## Agoshkov, Valeriĭ Ivanovich

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 Author ID: agoshkov.valery-ivanovich Published as: Agoshkov, V. I.; Agoshkov, Valery I.; Agoshkov, V.; Agoshkov, Valeriy I.; Agoshkov, Valery; Agoshkov, Valeri I.; Agoshkov, Valeri Further Spellings: Агошков Валерий Иванович External Links: MGP · ORCID · Math-Net.Ru
 Documents Indexed: 118 Publications since 1977, including 13 Books 4 Contributions as Editor Biographic References: 1 Publication Co-Authors: 55 Co-Authors with 83 Joint Publications 966 Co-Co-Authors
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### Co-Authors

 37 single-authored 22 Shutyaev, Victor Petrovich 16 Marchuk, Guriĭ Ivanovich 11 Parmuzin, Eugene I. 8 Ipatova, V. M. 8 Zakharova, Natalia B. 7 Lebedev, Vyacheslav Ivanovich 7 Quarteroni, Alfio M. 6 Saleri, Fausto 6 Zalesny, Vladimir Borisovich 5 Sheloput, Tatiana O. 3 Assovskii, Maksim V. 3 Bardos, Claude Williams 3 Buleev, S. N. 3 Gusev, Anatoly V. 2 Ambrosi, Davide 2 Aps, Robert 2 Botvinovskii, E. A. 2 Diansky, Nikolay A. 2 Gervasio, Paola 2 Kujala, Pentti 2 Lezina, Natalia R. 2 Pennati, Vincenzo 2 Rozza, Gianluigi 2 Rytkönen, Jorma 1 Aseev, Nikita A. 1 Baburin, O. V. 1 Bagno, A. V. 1 Baiocchi, Claudio 1 Bakhvalov, Nikolai Sergeevich 1 Capelo, Antonio Candido 1 Dubovski, P. B. 1 Dubovskii, Pavel B. 1 Dymnikov, Valentin Pavlovich 1 Grebennikov, Dmitry S. 1 Ipatov, V. M. 1 Knyazev, Andrew V. 1 Kobel’kov, Georgiĭ Mikhaĭlovich 1 Kostrykin, Sergey V. 1 Kuznetsov, Yurii Alekseevich 1 Lebedev, S. A. 1 Lobarev, I. V. 1 Maggio, Fabio 1 Minuk, F. P. 1 Moshonkin, S. N. 1 Novikov, Ivan Sergeevich 1 Oleinikov, R. V. 1 Ovchinnikov, E. Eh. 1 Popykin, A. I. 1 Quateroni, Alfio 1 Rakhuba, Maxim V. 1 Rusakov, A. S. 1 Semenenko, A. Yu. 1 Shikhov, S. B. 1 Smelov, V. V. 1 Tamsalu, Rein 1 Volodin, Evgenii M. 1 Zayachkovskiy, Anton O.
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### Serials

 39 Russian Journal of Numerical Analysis and Mathematical Modelling 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Soviet Journal of Numerical Analysis and Mathematical Modelling 4 Computational Mathematics and Mathematical Physics 3 Differential Equations 3 Soviet Mathematics. Doklady 3 Vychislitel’nye Protsessy i Sistemy 2 SIAM Journal on Numerical Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Doklady Mathematics 2 Computational Methods in Applied Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Computation 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Journal of Scientific Computing 1 Computer Mathematics and its Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Differential Equations 1 Matematicheskoe Modelirovanie 1 Mediterranean Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Seminara Metody Vychislitel’noĭ i Prikladnoĭ Matematiki 1 Matematicheskie Zametki SVFU 1 Modeling and Simulation in Science, Engineering and Technology
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### Fields

 73 Numerical analysis (65-XX) 50 Partial differential equations (35-XX) 33 Geophysics (86-XX) 32 Fluid mechanics (76-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 17 Integral equations (45-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Operator theory (47-XX) 5 Astronomy and astrophysics (85-XX) 5 Systems theory; control (93-XX) 4 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

69 Publications have been cited 422 times in 302 Documents Cited by Year
Introduction to projection-grid methods. (Vvedenie v proektsionno- setochnye metody). Zbl 0642.65037
Marchuk, G. I.; Agoshkov, V. I.
1981
Boundary value problems for transport equations. Zbl 0914.35001
Agoshkov, Valeri
1998
Optimal control methods and the method of adjoint equations in problems of mathematical physics. (Методы оптимального управления и сопряженных уравнений в задачах математической физики.) Zbl 1236.49002
Agoshkov, V. I.
2003
Conjugate equations and perturbation algorithms in nonlinear problems of mathematical physics. (Sopryazhennye uravneniya i algoritmy vozmushchenij v nelinejnykh zadachakh matematicheskoj fiziki.) Zbl 0828.47053
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1991
Poincaré-Steklov operators and methods for separation of a domain in variational problems. Zbl 0596.35030
Agoshkov, V. I.; Lebedev, V. I.
1985
Poincaré-Steklov’s operators and domain decomposition methods in finite dimensional spaces. Zbl 0683.65097
Agoshkov, V. I.
1988
On the solvability and numerical solution of data assimilation problems. Zbl 0818.65056
Agoshkov, V. I.; Marchuk, G. I.
1993
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
Spaces of functions with differential-difference characteristics and smoothness of solutions of the transport equation. Zbl 0599.35009
Agoshkov, V. I.
1984
Poincaré-Steklov operators and their applications in analysis. (Operatory Puankare-Steklova i ikh prilozheniya v analize). Zbl 0547.47029
Lebedev, V. I.; Agoshkov, V. I.
1983
Mathematical and numerical modelling of shallow water flow. Zbl 0771.76032
Agoshkov, V. I.; Ambrosi, D.; Pennati, V.; Quarteroni, A.; Saleri, F.
1993
Variational and quasivariational inequalities. Applications to free boundary problems. Transl. from the English by V. I. Agoshkov, E. Eh. Ovchinnikov and V. P. Shutyaev. Transl. ed. by V. I. Agoshkov. (Вариационные и квазивариационные неравенства. Приложения к задачам со свободной границей.) Zbl 0671.49002
Baiocchi, Claudio; Capelo, Antonio
1988
Recent developments in the numerical simulation of shallow water equations. I: Boundary conditions. Zbl 0833.76008
Agoshkov, V. I.; Quarteroni, A.; Saleri, F.
1994
Conjugate equations and perturbation methods in nonlinear problems of mathematical physics. (Sopryazhennye uravneniya i metody vozmushchenij v nelinejnykh zadachakh matematicheskoj fiziki.) Zbl 0869.47036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1993
Numerical algorithm for variational assimilation of sea surface temperature data. Zbl 1199.86004
Agoshkov, V. I.; Parmuzin, E. I.; Shutyaev, V. P.
2008
Generalized solutions of the transport equation and characteristics of their smoothness. (Obobshchennye resheniya uravneniya perenosa i svojstva ikh gladkosti). Ed. by G. I. Marchuk. (Obobshchennye resheniya uravneniya perenosa i svojstva ikh gladkosti.) Zbl 0664.35070
Agoshkov, V. I.
1988
A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
Numerical analysis of iterative algorithms for an inverse boundary transport problem. Zbl 1010.82035
Agoshkov, V. I.; Parmuzin, E. I.; Shutyaev, V. P.; Bardos, C.
2000
Adjoint equations and perturbation algorithms in nonlinear problems. Zbl 1435.65008
Marchuk, Guri I.; Agoshkov, Valeri I.; Shutyaev, Victor P.
1996
An algorithm for the solution of the ocean hydrothermodynamics problem with variational assimilation of the sea level function data. Zbl 1388.86001
Agoshkov, V. I.; Gusev, A. V.; Diansky, N. A.; Oleinikov, R. V.
2007
Optimal control in heterogeneous domain decomposition methods for advection-diffusion equations. Zbl 1117.65164
Agoshkov, Valery; Gervasio, Paola; Quarteroni, Alfio
2006
Solvability of the altimeter data assimilation problem in the quasi-geostrophic multilayer model of ocean circulation. Zbl 0954.49029
Agoshkov, V. I.; Ipatova, V. M.
1997
A new interpolation method for observation data obtained from ARGO buoys system. Zbl 1260.86002
Zakharova, N. B.; Agoshkov, V. I.; Parmuzin, E. I.
2013
Study and solution of identification problems for nonstationary 2D and 3D convection-diffusion equations. Zbl 1067.65099
Agoshkov, V. I.; Minuk, F. P.; Rusakov, A. S.; Zalesny, V. B.
2005
Optimal control approach in inverse radiative transfer problems: The problem on boundary function. Zbl 0957.49018
Agoshkov, Valeri I.; Bardos, Claude
2000
Solution of the Stokes problem as an inverse problem. Zbl 1011.35128
Agoshkov, V.; Bardos, C.; Buleev, S.
2002
Generalized Schwarz algorithm with variable parameters. Zbl 0816.65091
Agoshkov, V. I.; Lebedev, V. I.
1990
Numerical solution of a hyperbolic-parabolic system by splitting methods and optimal control approaches. Zbl 1124.65071
Agoshkov, V. I.; Botvinovsky, E. A.
2007
Inverse problems of the mathematical theory of tides: boundary-function problem. Zbl 1112.86003
Agoshkov, V. I.
2005
An inverse problem of transport theory and properties of the reflection operator. Zbl 0804.35141
Agoshkov, V. I.
1991
The study and numerical solution of the problem of heat and salinity transfer assuming “liquid” boundaries. Zbl 1346.49045
Agoshkov, Valery I.; Sheloput, Tatiana O.
2016
Conjugate equations and perturbation algorithms. (Sopryazhennye uravneniya i algoritmy vozmushchenij.) Zbl 0727.65036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1986
Numerical simulation of large-scale ocean circulation based on the multicomponent splitting method. Zbl 1203.86007
Zalesny, V. B.; Marchuk, G. I.; Agoshkov, V. I.; Bagno, A. V.; Gusev, A. V.; Diansky, N. A.; Moshonkin, S. N.; Tamsalu, R.; Volodin, E. M.
2010
Recent developments in the numerical simulation of shallow water equations. II: Temporal discretization. Zbl 0817.76068
Agoshkov, V.; Ovchinnikov, E.; Quateroni, A.; Saleri, F.
1994
On the existence of traces of functions in spaces used in transport theory problems. Zbl 0636.46038
Agoshkov, V. I.
1986
Solvability of the observation data assimilation problem in the three-dimensional model of ocean dynamics. Zbl 1181.86004
Agoshkov, V. I.; Ipatova, V. M.
2007
Reflection operators and domain decomposition methods in transport theory problems. Zbl 0825.65110
Agoshkov, V. I.
1987
Conjugate operators and algorithms of perturbation in nonlinear problems. I: Principles of construction of conjugate operators. Zbl 0825.65044
Marchuk, G. I.; Agoshkov, V. I.
1988
Control theory approaches in data assimilation processes, inverse problems and hydrodynamics. Zbl 0858.65100
Agoshkov, V.
1994
Finite element, finite volume and finite differences approximation to shallow water equations. Zbl 0900.76258
Agoshkov, V.; Ovtchinnikov, E.; Pennati, V.; Ambrosi, D.; Saleri, F.
1993
Parallel algorithms for the solution of some stationary problems of mathematical physics. (Parallel’nye algoritmy resheniya nekotorykh statsionarnykh zadach matematicheskoj fiziki). Zbl 0596.65064
Lebedev, V. I.; Bakhvalov, N. S.; Agoshkov, V. I.; Baburin, O. V.; Knyazev, A. V.; Shutyaev, V. P.
1984
Kinetic equations and variational principles. Zbl 0471.45007
Marchuk, G. I.; Agoshkov, V. I.
1981
Variational assimilation of observation data in the mathematical model of the Baltic Sea dynamics. Zbl 1322.49052
Agoshkov, Valeriy I.; Parmuzin, Eugene I.; Zalesny, Vladimir B.; Shutyaev, Victor P.; Zakharova, Natalia B.; Gusev, Anatoly V.
2015
Domain decomposition method: Some results of theory and applications. Zbl 0766.65054
Agoshkov, V. I.
1991
On extension with preservation of smoothness class and on existence of traces of functions in spaces used in particle transport theory. Zbl 0709.46506
Agoshkov, V. I.
1989
Analysis and numerical solution of an inverse problem of modeling circulation in water areas with ‘liquid’ boundaries. Zbl 1374.86005
Agoshkov, V. I.; Grebennikov, D. S.; Sheloput, T. O.
2015
Statement and study of some inverse problems in modelling of hydrophysical fields for water areas with ‘liquid’ boundaries. Zbl 1366.49039
Agoshkov, Valery I.
2017
The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries. Zbl 1369.49042
Agoshkov, Valery I.; Sheloput, Tatiana O.
2017
Spectrum bounds for some operators. Zbl 1180.76064
Agoshkov, V. I.
2009
Variational algorithms of the domain decomposition method. Zbl 0816.65092
Agoshkov, V. I.; Lebedev, V. I.
1990
Numerical solution of the variational assimilation problem for sea surface temperature in the model of the Black Sea dynamics. Zbl 1242.86006
Parmuzin, E. I.; Agoshkov, V. I.
2012
Inverse problems of the mathematical theory of tides: Tide potential problem for a semi-discrete model. Zbl 1116.76084
Agoshkov, V. I.
2007
Study of variational data assimilation problem for a model of tide dynamics in adjacent seas. Zbl 1102.76013
Agoshkov, V. I.; Ipatova, V. M.
2006
Numerical simulation of general world ocean dynamics subject to tide-forming forces. Zbl 1215.86002
Assovskii, M. V.; Agoshkov, V. I.
2011
Optimal control in heterogeneous domain decomposition methods. Zbl 1075.65088
Agoshkov, V. I.; Gervasio, P.; Quarteroni, A.
2005
Reflection operators and contemporary applications to radiative transfer. Zbl 0831.65146
Marchuk, G. I.; Agoshkov, V. I.
1995
Domain decomposition methods using modified basis functions. Zbl 0796.65128
Agoshkov, V. I.
1994
Solution of the reconstruction problem of a source function in the coagulation-fragmentation equation. Zbl 1013.65145
Agoshkov, V. I.; Dubovski, P. B.
2002
Modified finite element approximation to shallow water equations and stability results. Zbl 0871.76038
Agoshkov, V.; Quarteroni, A.; Saleri, F.
1993
Application of mathematical methods for solving the problem of liquid boundary conditions in hydrodynamics. Zbl 0900.76478
Agoshkov, V. I.
1996
Estimates of spectrum bounds for some operators in geophysical hydrodynamics. Zbl 1151.76034
Agoshkov, V. I.
2008
Domain decomposition methods in problems of mathematical physics. Zbl 0757.65122
Agoshkov, V. I.
1991
Methods of variational data assimilation with application to problems of hydrothermodynamics of marine water areas. Zbl 1447.49063
Agoshkov, Valery I.; Lezina, Natalia R.; Parmuzin, Eugene I.; Sheloput, Tatiana O.; Shutyaev, Victor P.; Zakharova, Natalia B.
2020
Domain decomposition methods in problems of hydrodynamics. Zbl 0678.76039
Agoshkov, V. I.
1986
Recent developments in the numerical simulation of shallow water equations. III: Boundary conditions and finite element approximations in the river flow calculations. Zbl 1063.76590
Agoshkov, V. I.; Saleri, F.
1996
Optimal control methods in inverse problems and computational processes. Zbl 0986.35123
Agoshkov, V. I.
2001
Theory of solvability of boundary value problems and data assimilation problems for ocean dynamics equations. Zbl 1205.86014
Ipatova, V. M.; Agoshkov, V. I.; Kobelkov, G. M.; Zalesny, V. B.
2010
Projection domain decomposition method. Zbl 0824.65123
Agoshkov, V. I.; Ovchinnikov, E.
1994
Variational assimilation with covariance matrices of observation data errors for the model of the Baltic Sea dynamics. Zbl 1391.49036
Agoshkov, Valery I.; Parmuzin, Eugene I.; Zakharova, Natalia B.; Shutyaev, Victor P.
2018
Methods of variational data assimilation with application to problems of hydrothermodynamics of marine water areas. Zbl 1447.49063
Agoshkov, Valery I.; Lezina, Natalia R.; Parmuzin, Eugene I.; Sheloput, Tatiana O.; Shutyaev, Victor P.; Zakharova, Natalia B.
2020
Variational assimilation with covariance matrices of observation data errors for the model of the Baltic Sea dynamics. Zbl 1391.49036
Agoshkov, Valery I.; Parmuzin, Eugene I.; Zakharova, Natalia B.; Shutyaev, Victor P.
2018
Statement and study of some inverse problems in modelling of hydrophysical fields for water areas with ‘liquid’ boundaries. Zbl 1366.49039
Agoshkov, Valery I.
2017
The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries. Zbl 1369.49042
Agoshkov, Valery I.; Sheloput, Tatiana O.
2017
The study and numerical solution of the problem of heat and salinity transfer assuming “liquid” boundaries. Zbl 1346.49045
Agoshkov, Valery I.; Sheloput, Tatiana O.
2016
Variational assimilation of observation data in the mathematical model of the Baltic Sea dynamics. Zbl 1322.49052
Agoshkov, Valeriy I.; Parmuzin, Eugene I.; Zalesny, Vladimir B.; Shutyaev, Victor P.; Zakharova, Natalia B.; Gusev, Anatoly V.
2015
Analysis and numerical solution of an inverse problem of modeling circulation in water areas with ‘liquid’ boundaries. Zbl 1374.86005
Agoshkov, V. I.; Grebennikov, D. S.; Sheloput, T. O.
2015
A new interpolation method for observation data obtained from ARGO buoys system. Zbl 1260.86002
Zakharova, N. B.; Agoshkov, V. I.; Parmuzin, E. I.
2013
Numerical solution of the variational assimilation problem for sea surface temperature in the model of the Black Sea dynamics. Zbl 1242.86006
Parmuzin, E. I.; Agoshkov, V. I.
2012
Numerical simulation of general world ocean dynamics subject to tide-forming forces. Zbl 1215.86002
Assovskii, M. V.; Agoshkov, V. I.
2011
Numerical simulation of large-scale ocean circulation based on the multicomponent splitting method. Zbl 1203.86007
Zalesny, V. B.; Marchuk, G. I.; Agoshkov, V. I.; Bagno, A. V.; Gusev, A. V.; Diansky, N. A.; Moshonkin, S. N.; Tamsalu, R.; Volodin, E. M.
2010
Theory of solvability of boundary value problems and data assimilation problems for ocean dynamics equations. Zbl 1205.86014
Ipatova, V. M.; Agoshkov, V. I.; Kobelkov, G. M.; Zalesny, V. B.
2010
Spectrum bounds for some operators. Zbl 1180.76064
Agoshkov, V. I.
2009
Numerical algorithm for variational assimilation of sea surface temperature data. Zbl 1199.86004
Agoshkov, V. I.; Parmuzin, E. I.; Shutyaev, V. P.
2008
Estimates of spectrum bounds for some operators in geophysical hydrodynamics. Zbl 1151.76034
Agoshkov, V. I.
2008
An algorithm for the solution of the ocean hydrothermodynamics problem with variational assimilation of the sea level function data. Zbl 1388.86001
Agoshkov, V. I.; Gusev, A. V.; Diansky, N. A.; Oleinikov, R. V.
2007
Numerical solution of a hyperbolic-parabolic system by splitting methods and optimal control approaches. Zbl 1124.65071
Agoshkov, V. I.; Botvinovsky, E. A.
2007
Solvability of the observation data assimilation problem in the three-dimensional model of ocean dynamics. Zbl 1181.86004
Agoshkov, V. I.; Ipatova, V. M.
2007
Inverse problems of the mathematical theory of tides: Tide potential problem for a semi-discrete model. Zbl 1116.76084
Agoshkov, V. I.
2007
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
Optimal control in heterogeneous domain decomposition methods for advection-diffusion equations. Zbl 1117.65164
Agoshkov, Valery; Gervasio, Paola; Quarteroni, Alfio
2006
Study of variational data assimilation problem for a model of tide dynamics in adjacent seas. Zbl 1102.76013
Agoshkov, V. I.; Ipatova, V. M.
2006
Study and solution of identification problems for nonstationary 2D and 3D convection-diffusion equations. Zbl 1067.65099
Agoshkov, V. I.; Minuk, F. P.; Rusakov, A. S.; Zalesny, V. B.
2005
Inverse problems of the mathematical theory of tides: boundary-function problem. Zbl 1112.86003
Agoshkov, V. I.
2005
Optimal control in heterogeneous domain decomposition methods. Zbl 1075.65088
Agoshkov, V. I.; Gervasio, P.; Quarteroni, A.
2005
Optimal control methods and the method of adjoint equations in problems of mathematical physics. (Методы оптимального управления и сопряженных уравнений в задачах математической физики.) Zbl 1236.49002
Agoshkov, V. I.
2003
Solution of the Stokes problem as an inverse problem. Zbl 1011.35128
Agoshkov, V.; Bardos, C.; Buleev, S.
2002
Solution of the reconstruction problem of a source function in the coagulation-fragmentation equation. Zbl 1013.65145
Agoshkov, V. I.; Dubovski, P. B.
2002
Optimal control methods in inverse problems and computational processes. Zbl 0986.35123
Agoshkov, V. I.
2001
Numerical analysis of iterative algorithms for an inverse boundary transport problem. Zbl 1010.82035
Agoshkov, V. I.; Parmuzin, E. I.; Shutyaev, V. P.; Bardos, C.
2000
Optimal control approach in inverse radiative transfer problems: The problem on boundary function. Zbl 0957.49018
Agoshkov, Valeri I.; Bardos, Claude
2000
Boundary value problems for transport equations. Zbl 0914.35001
Agoshkov, Valeri
1998
Solvability of the altimeter data assimilation problem in the quasi-geostrophic multilayer model of ocean circulation. Zbl 0954.49029
Agoshkov, V. I.; Ipatova, V. M.
1997
Adjoint equations and perturbation algorithms in nonlinear problems. Zbl 1435.65008
Marchuk, Guri I.; Agoshkov, Valeri I.; Shutyaev, Victor P.
1996
Application of mathematical methods for solving the problem of liquid boundary conditions in hydrodynamics. Zbl 0900.76478
Agoshkov, V. I.
1996
Recent developments in the numerical simulation of shallow water equations. III: Boundary conditions and finite element approximations in the river flow calculations. Zbl 1063.76590
Agoshkov, V. I.; Saleri, F.
1996
Reflection operators and contemporary applications to radiative transfer. Zbl 0831.65146
Marchuk, G. I.; Agoshkov, V. I.
1995
Recent developments in the numerical simulation of shallow water equations. I: Boundary conditions. Zbl 0833.76008
Agoshkov, V. I.; Quarteroni, A.; Saleri, F.
1994
Recent developments in the numerical simulation of shallow water equations. II: Temporal discretization. Zbl 0817.76068
Agoshkov, V.; Ovchinnikov, E.; Quateroni, A.; Saleri, F.
1994
Control theory approaches in data assimilation processes, inverse problems and hydrodynamics. Zbl 0858.65100
Agoshkov, V.
1994
Domain decomposition methods using modified basis functions. Zbl 0796.65128
Agoshkov, V. I.
1994
Projection domain decomposition method. Zbl 0824.65123
Agoshkov, V. I.; Ovchinnikov, E.
1994
On the solvability and numerical solution of data assimilation problems. Zbl 0818.65056
Agoshkov, V. I.; Marchuk, G. I.
1993
Mathematical and numerical modelling of shallow water flow. Zbl 0771.76032
Agoshkov, V. I.; Ambrosi, D.; Pennati, V.; Quarteroni, A.; Saleri, F.
1993
Conjugate equations and perturbation methods in nonlinear problems of mathematical physics. (Sopryazhennye uravneniya i metody vozmushchenij v nelinejnykh zadachakh matematicheskoj fiziki.) Zbl 0869.47036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1993
Finite element, finite volume and finite differences approximation to shallow water equations. Zbl 0900.76258
Agoshkov, V.; Ovtchinnikov, E.; Pennati, V.; Ambrosi, D.; Saleri, F.
1993
Modified finite element approximation to shallow water equations and stability results. Zbl 0871.76038
Agoshkov, V.; Quarteroni, A.; Saleri, F.
1993
Conjugate equations and perturbation algorithms in nonlinear problems of mathematical physics. (Sopryazhennye uravneniya i algoritmy vozmushchenij v nelinejnykh zadachakh matematicheskoj fiziki.) Zbl 0828.47053
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1991
An inverse problem of transport theory and properties of the reflection operator. Zbl 0804.35141
Agoshkov, V. I.
1991
Domain decomposition method: Some results of theory and applications. Zbl 0766.65054
Agoshkov, V. I.
1991
Domain decomposition methods in problems of mathematical physics. Zbl 0757.65122
Agoshkov, V. I.
1991
Generalized Schwarz algorithm with variable parameters. Zbl 0816.65091
Agoshkov, V. I.; Lebedev, V. I.
1990
Variational algorithms of the domain decomposition method. Zbl 0816.65092
Agoshkov, V. I.; Lebedev, V. I.
1990
On extension with preservation of smoothness class and on existence of traces of functions in spaces used in particle transport theory. Zbl 0709.46506
Agoshkov, V. I.
1989
Poincaré-Steklov’s operators and domain decomposition methods in finite dimensional spaces. Zbl 0683.65097
Agoshkov, V. I.
1988
Variational and quasivariational inequalities. Applications to free boundary problems. Transl. from the English by V. I. Agoshkov, E. Eh. Ovchinnikov and V. P. Shutyaev. Transl. ed. by V. I. Agoshkov. (Вариационные и квазивариационные неравенства. Приложения к задачам со свободной границей.) Zbl 0671.49002
Baiocchi, Claudio; Capelo, Antonio
1988
Generalized solutions of the transport equation and characteristics of their smoothness. (Obobshchennye resheniya uravneniya perenosa i svojstva ikh gladkosti). Ed. by G. I. Marchuk. (Obobshchennye resheniya uravneniya perenosa i svojstva ikh gladkosti.) Zbl 0664.35070
Agoshkov, V. I.
1988
Conjugate operators and algorithms of perturbation in nonlinear problems. I: Principles of construction of conjugate operators. Zbl 0825.65044
Marchuk, G. I.; Agoshkov, V. I.
1988
Reflection operators and domain decomposition methods in transport theory problems. Zbl 0825.65110
Agoshkov, V. I.
1987
Conjugate equations and perturbation algorithms. (Sopryazhennye uravneniya i algoritmy vozmushchenij.) Zbl 0727.65036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1986
On the existence of traces of functions in spaces used in transport theory problems. Zbl 0636.46038
Agoshkov, V. I.
1986
Domain decomposition methods in problems of hydrodynamics. Zbl 0678.76039
Agoshkov, V. I.
1986
Poincaré-Steklov operators and methods for separation of a domain in variational problems. Zbl 0596.35030
Agoshkov, V. I.; Lebedev, V. I.
1985
Spaces of functions with differential-difference characteristics and smoothness of solutions of the transport equation. Zbl 0599.35009
Agoshkov, V. I.
1984
Parallel algorithms for the solution of some stationary problems of mathematical physics. (Parallel’nye algoritmy resheniya nekotorykh statsionarnykh zadach matematicheskoj fiziki). Zbl 0596.65064
Lebedev, V. I.; Bakhvalov, N. S.; Agoshkov, V. I.; Baburin, O. V.; Knyazev, A. V.; Shutyaev, V. P.
1984
Poincaré-Steklov operators and their applications in analysis. (Operatory Puankare-Steklova i ikh prilozheniya v analize). Zbl 0547.47029
Lebedev, V. I.; Agoshkov, V. I.
1983
Introduction to projection-grid methods. (Vvedenie v proektsionno- setochnye metody). Zbl 0642.65037
Marchuk, G. I.; Agoshkov, V. I.
1981
Kinetic equations and variational principles. Zbl 0471.45007
Marchuk, G. I.; Agoshkov, V. I.
1981
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### Cited by 429 Authors

 20 Agoshkov, Valeriĭ Ivanovich 20 Shutyaev, Victor Petrovich 11 Parmuzin, Eugene I. 8 Le Dimet, Francois-Xavier 8 Quarteroni, Alfio M. 7 Smagin, Viktor Vasil’evich 7 Tachim Medjo, Theodore 6 Gejadze, Igor Yu. 6 Voĭtishek, Anton Vaclavovich 5 Han, Weimin 5 Rozza, Gianluigi 5 Saritskaya, Zhanna Yur’evna 4 Alvarez-Vázquez, Lino Jose 4 Amosov, Andreĭ Avenirovich 4 Estep, Donald J. 4 Marchuk, Guriĭ Ivanovich 4 Martinez, Aurea 4 Namm, Robert V. 4 Ren, Kui 4 Rodríguez, Carmen E. 4 Rogava, Jemal L. 4 Saleri, Fausto 4 Sheloput, Tatiana O. 4 Tavener, Simon J. 4 Vázquez-Méndez, Miguel Ernesto 4 Vulkov, Lubin G. 3 Baker, Christopher Thomas Hale 3 Chaudhry, Jehanzeb Hameed 3 Georgiev, Slavi G. 3 Ipatova, V. M. 3 Kobel’kov, Georgiĭ Mikhaĭlovich 3 Muñoz-Sola, Rafael 3 Nazarov, Sergeĭ Aleksandrovich 3 Pinnau, René 3 Shkarupa, Elena V. 3 Vikhtenko, Eh. M. 3 Vilar, Miguel Angel 3 Zakharova, Natalia B. 3 Zhong, Yimin 2 Abrashin, Vyacheslav Nikolaevich 2 Ardelyan, N. V. 2 Ballarin, Francesco 2 Bi, Bo 2 Blatov, Igor A. 2 Bocharov, Gennady A. 2 Bourquin, Frédéric 2 Čiegis, Raimondas 2 Dang Quang A 2 Demay, Charles 2 Diansky, Nikolay A. 2 Đinh Nho Hào 2 Drutsa, Alexey V. 2 Eichholz, Joseph A. 2 Evtushenko, A. A. 2 Ferrari, Stefania 2 Frank, Martin 2 Galanin, M. P. 2 Gander, Martin Jakob 2 Gao, Zhiming 2 Ginting, Victor 2 Glushchenko, Andrij Arsenovych 2 Golse, François 2 Gray, W. Steven 2 Gulua, David 2 Gusev, Anatoly V. 2 Halpern, Laurence 2 Han, Bo 2 Hauck, Cory D. 2 Hérard, Jean-Marc 2 Herty, Michael Matthias 2 Khoromskiĭ, Boris Nikolaevich 2 Kolesnikov, A. P. 2 Korn, Peter 2 Kosmachevskii, K. V. 2 Lezina, Natalia R. 2 Lui, Shiu Hong 2 Ma, Yichen 2 Martin, Véronique 2 Miglio, Edie 2 Mokhtar-Kharroubi, Mustapha 2 Moskal’kov, M. N. 2 Novikov, Ivan Sergeevich 2 Oanh, Nguyen Thi Ngoc 2 Perotto, Simona 2 Perthame, Benoît 2 Petrova, Anastiya Aleksandrovna 2 Prokhorov, Igor’ Vasil’evich 2 Sablin, M. N. 2 Sacchi Landriani, Giovanni 2 Saint-Raymond, Laure 2 Savchin, Vladimir Mikhailovich 2 Scherpen, Jacquelien M. A. 2 Sheng, Qiwei 2 Smirnov, Yury G. 2 Strygin, Vadim V. 2 Tang, Jinping 2 Tervo, Jouko 2 Tong, Shanshan 2 Utebaev, Dauletbay 2 Vasseur, Alexis F. ...and 329 more Authors
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### Cited in 110 Serials

 28 Russian Journal of Numerical Analysis and Mathematical Modelling 19 Differential Equations 15 Journal of Computational and Applied Mathematics 13 Journal of Mathematical Sciences (New York) 11 Applied Numerical Mathematics 11 Computational Mathematics and Mathematical Physics 9 Mathematical Notes 8 Computer Methods in Applied Mechanics and Engineering 6 Journal of Computational Physics 6 Applied Mathematics and Computation 5 Journal of Soviet Mathematics 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Inverse Problems 4 Transport Theory and Statistical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Archive for Rational Mechanics and Analysis 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Siberian Mathematical Journal 3 Applied Mathematics and Mechanics. (English Edition) 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Cybernetics and Systems Analysis 3 Russian Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 2 International Journal for Numerical Methods in Fluids 2 Journal of Applied Mathematics and Mechanics 2 Lithuanian Mathematical Journal 2 Ukrainian Mathematical Journal 2 Calcolo 2 Journal of Functional Analysis 2 Mathematics and Computers in Simulation 2 Transactions of the Moscow Mathematical Society 2 Moscow University Computational Mathematics and Cybernetics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 Numerical Algorithms 2 Automation and Remote Control 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Scientific Computing 2 Monte Carlo Methods and Applications 2 Journal of Mathematical Chemistry 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Nonlinear Analysis. Real World Applications 2 Matematicheskoe Modelirovanie 2 Journal of Numerical Mathematics 2 Inverse Problems and Imaging 2 Journal of Computational and Theoretical Transport 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Moscow University Mechanics Bulletin 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Prikladnaya Matematika i Mekhanika 1 Soviet Applied Mechanics 1 Acta Mathematica Vietnamica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Automatica 1 BIT 1 Functional Analysis and its Applications 1 International Journal for Numerical Methods in Engineering 1 Journal of Statistical Planning and Inference 1 Numerical Functional Analysis and Optimization 1 Systems & Control Letters 1 Physica D 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Modeling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Communications in Numerical Methods in Engineering 1 Russian Journal of Mathematical Physics 1 Georgian Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 Izvestiya: Mathematics 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Optimization Methods & Software 1 Soft Computing 1 Chaos 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Optimization and Engineering 1 Lobachevskii Journal of Mathematics 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Computational Methods in Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation ...and 10 more Serials
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### Cited in 35 Fields

 163 Numerical analysis (65-XX) 143 Partial differential equations (35-XX) 67 Fluid mechanics (76-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 29 Geophysics (86-XX) 27 Integral equations (45-XX) 24 Statistical mechanics, structure of matter (82-XX) 24 Biology and other natural sciences (92-XX) 21 Ordinary differential equations (34-XX) 20 Optics, electromagnetic theory (78-XX) 19 Mechanics of deformable solids (74-XX) 15 Operator theory (47-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Systems theory; control (93-XX) 11 Astronomy and astrophysics (85-XX) 7 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 4 Approximations and expansions (41-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)