, 655 KB

2020

25

Correction: Abramov, R. The Random Gas of Hard Spheres. J 2019, 2, 162â205

Abramov, Rafail V.

Journal:

Year:

2020

File:

PDF, 578 KB

2020