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1

Sensitivity of Functionals to Observation Data in a Variational Assimilation Problem for a Sea Thermodynamics Model

Shutyaev, V. P., Parmuzin, E. I.

Journal:

Numerical Analysis and Applications

Year:

2019

Language:

english

File:

PDF, 884 KB

english, 2019

2

Adjoint equations and analysis of complex systems: Application to virus infection modelling

G.I. Marchuk, V. Shutyaev, G. Bocharov

Journal:

Journal of Computational and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 423 KB

english, 2005

3

On optimal solution error covariances in variational data assimilation problems

I.Yu. Gejadze, F.-X. Le Dimet, V. Shutyaev

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 1.95 MB

english, 2010

4

Problems of variational assimilation of observational data for ocean general circulation models and methods for their solution

V. I. Agoshkov, V. M. Ipatova, V. B. Zalesnyi, E. I. Parmuzin, V. P. Shutyaev

Journal:

Izvestiya, Atmospheric and Oceanic Physics

Year:

2010

Language:

english

File:

PDF, 2.55 MB

english, 2010

5

Numerical solution of the problem on reconstructing the initial condition for a semilinear parabolic equation

Parmuzin, E. I., Shutyaev, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

2006

Language:

english

File:

PDF, 187 KB

english, 2006

6

Origin error in estimation of analysis error covariances in variational data assimilation

Shutyaev, V. P., Gejadze, I. Yu.

Journal:

Russian Journal of Mathematical Modelling

Year:

2013

Language:

english

File:

PDF, 110 KB

english, 2013

7

Numerical solution of the problem on reconstructing the initial condition for a semilinear parabolic equation

Parmuzin, E. I., Shutyaev, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

2006

Language:

english

File:

PDF, 269 KB

english, 2006

8

Numerical analysis of iterative methods for solving evolution data assimilation problems

PARMUZIN, E. I., SHUTYAEV, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

1999

Language:

english

File:

PDF, 1.57 MB

english, 1999

9

Numerical Simulation of Ocean Circulation with Ultrahigh Spatial Resolution

Korotaev, G. K., Shutyaev, V. P.

Journal:

Izvestiya, Atmospheric and Oceanic Physics

Year:

2020

File:

PDF, 979 KB

2020

10

Methods of remote surface chemical analysis for asteroid missions

R.Z. Sagdeev, G.G. Managadze, I.Yu. Shutyaev, K. Szegö, P.P. Timofeev

Journal:

Advances in Space Research

Year:

1985

Language:

english

File:

PDF, 817 KB

english, 1985

11

Perturbation method for a weakly nonlinear hyperbolic first order problem

Journal:

Mathematical Notes

Year:

1991

Language:

english

File:

PDF, 107 KB

english, 1991

12

Justification of perturbation algorithm in a nonlinear hyperbolic problem

Journal:

Mathematical Notes

Year:

1991

Language:

english

File:

PDF, 97 KB

english, 1991

13

The properties of control operators in one problem on data control and algorithms for its solution

Journal:

Mathematical Notes

Year:

1995

Language:

english

File:

PDF, 150 KB

english, 1995

14

Fundamental Control Functions and Error Analysis in Variational Data Assimilation

V. Shutyaev, F.-X. Le Dimet

Journal:

Pure and Applied Geophysics

Year:

2012

Language:

english

File:

PDF, 354 KB

english, 2012

15

Laser-ionization studies with the technical models of the LIMA-D/PHOBOS experiment

R. Pellinen, J. Piironen, J. Silén, R.Z. Sagdeev, G.G. Managadze, I. Shutyaev, P. Timofeev, A. Bondarenko, V. Ter-Mikaeliyan

Journal:

Advances in Space Research

Year:

1990

Language:

english

File:

PDF, 377 KB

english, 1990

16

Numerical algorithm for variational assimilation of sea surface temperature data

V. I. Agoshkov, E. I. Parmuzin, V. P. Shutyaev

Journal:

Computational Mathematics and Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 599 KB

english, 2008

17

Computation of the analysis error covariance in variational data assimilation problems with nonlinear dynamics

I.Yu. Gejadze, G.J.M. Copeland, F.-X. Le Dimet, V. Shutyaev

Journal:

Journal of Computational Physics

Year:

2011

Language:

english

File:

PDF, 4.32 MB

english, 2011

18

Adjoint equations and iterative algorithms in problems of variational data assimilation

G. I. Marchuk, V. P. Shutyaev

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2012

Language:

english

File:

PDF, 416 KB

english, 2012

19

On Computation of the Design Function Gradient for the Sensor-Location Problem in Variational Data Assimilation

Gejadze, I. Yu., Shutyaev, V.

Journal:

SIAM Journal on Scientific Computing

Year:

2012

Language:

english

File:

PDF, 553 KB

english, 2012

20

On Analysis Error Covariances in Variational Data Assimilation

Gejadze, I. Yu., Dimet, F.-X. Le, Shutyaev, V.

Journal:

SIAM Journal on Scientific Computing

Year:

2008

Language:

english

File:

PDF, 3.75 MB

english, 2008

21

On error analysis in variational data assimilation problem for a nonlinear convection–diffusion model

Parmuzin, E., Le Dimet, F.-X., Shutyaev, V.

Journal:

Russian Journal of Mathematical Modelling

Year:

2006

Language:

english

File:

PDF, 152 KB

english, 2006

22

On optimal solution error in variational data assimilation: theoretical aspects

Le Dimet, F.-X., Shutyaev, V., Gejadze, I.

Journal:

Russian Journal of Mathematical Modelling

Year:

2006

Language:

english

File:

PDF, 120 KB

english, 2006

23

Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion

Parmuzin, E.I., Shutyaev, V.P.

Journal:

Russian Journal of Mathematical Modelling

Year:

2005

Language:

english

File:

PDF, 136 KB

english, 2005

24

On optimal solution error covariances in variational data assimilation

Shutyaev, V., Le Dimet, F.-X., Gejadze, I.

Journal:

Russian Journal of Mathematical Modelling

Year:

2008

Language:

english

File:

PDF, 95 KB

english, 2008

25

Observational data assimilation in the problem of Black Sea circulation and sensitivity analysis of its solution

Agoshkov, V. I., Parmuzin, E. I., Shutyaev, V. P.

Journal:

Izvestiya, Atmospheric and Oceanic Physics

Year:

2013

Language:

english

File:

PDF, 790 KB

english, 2013

26

Data Assimilation for the Earth System ||

Swinbank, Richard, Shutyaev, Victor, Lahoz, William Albert

Year:

2003

Language:

english

File:

PDF, 42.60 MB

english, 2003

27

On gauss-verifiability of optimal solutions in variational data assimilation problems with nonlinear dynamics

Gejadze, I.Yu., Shutyaev, V.

Journal:

Journal of Computational Physics

Year:

2015

Language:

english

File:

PDF, 2.21 MB

english, 2015

28

NUMERICAL ANALYSIS OF THE FINITE ELEMENT METHOD APPLIED TO THE BOLTZMANN-POISSON SYSTEM

SHUTYAEV, V., TRUFANOV, O.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

1995

Language:

english

File:

PDF, 449 KB

english, 1995

29

NUMERICAL ANALYSIS OF ITERATIVE ALGORITHMS FOR AN INVERSE BOUNDARY TRANSPORT PROBLEM

AGOSHKOV, V. I., PARMUZIN, E. I., SHUTYAEV, V. P., BARDOS, C.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2000

Language:

english

File:

PDF, 531 KB

english, 2000

30

ITERATIVE ALGORITHMS FOR DATA ASSIMILATION PROBLEMS

MARCHUK, G., SHUTYAEV, V.

Journal:

Chinese Annals of Mathematics, Series B

Year:

2002

Language:

english

File:

PDF, 180 KB

english, 2002

31

Solvability and numerical algorithms for a class of variational data assimilation problems

Marchuk, Guri, Shutyaev, Victor

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2002

Language:

english

File:

PDF, 139 KB

english, 2002

32

A numerical algorithm of variational data assimilation for reconstruction of salinity fluxes on the ocean surface

Agoshkov, V. I., Parmuzin, E. I., Shutyaev, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

2008

Language:

english

File:

PDF, 643 KB

english, 2008

33

The problem of data assimilation for soil water movement

Le Dimet, François-Xavier, Shutyaev, Victor Petrovich, Wang, Jiafeng, Mu, Mu

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2004

Language:

english

File:

PDF, 211 KB

english, 2004

34

Reduced-space inverse Hessian for analysis error covariances in variational data assimilation

Shutyaev, V. P., Le Dimet, F.-X., Gejadze, I. Yu.

Journal:

Russian Journal of Mathematical Modelling

Year:

2010

Language:

english

File:

PDF, 156 KB

english, 2010

35

An algorithm for computing functionals for a class of nonlinear problems using the conjugate equation

SHUTYAEV, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

1991

Language:

english

File:

PDF, 963 KB

english, 1991

36

On error analysis in variational data assimilation problem for a nonlinear convection–diffusion model

Parmuzin, E., Dimet, F.-X. Le, Shutyaev, V.

Journal:

Russian Journal of Mathematical Modelling

Year:

2006

Language:

english

File:

PDF, 218 KB

english, 2006

37

Some algorithms for studying solution sensitivity in the problem of variational assimilation of observation data for a model of ocean thermodynamics

Shutyaev, V. P., Parmuzin, E. I.

Journal:

Russian Journal of Mathematical Modelling

Year:

2009

Language:

english

File:

PDF, 1.80 MB

english, 2009

38

The study of solution sensitivity for the variational observation data assimilation problem in the Black Sea dynamics model

Parmuzin, E. I., Shutyaev, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

2013

Language:

english

File:

PDF, 1.41 MB

english, 2013

39

Adjoint to the Hessian derivative and error covariances in variational data assimilation

Shutyaev, V. P., Gejadze, I. Yu.

Journal:

Russian Journal of Mathematical Modelling

Year:

2011

Language:

english

File:

PDF, 104 KB

english, 2011

40

Initial condition reconstruction problem for a viscous barotropic fluid dynamic equation on a sphere

Shutyaev, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

2002

Language:

english

File:

PDF, 130 KB

english, 2002

41

General sensitivity analysis in data assimilation

Le Dimet, Francois-Xavier, Shutyaev, Victor P., Tran, Thu Ha

Journal:

Russian Journal of Mathematical Modelling

Year:

2014

Language:

english

File:

PDF, 1.35 MB

english, 2014

42

A posteriori error covariances in variational data assimilation

Shutyaev, V. P., Le Dimet, F.-X., Gejadze, I. Yu.

Journal:

Russian Journal of Mathematical Modelling

Year:

2009

Language:

english

File:

PDF, 115 KB

english, 2009

43

Sensitivity analysis in models of spread of sexually transmitted infections with dynamic risk of infection

Nosova, Ekaterina A., Shutyaev, Victor P.

Journal:

Russian Journal of Mathematical Modelling

Year:

2014

Language:

english

File:

PDF, 226 KB

english, 2014

44

Iteration methods for solving a data assimilation problem

MARCHUK, G. I., SHUTYAEV, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

1994

Language:

english

File:

PDF, 1.54 MB

english, 1994

45

On optimal solution error in variational data assimilation: theoretical aspects

Dimet, F.-X. Le, Shutyaev, V., Gejadze, I.

Journal:

Russian Journal of Mathematical Modelling

Year:

2006

Language:

english

File:

PDF, 184 KB

english, 2006

46

Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion

Parmuzin, E. I., Shutyaev, V. P.

Journal:

Russian Journal of Mathematical Modelling

Year:

2005

Language:

english

File:

PDF, 156 KB

english, 2005

47

On error covariances in variational data assimilation

Gejadze, I., Dimet, F.-X. Le, Shutyaev, V.

Journal:

Russian Journal of Mathematical Modelling

Year:

2007

Language:

english

File:

PDF, 274 KB

english, 2007

48

Numerical solution of a variational data assimilation problem for a 3D ocean thermohydrodynamics model with a nonlinear vertical heat exchange

Parmuzin, E. I., Shutyaev, V. P., Diansky, N. A.

Journal:

Russian Journal of Mathematical Modelling

Year:

2007

Language:

english

File:

PDF, 4.58 MB

english, 2007

49

On error analysis in data assimilation problems

Dimet, F.-X. Le, Ngnepieba, P., Shutyaev, V.

Journal:

Russian Journal of Mathematical Modelling

Year:

2002

Language:

english

File:

PDF, 210 KB

english, 2002

50

On data assimilation for quasilinear parabolic problems

Le Dimet, F.-X., Shutyaev, V.

Journal:

Russian Journal of Mathematical Modelling

Year:

2001

Language:

english

File:

PDF, 174 KB

english, 2001

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