Shutyaev Victor Petrovich

Publications in Math-Net.Ru

1. A fast numerical method for the source reconstruction in the coagulation-fragmentation equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:7 (2025),  1091–1109
2. Methods of variational assimilation of observation data in problems of geophysical hydrodynamics
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:6 (2025),  985–998
3. Sensitivity of functionals to input data in a variational assimilation problem for the sea thermodynamics model
   
   Sib. Zh. Vychisl. Mat., 27:1 (2024),  97–112
4. Sensitivity of the functionals of the variational data assimilation problem when reconstructing the initial state and heat flux for a model of sea thermodynamics
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024),  176–186
5. Data assimilation for the two-dimensional ambipolar diffusion equation in Earth’s ionosphere model
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:5 (2023),  803–826
6. Sensitivity of functionals of the solution to the variational assimilation problem to the input data on the heat flux for a model of sea thermodynamics
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023),  657–666
7. Sensitivity of functionals of the solution of a variational data assimilation problem with simultaneous reconstruction of heat fluxes and the initial state for the sea thermodynamics model
   
   Sib. Zh. Vychisl. Mat., 23:4 (2020),  457–470
8. Sensitivity of functionals to observation data in a variational assimilation problem for the sea thermodynamics model
   
   Sib. Zh. Vychisl. Mat., 22:2 (2019),  229–242
9. Stability of the optimal solution to the problem of variational assimilation with error covariance matrices of observational data for the sea thermodynamics model
   
   Sib. Zh. Vychisl. Mat., 21:2 (2018),  225–242
10. Adjoint equations and iterative algorithms in problems of variational data assimilation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  136–150
11. Numerical algorithm for variational assimilation of sea surface temperature data
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:8 (2008),  1371–1391
12. On the solvability of an initial-boundary value problem for a quasilinear heat equation
    
    Differ. Uravn., 35:6 (1999),  809–812
13. An optimal control problem of initial data restoration
    
    Zh. Vychisl. Mat. Mat. Fiz., 39:9 (1999),  1479–1488
14. On data assimilation in a scale of Hilbert spaces for quasilinear evolution problems
    
    Differ. Uravn., 34:3 (1998),  383–389
15. Substantiation of the perturbation method for a quasilinear heat-conduction problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998),  948–955
16. Iterative method for initial-data reconstruction in singularly perturbed evolutionary problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:9 (1997),  1078–1086
17. Algorithms for solving a problem of data assimilation
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:7 (1997),  816–827
18. Some properties of a control operator in the problem of data assimilation, and algorithms for its solution
    
    Differ. Uravn., 31:12 (1995),  2063–2069
19. The properties of control operators in one problem on data control and algorithms for its solution
    
    Mat. Zametki, 57:6 (1995),  941–944
20. Perturbation algorithm for one slightly nonlinear first-order hyperbolic problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:8 (1993),  1209–1217
21. Properties of a solution of a conjugate equation in a nonlinear hyperbolic problem
    
    Differ. Uravn., 28:4 (1992),  706–715
22. Perturbation method for a weakly nonlinear hyperbolic first order problem
    
    Mat. Zametki, 50:5 (1991),  156–158
23. Justification of perturbation algorithm in a nonlinear hyperbolic problem
    
    Mat. Zametki, 49:4 (1991),  155–156
24. Computation of a functional in a certain nonlinear problem using the adjoint equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 31:9 (1991),  1278–1288