×

Marchuk, Guriĭ Ivanovich

Compute Distance To:
Author ID: marchuk.guri-i Recent zbMATH articles by "Marchuk, Guriĭ Ivanovich"
Published as: Marchuk, G. I.; Marchuk, Guri I.; Marchuk, Guri; Marchuk, G.; Marchuk, Gurij I.; Marchuk, G.-I.
Further Spellings: Марчук Гурий Иванович
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
all top 5

Co-Authors

79 single-authored
16 Agoshkov, Valeriĭ Ivanovich
13 Shutyaev, Victor Petrovich
9 Belykh, Leonid N.
9 Zalesny, Vladimir Borisovich
7 Zuev, Sergeĭ Mikhailovich
6 Il’in, Vladimir Aleksandrovich
6 Kuznetsov, Yurii Alekseevich
5 Asachenkov, A. L.
5 Bogolyubov, Nikolaĭ Nikolaevich
5 Osipov, Yuriĭ Sergeevich
5 Romanyukha, Alexei A.
4 Bocharov, Gennady A.
4 Gonchar, Andreĭ Aleksandrovich
4 Mishchenko, Evgeniĭ Frolovich
4 Moiseev, Evgeniĭ Ivanovich
3 Aloyan, Artash E.
3 Emel’yanov, Stanislav Vasil’evich
3 Korovin, Sergeĭ Konstantinovich
3 Kozlov, Valeriĭ Vasil’evich
3 Logunov, Anatoliĭ Alekseevich
3 Novikov, Sergeĭ Petrovich
3 Paton, Borys Yevgenovych
3 Petrov, Ram V.
3 Sadovnichiĭ, Viktor Antonovich
3 Shaĭdurov, Vladimir Victorovich
3 Vladimirov, Vasiliĭ Sergeevich
2 Aleksandrov, Pavel Sergeevich
2 Anosov, Dmitriĭ Viktorovich
2 Chavro, Anatoli I.
2 Chernous’ko, Feliks Leonidovich
2 Diansky, Nikolay A.
2 Fage, M. K.
2 Kolmogorov, Andreĭ Nikolaevich
2 Konovalov, Anatoly Nikolaevich
2 Kordzadze, A. A.
2 Kurzhanskiĭ, Aleksandr Borisovich
2 Kuzin, Victor I.
2 Kuznetsov, Boris Grigor’evich
2 Lebedev, Vyacheslav Ivanovich
2 Lions, Jacques-Louis
2 Lyusternik, Lazar’ Aronovich
2 Matsokin, A. M.
2 Mikhajlov, Valentin Petrovich
2 Moshonkin, S. N.
2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
2 Penenko, Vladimir V.
2 Pertsev, Nikolaĭ Viktorovich
2 Pogozhev, I. B.
2 Shabat, Boris Vladimirovich
2 Shokin, Yuriĭ Ivanovich
2 Sobolev, Sergeĭ L’vovich
2 Volovich, Igor’ Vasil’evich
1 Aldoshin, S. M.
1 Apokorinaya, V. S.
1 Arnol’d, Vladimir Igorevich
1 Arutyunyan, Vardan O.
1 Asachenkov, Alexander
1 Atanbaev, S. A.
1 Avilov, K. K.
1 Bagno, A. V.
1 Belotserkovskiĭ, Oleg Mikhaĭlovich
1 Berbentsova, A. P.
1 Bersenëv, S. M.
1 Blinova, E. N.
1 Borisov, S. E.
1 Bubnov, M. A.
1 Buleev, N. I.
1 Chernyi, Gorimir Gorimirovich
1 Chetverushkin, Boris Nikolaevich
1 Chubarikov, Vladimir Nikolaevich
1 Deinezhenko, A. L.
1 Demidov, G. V.
1 Drozhzhinov, Yuriĭ Nikolaevich
1 Dymnikov, Valentin Pavlovich
1 Egorov, V. D.
1 Ermakov, Sergeĭ Mikhaĭlovich
1 Erugin, Nikolaĭ Pavlovich
1 Faddeev, Dmitriĭ Konstantinovich
1 Faddeev, Lyudvig Dmitrievich
1 Fadeeva, V. N.
1 Finogenov, S. A.
1 Fomenko, Anatoliĭ Timofeevich
1 Gaĭshun, Ivan Vasil’vich
1 Gamkrelidze, Revaz Valerianovich
1 Gordeev, R. G.
1 Grigor’ev, A. I.
1 Gulin, Alexei V.
1 Gusev, Anatoly V.
1 Gusev, Mikhail Ivanovich
1 Gushchin, Anatoliĭ Konstantinovich
1 Il’in, Valeriĭ Pavlovich
1 Ivana, V. V.
1 Izobov, Nikolaĭ Alekseevich
1 Kagan, B. A.
1 Karkach, A. S.
1 Kazennykh, B. Ya.
1 Kireeva, N. M.
1 Kirpichnikov, M. P.
1 Klimok, V. I.
1 Kochergin, V. P.
...and 51 more Co-Authors
all top 5

Serials

16 Russian Journal of Numerical Analysis and Mathematical Modelling
10 Soviet Mathematics. Doklady
6 Russian Mathematical Surveys
4 Soviet Journal of Numerical Analysis and Mathematical Modelling
4 Differential Equations
3 Vychislitel’nye Protsessy i Sistemy
3 Applications of Mathematics
2 Doklady Akademii Nauk SSSR
2 Journal of Computational Physics
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Aplikace Matematiky
2 Computational Mathematics and Mathematical Physics
2 Doklady Mathematics
2 Mathematics and its Applications (Dordrecht)
2 Proceedings of the Steklov Institute of Mathematics
1 Acta Universitatis Carolinae. Mathematica et Physica
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Calcolo
1 Differentsial’nye Uravneniya
1 Journal of Computational and Applied Mathematics
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Siberian Mathematical Journal
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Chinese Annals of Mathematics. Series B
1 Journal of Complexity
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Matematicheskie Voprosy Kibernetiki
1 Computer Mathematics and its Applications
1 Sbornik: Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 Lecture Notes in Computer Science
1 Lecture Notes in Control and Information Sciences
1 Systems & Control: Foundations & Applications
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 1,105 times in 944 Documents Cited by Year
Splitting and alternating direction methods. Zbl 0875.65049
Marchuk, G. I.
140
1990
Difference methods and their extrapolations. Transl. from the Russian. Zbl 0511.65076
Marchuk, G. I.; Shaidurov, V. V.
108
1983
Methods of numerical mathematics. Transl. from the Russian by Arthur A. Brown. 2nd ed. Zbl 0485.65003
Marchuk, G. I.
82
1982
Introduction to projection-grid methods. (Vvedenie v proektsionno- setochnye metody). Zbl 0642.65037
Marchuk, G. I.; Agoshkov, V. I.
73
1981
Methods of numerical mathematics. Translated by Jiri Ruzicka. Zbl 0329.65002
Marchuk, G. I.
68
1975
Decomposition methods. (Metody rasshchepleniya.) Zbl 0653.65065
Marchuk, G. I.
58
1988
Some application of splitting-up methods to the solution of mathematical physics problems. Zbl 0159.44702
Marchuk, G. I.
40
1968
Mathematical modelling of immune response in infectious diseases. Transl. from Russian by G. Kontarev a. I. Sidorov. Zbl 0876.92015
Marchuk, G. I.
36
1997
Mathematical models in environmental problems. Transl. from the Russian. Zbl 0597.90001
Marchuk, G. I.
33
1986
Methods of numerical mathematics. Textbook. (Metody vychislitel’noj matematiki. Uchebnoe posobie). 3rd ed., rev. and compl. (Metody vychislitel’noj matematiki. Uchebnoe posobie.) Zbl 0696.65001
Marchuk, G. I.
28
1989
Fictitious domain and domain decomposition methods. Zbl 0825.65027
Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M.
24
1986
Methods of numerical mathematics. Textbook. (Metody vychislitel’noj matematiki. Uchebnoe posobie). 2nd ed., rev. and enl. Zbl 0485.65002
Marchuk, G. I.
24
1980
Numerical methods in the theory of neutron transport. (Chislennye metody v teorii perenosa nejtronov.). Zbl 0234.65102
Marchuk, G. I.; Lebedev, V. I.
24
1971
Mathematical models in immunology. Zbl 0825.92076
Marchuk, G. I.
23
1991
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.
20
1991
Methods of numerical and applied mathematics. Works of the seminar. (Metody vychislitel’noj i prikladnoj matematiki Trudy seminara). Zbl 0414.00004
15
1977
Mathematical models in immunology. (Matematicheskie modeli v immunologii). Zbl 0505.92006
Marchuk, G. I.
13
1980
On the solvability and numerical solution of data assimilation problems. Zbl 0818.65056
Agoshkov, V. I.; Marchuk, G. I.
13
1993
Mathematical modelling in the problem of environment. (Matematicheskoe modelirovanie v probleme okruzhayushchej sredy). Zbl 0493.90001
Marchuk, G. I.
12
1982
Increasing the accuracy of solutions of difference schemes. (Повышение точности решений разностных схем.) Zbl 0496.65046
Marchuk, G. I.; Shaĭdurov, V. V.
12
1979
Disease dynamics. Zbl 0833.92007
Asachenkov, Alexander; Marchuk, G.; Mohler, Ronald; Zuev, S.
12
1993
A numerical technique for geophysical data assimilation problems using Pontryagin’s principle and splitting-up method. Zbl 0818.65057
Marchuk, G. I.; Zalesny, V. B.
12
1993
Numerical solution by LMMs of stiff delay differential systems modelling an immune response. Zbl 0859.65077
Bocharov, G. A.; Marchuk, G. I.; Romanyukha, A. A.
12
1996
Mathematical models in immunology. Transl. from the Russian. Zbl 0556.92006
Marchuk, Gurij I.
11
1983
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.
10
1993
Mathematical models in immunology. (Matematicheskie modeli v immunologii). 2nd ed., rev. and compl. Zbl 0603.92004
Marchuk, G. I.
9
1985
Mathematical models in immunology. Numerical methods and experiments. (Matematicheskie metody v immunologii. Vychislitel’nye metody i ehksperimenty). 3rd ed., rev. and compl. (Matematicheskie metody v immunologii. Vychislitel’nye metody i ehksperimenty.) Zbl 0795.92013
Marchuk, G. I.
9
1991
Mathematical models in geophysical hydrodynamics and numerical methods for their realization. (Matematicheskie modeli v geofizicheskoj gidrodinamike i chislennye metody ikh realizatsii.) Zbl 0694.76001
Marchuk, G. I.; Dymnikov, V. P.; Zalesnyj, V. B.
9
1987
Applied problems of mathematical modeling in immunology. Zbl 0997.92021
Bocharov, G. A.; Marchuk, G. I.
9
2000
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.
8
1988
Introduction into the methods of numerical analysis. Zbl 0278.65099
Marchuk, G. I.
8
1973
Approaches to the solution of data assimilation problems. Zbl 1061.65509
Marchuk, Guri; Shutyaev, Victor; Zalesny, Vladimir
7
2001
On the theory of the splitting-up method. Zbl 0245.65045
Marchuk, G. I.
7
1971
Adjoint equations and perturbation algorithms in nonlinear problems. Zbl 1435.65008
Marchuk, Guri I.; Agoshkov, Valeri I.; Shutyaev, Victor P.
7
1996
Adjoint equations and analysis of complex systems. Transl. from Russian by Guennadi Kontarev. Zbl 0817.34002
Marchuk, Guri I.
7
1995
Iteration methods for solving a data assimilation problem. Zbl 0818.65058
Marchuk, G. I.; Shutyaev, V. P.
7
1994
Conjugate equations and the analysis of complex systems. (Sopryazhennye uravneniya i analiz slozhnykh sistem.) Zbl 0890.65032
Marchuk, G. I.
6
1992
Formulation of the theory of perturbations for complicated models. Zbl 0324.65053
Marchuk, G. I.
6
1975
The solution of a multidimensional kinetic equation by the splitting method. Zbl 0163.23201
Marchuk, G. I.; Yanenko, N. N.
5
1964
Perturbation theory and the statement of inverse problems. Zbl 0288.65033
Marchuk, G. I.
5
1973
Some mathematical models in immunology. Zbl 0487.92003
Marchuk, G. I.
4
1978
On the problem of mathematical modeling of ecological situations in water basins. Zbl 0522.92026
Marchuk, G. I.
4
1982
Mathematical modeling of antivirus immune response in case of the virus hepatitis B. Zbl 0727.92010
Marchuk, G. I.; Romanyukha, A. A.; Bocharov, G. A.
4
1989
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.
4
2010
Splitting and alternating direction methods. (Metody rasshchepleniya i peremennykh napravlenij). Zbl 0662.65089
Marchuk, G. I.
3
1986
Mathematical modelling of infectious diseases. Zbl 0611.92004
Marchuk, G. I.; Asachenkov, A. L.; Belykh, L. N.; Zuev, S. M.
3
1986
Mathematical modeling of ocean circulation. (Matematicheskoe modelirovanie tsirkulyatsii okeana.) Zbl 0712.76006
Marchuk, G. I.; Sarkisyan, A. S.
3
1988
Conjugate equations and perturbation algorithms. (Sopryazhennye uravneniya i algoritmy vozmushchenij.) Zbl 0727.65036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
3
1986
Tuberculosis epidemiology in Russia: mathematical model and data analysis. Zbl 1050.92048
Perelman, M. I.; Marchuk, G. I.; Borisov, S. E.; Kazennykh, B. Ya.; Avilov, K. K.; Karkach, A. S.; Romanyukha, A. A.
3
2004
An existence theorem for the problem of short term weather forecast. Zbl 0163.12201
Demidov, G. V.; Marchuk, G. I.
3
1966
Formulation of some converse problems. Zbl 0197.41201
Marchuk, G. I.
3
1964
Methods and problems of computational mathematics. Zbl 0244.65066
Marchuk, G. I.
3
1971
Construction of adjoint operators in nonlinear problems of mathematical physics. Zbl 0918.47057
Marchuk, G. I.
3
1998
Control operators and iterative algorithms in variational data assimilation problems. (Operatory upravleniya i iteratsionnye algoritmy v zadachakh variatsionnogo usvoeniya dannykh. Otvetstvennyj red. : G. I. Marchuk.) Zbl 1002.93001
Shutyaev, V. P.
3
2001
Adjoint equations and analysis of complex systems: Application to virus infection modelling. Zbl 1072.92026
Marchuk, G. I.; Shutyaev, V.; Bocharov, G.
3
2005
Mathematical models in immunology. Zbl 0685.92002
Marchuk, G. I.
2
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.
2
1988
Kinetic equations and variational principles. Zbl 0471.45007
Marchuk, G. I.; Agoshkov, V. I.
2
1981
Mathematical modeling in immunology and medicine. Proceedings of the IFIP TC 7 Working Conference on Mathematical Modeling in Immunology and Medicine, Moscow, USSR, 5-11 July, 1982. Zbl 0504.00041
2
1983
On the combination of finite element and splitting-up methods in the solution of parabolic equations. Zbl 0514.65074
Marchuk, G. I.; Kuzin, V. I.
2
1983
Application of optimization methods to the problem of mathematical simulation of atmospheric processes and environment. Zbl 0419.49006
Marchuk, G. I.; Penenko, V. V.
2
1979
On the determination of a conjugate operator for nonlinear problems. Zbl 1049.47054
Vladimirov, V. S.; Marchuk, G. I.
2
2000
Solvability and numerical algorithms for a class of variational data assimilation problems. Zbl 1070.65553
Marchuk, Guri; Shutyaev, Victor
2
2002
Theory and methods of nuclear reactor calculations. Zbl 0134.46303
Marchuk, G. I.
2
1964
Proof of a resolution method for the equations of radiation transfer. Zbl 0162.47403
Marchuk, G. I.; Sultangazin, U. M.
2
1965
On optimal iteration processes. Zbl 0179.21406
Marchuk, G. I.; Kuznetsov, Yu. A.
2
1968
Computation methods in transfer theory. Zbl 0197.14001
Marchuk, G. I.
2
1968
The Black Sea as a simulation ocean model. Zbl 1239.86005
Marchuk, G. I.; Paton, B. E.
1
2012
A more precise mathematical model of an infectious disease. Zbl 0534.92007
Asachenkov, A. L.; Marchuk, G. I.
1
1982
A mathematical model of antiviral immune response. Zbl 0572.92008
Marchuk, G. I.; Petrov, R. V.
1
1983
Theory and applications of the generalized conjugate gradient method. Zbl 0606.90114
Marchuk, G. I.; Kuznetsov, Yu. A.
1
1986
High-resolution simulation of monsoon variability of the Indian Ocean currents. Zbl 1142.86302
Marchuk, G. I.; Diansky, N. A.; Moshonkin, S. N.; Rusakov, A. S.; Zalesny, V. B.
1
2006
On numerical solution of Poincaré problem for oceanic circulations. Zbl 0779.76057
Marchuk, G.
1
1993
Reflection operators and contemporary applications to radiative transfer. Zbl 0831.65146
Marchuk, G. I.; Agoshkov, V. I.
1
1995
On the problem of processing clinical and laboratory data on oncological patients. Zbl 0825.92084
Marchuk, G. I.; Asachenkov, A. L.; Smolyaninov, E. S.; Sobolev, B. G.
1
1989
The mathematical model of the anti-viral immune response. Zbl 0524.92002
Marchuk, G. I.; Petrov, R. V.
1
1983
Chronic forms of a disease and their treatment according to mathematical immune response models. Zbl 0407.92008
Belykh, L. N.; Marchuk, G. I.
1
1979
Iterative methods for the solution of systems of linear equations with singular matrices. Zbl 0313.65026
Marchuk, G. I.; Kuznetsov, Yu. A.
1
1975
Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035
Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; Kurzhanskii, A. B.; Marchuk, G. I.; Matrosov, V. M.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.
1
2009
Numerische Methoden in der Wettervoraussage. Zbl 0193.55101
Marchuk, G. I.
1
1967
Numerical methods and computer applications in meteorology. Zbl 0254.65078
Marchuk, G. I.
1
1972
On some approaches to the construction of adjoint operators in nonlinear problems. Zbl 0902.47053
Marchuk, G. I.
1
1994
Qualitative analysis of the simplest mathematical model of an infectious disease. Zbl 0536.92010
Belykh, L. N.; Marchuk, G. I.
1
1982
Dynamics of mesoscale boundary atmospheric layer and impurity spreading with the photochemical transformation allowed for. Zbl 0836.76057
Aloyan, A. E.; Arutyunyan, V. O.; Marchuk, G. I.
1
1995
Lyudvig Dmitrievich Faddeev (on his sixtieth birthday). Zbl 0847.01018
Osipov, Yu. S.; Gonchar, A. A.; Novikov, S. P.; Arnol’d, V. I.; Marchuk, G. I.; Kulish, P. P.; Vladimirov, V. S.; Mishchenko, E. F.
1
1995
Splitting-up methods for non-stationary problems. Zbl 0852.65084
Marchuk, G. I.
1
1995
Increase of accuracy of projective-difference schemes. Zbl 0289.65039
Marchuk, G. I.; Shaydourov, V. V.
1
1974
The Black Sea as a simulation ocean model. Zbl 1239.86005
Marchuk, G. I.; Paton, B. E.
1
2012
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.
4
2010
Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035
Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; Kurzhanskii, A. B.; Marchuk, G. I.; Matrosov, V. M.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.
1
2009
High-resolution simulation of monsoon variability of the Indian Ocean currents. Zbl 1142.86302
Marchuk, G. I.; Diansky, N. A.; Moshonkin, S. N.; Rusakov, A. S.; Zalesny, V. B.
1
2006
Adjoint equations and analysis of complex systems: Application to virus infection modelling. Zbl 1072.92026
Marchuk, G. I.; Shutyaev, V.; Bocharov, G.
3
2005
Tuberculosis epidemiology in Russia: mathematical model and data analysis. Zbl 1050.92048
Perelman, M. I.; Marchuk, G. I.; Borisov, S. E.; Kazennykh, B. Ya.; Avilov, K. K.; Karkach, A. S.; Romanyukha, A. A.
3
2004
Solvability and numerical algorithms for a class of variational data assimilation problems. Zbl 1070.65553
Marchuk, Guri; Shutyaev, Victor
2
2002
Approaches to the solution of data assimilation problems. Zbl 1061.65509
Marchuk, Guri; Shutyaev, Victor; Zalesny, Vladimir
7
2001
Control operators and iterative algorithms in variational data assimilation problems. (Operatory upravleniya i iteratsionnye algoritmy v zadachakh variatsionnogo usvoeniya dannykh. Otvetstvennyj red. : G. I. Marchuk.) Zbl 1002.93001
Shutyaev, V. P.
3
2001
Applied problems of mathematical modeling in immunology. Zbl 0997.92021
Bocharov, G. A.; Marchuk, G. I.
9
2000
On the determination of a conjugate operator for nonlinear problems. Zbl 1049.47054
Vladimirov, V. S.; Marchuk, G. I.
2
2000
Construction of adjoint operators in nonlinear problems of mathematical physics. Zbl 0918.47057
Marchuk, G. I.
3
1998
Mathematical modelling of immune response in infectious diseases. Transl. from Russian by G. Kontarev a. I. Sidorov. Zbl 0876.92015
Marchuk, G. I.
36
1997
Numerical solution by LMMs of stiff delay differential systems modelling an immune response. Zbl 0859.65077
Bocharov, G. A.; Marchuk, G. I.; Romanyukha, A. A.
12
1996
Adjoint equations and perturbation algorithms in nonlinear problems. Zbl 1435.65008
Marchuk, Guri I.; Agoshkov, Valeri I.; Shutyaev, Victor P.
7
1996
Adjoint equations and analysis of complex systems. Transl. from Russian by Guennadi Kontarev. Zbl 0817.34002
Marchuk, Guri I.
7
1995
Reflection operators and contemporary applications to radiative transfer. Zbl 0831.65146
Marchuk, G. I.; Agoshkov, V. I.
1
1995
Dynamics of mesoscale boundary atmospheric layer and impurity spreading with the photochemical transformation allowed for. Zbl 0836.76057
Aloyan, A. E.; Arutyunyan, V. O.; Marchuk, G. I.
1
1995
Lyudvig Dmitrievich Faddeev (on his sixtieth birthday). Zbl 0847.01018
Osipov, Yu. S.; Gonchar, A. A.; Novikov, S. P.; Arnol’d, V. I.; Marchuk, G. I.; Kulish, P. P.; Vladimirov, V. S.; Mishchenko, E. F.
1
1995
Splitting-up methods for non-stationary problems. Zbl 0852.65084
Marchuk, G. I.
1
1995
Iteration methods for solving a data assimilation problem. Zbl 0818.65058
Marchuk, G. I.; Shutyaev, V. P.
7
1994
On some approaches to the construction of adjoint operators in nonlinear problems. Zbl 0902.47053
Marchuk, G. I.
1
1994
On the solvability and numerical solution of data assimilation problems. Zbl 0818.65056
Agoshkov, V. I.; Marchuk, G. I.
13
1993
Disease dynamics. Zbl 0833.92007
Asachenkov, Alexander; Marchuk, G.; Mohler, Ronald; Zuev, S.
12
1993
A numerical technique for geophysical data assimilation problems using Pontryagin’s principle and splitting-up method. Zbl 0818.65057
Marchuk, G. I.; Zalesny, V. B.
12
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.
10
1993
On numerical solution of Poincaré problem for oceanic circulations. Zbl 0779.76057
Marchuk, G.
1
1993
Conjugate equations and the analysis of complex systems. (Sopryazhennye uravneniya i analiz slozhnykh sistem.) Zbl 0890.65032
Marchuk, G. I.
6
1992
Mathematical models in immunology. Zbl 0825.92076
Marchuk, G. I.
23
1991
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.
20
1991
Mathematical models in immunology. Numerical methods and experiments. (Matematicheskie metody v immunologii. Vychislitel’nye metody i ehksperimenty). 3rd ed., rev. and compl. (Matematicheskie metody v immunologii. Vychislitel’nye metody i ehksperimenty.) Zbl 0795.92013
Marchuk, G. I.
9
1991
Splitting and alternating direction methods. Zbl 0875.65049
Marchuk, G. I.
140
1990
Methods of numerical mathematics. Textbook. (Metody vychislitel’noj matematiki. Uchebnoe posobie). 3rd ed., rev. and compl. (Metody vychislitel’noj matematiki. Uchebnoe posobie.) Zbl 0696.65001
Marchuk, G. I.
28
1989
Mathematical modeling of antivirus immune response in case of the virus hepatitis B. Zbl 0727.92010
Marchuk, G. I.; Romanyukha, A. A.; Bocharov, G. A.
4
1989
On the problem of processing clinical and laboratory data on oncological patients. Zbl 0825.92084
Marchuk, G. I.; Asachenkov, A. L.; Smolyaninov, E. S.; Sobolev, B. G.
1
1989
Decomposition methods. (Metody rasshchepleniya.) Zbl 0653.65065
Marchuk, G. I.
58
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.
8
1988
Mathematical modeling of ocean circulation. (Matematicheskoe modelirovanie tsirkulyatsii okeana.) Zbl 0712.76006
Marchuk, G. I.; Sarkisyan, A. S.
3
1988
Mathematical models in immunology. Zbl 0685.92002
Marchuk, G. I.
2
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.
2
1988
Mathematical models in geophysical hydrodynamics and numerical methods for their realization. (Matematicheskie modeli v geofizicheskoj gidrodinamike i chislennye metody ikh realizatsii.) Zbl 0694.76001
Marchuk, G. I.; Dymnikov, V. P.; Zalesnyj, V. B.
9
1987
Mathematical models in environmental problems. Transl. from the Russian. Zbl 0597.90001
Marchuk, G. I.
33
1986
Fictitious domain and domain decomposition methods. Zbl 0825.65027
Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M.
24
1986
Splitting and alternating direction methods. (Metody rasshchepleniya i peremennykh napravlenij). Zbl 0662.65089
Marchuk, G. I.
3
1986
Mathematical modelling of infectious diseases. Zbl 0611.92004
Marchuk, G. I.; Asachenkov, A. L.; Belykh, L. N.; Zuev, S. M.
3
1986
Conjugate equations and perturbation algorithms. (Sopryazhennye uravneniya i algoritmy vozmushchenij.) Zbl 0727.65036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
3
1986
Theory and applications of the generalized conjugate gradient method. Zbl 0606.90114
Marchuk, G. I.; Kuznetsov, Yu. A.
1
1986
Mathematical models in immunology. (Matematicheskie modeli v immunologii). 2nd ed., rev. and compl. Zbl 0603.92004
Marchuk, G. I.
9
1985
Difference methods and their extrapolations. Transl. from the Russian. Zbl 0511.65076
Marchuk, G. I.; Shaidurov, V. V.
108
1983
Mathematical models in immunology. Transl. from the Russian. Zbl 0556.92006
Marchuk, Gurij I.
11
1983
Mathematical modeling in immunology and medicine. Proceedings of the IFIP TC 7 Working Conference on Mathematical Modeling in Immunology and Medicine, Moscow, USSR, 5-11 July, 1982. Zbl 0504.00041
2
1983
On the combination of finite element and splitting-up methods in the solution of parabolic equations. Zbl 0514.65074
Marchuk, G. I.; Kuzin, V. I.
2
1983
A mathematical model of antiviral immune response. Zbl 0572.92008
Marchuk, G. I.; Petrov, R. V.
1
1983
The mathematical model of the anti-viral immune response. Zbl 0524.92002
Marchuk, G. I.; Petrov, R. V.
1
1983
Methods of numerical mathematics. Transl. from the Russian by Arthur A. Brown. 2nd ed. Zbl 0485.65003
Marchuk, G. I.
82
1982
Mathematical modelling in the problem of environment. (Matematicheskoe modelirovanie v probleme okruzhayushchej sredy). Zbl 0493.90001
Marchuk, G. I.
12
1982
On the problem of mathematical modeling of ecological situations in water basins. Zbl 0522.92026
Marchuk, G. I.
4
1982
A more precise mathematical model of an infectious disease. Zbl 0534.92007
Asachenkov, A. L.; Marchuk, G. I.
1
1982
Qualitative analysis of the simplest mathematical model of an infectious disease. Zbl 0536.92010
Belykh, L. N.; Marchuk, G. I.
1
1982
Introduction to projection-grid methods. (Vvedenie v proektsionno- setochnye metody). Zbl 0642.65037
Marchuk, G. I.; Agoshkov, V. I.
73
1981
Kinetic equations and variational principles. Zbl 0471.45007
Marchuk, G. I.; Agoshkov, V. I.
2
1981
Methods of numerical mathematics. Textbook. (Metody vychislitel’noj matematiki. Uchebnoe posobie). 2nd ed., rev. and enl. Zbl 0485.65002
Marchuk, G. I.
24
1980
Mathematical models in immunology. (Matematicheskie modeli v immunologii). Zbl 0505.92006
Marchuk, G. I.
13
1980
Increasing the accuracy of solutions of difference schemes. (Повышение точности решений разностных схем.) Zbl 0496.65046
Marchuk, G. I.; Shaĭdurov, V. V.
12
1979
Application of optimization methods to the problem of mathematical simulation of atmospheric processes and environment. Zbl 0419.49006
Marchuk, G. I.; Penenko, V. V.
2
1979
Chronic forms of a disease and their treatment according to mathematical immune response models. Zbl 0407.92008
Belykh, L. N.; Marchuk, G. I.
1
1979
Some mathematical models in immunology. Zbl 0487.92003
Marchuk, G. I.
4
1978
Methods of numerical and applied mathematics. Works of the seminar. (Metody vychislitel’noj i prikladnoj matematiki Trudy seminara). Zbl 0414.00004
15
1977
Methods of numerical mathematics. Translated by Jiri Ruzicka. Zbl 0329.65002
Marchuk, G. I.
68
1975
Formulation of the theory of perturbations for complicated models. Zbl 0324.65053
Marchuk, G. I.
6
1975
Iterative methods for the solution of systems of linear equations with singular matrices. Zbl 0313.65026
Marchuk, G. I.; Kuznetsov, Yu. A.
1
1975
Increase of accuracy of projective-difference schemes. Zbl 0289.65039
Marchuk, G. I.; Shaydourov, V. V.
1
1974
Introduction into the methods of numerical analysis. Zbl 0278.65099
Marchuk, G. I.
8
1973
Perturbation theory and the statement of inverse problems. Zbl 0288.65033
Marchuk, G. I.
5
1973
Numerical methods and computer applications in meteorology. Zbl 0254.65078
Marchuk, G. I.
1
1972
Numerical methods in the theory of neutron transport. (Chislennye metody v teorii perenosa nejtronov.). Zbl 0234.65102
Marchuk, G. I.; Lebedev, V. I.
24
1971
On the theory of the splitting-up method. Zbl 0245.65045
Marchuk, G. I.
7
1971
Methods and problems of computational mathematics. Zbl 0244.65066
Marchuk, G. I.
3
1971
Some application of splitting-up methods to the solution of mathematical physics problems. Zbl 0159.44702
Marchuk, G. I.
40
1968
On optimal iteration processes. Zbl 0179.21406
Marchuk, G. I.; Kuznetsov, Yu. A.
2
1968
Computation methods in transfer theory. Zbl 0197.14001
Marchuk, G. I.
2
1968
Numerische Methoden in der Wettervoraussage. Zbl 0193.55101
Marchuk, G. I.
1
1967
An existence theorem for the problem of short term weather forecast. Zbl 0163.12201
Demidov, G. V.; Marchuk, G. I.
3
1966
Proof of a resolution method for the equations of radiation transfer. Zbl 0162.47403
Marchuk, G. I.; Sultangazin, U. M.
2
1965
The solution of a multidimensional kinetic equation by the splitting method. Zbl 0163.23201
Marchuk, G. I.; Yanenko, N. N.
5
1964
Formulation of some converse problems. Zbl 0197.41201
Marchuk, G. I.
3
1964
Theory and methods of nuclear reactor calculations. Zbl 0134.46303
Marchuk, G. I.
2
1964
all top 5

Cited by 1,303 Authors

28 Vabishchevich, Pëtr Nikolaevich
21 Shutyaev, Victor Petrovich
20 Glowinski, Roland
15 Agoshkov, Valeriĭ Ivanovich
15 Bocharov, Gennady A.
13 Shishkin, Grigoriĭ Ivanovich
10 Pan, Tsorng-Whay
10 Parmuzin, Eugene I.
9 Alvarez-Vázquez, Lino Jose
9 Foryś, Urszula
9 Martinez, Aurea
9 Vázquez-Méndez, Miguel Ernesto
8 Faragó, István
8 Geiser, Jürgen
8 Le Dimet, Francois-Xavier
8 Zlatev, Zahari
7 Baker, Christopher Thomas Hale
7 Csomós, Petra
7 Han, Guoqiang
7 Rihan, Fathalla A.
7 Rogava, Jemal L.
7 Smagin, Viktor Vasil’evich
7 Voĭtishek, Anton Vaclavovich
7 Vulkov, Lubin G.
6 Alekseev, Aleksey K.
6 Čiegis, Raimondas
6 García-Chan, Néstor
6 Gejadze, Igor Yu.
6 Konovalov, Anatoly Nikolaevich
6 Marchuk, Guriĭ Ivanovich
6 Pyatkov, Sergeĭ Grigor’evich
6 Sadovskii, Vladimir M.
5 Belyaev, Konstantin P.
5 Guidoboni, Giovanna
5 Hundsdorfer, Willem H.
5 Kurganov, Alexander
5 Lima, Pedro Miguel
5 Périaux, Jacques F.
5 Portero, Laura
5 Romanyukha, Alexei A.
5 Shishkina, Lidia P.
5 Tai, Xuecheng
5 Tanajura, Clemente A. S.
4 Angot, Philippe
4 Arrarás, Andres
4 Bertrand, Pierre
4 Bodnar, Marek
4 Bragin, Michael D.
4 Brezinski, Claude
4 Chaudhry, Jehanzeb Hameed
4 Christov, Christo Ivanov
4 Daoud, Daoud S.
4 Estep, Donald J.
4 Filatov, Denis M.
4 Grebennikov, Dmitry S.
4 Havasi, Ágnes
4 Hu, Hongling
4 Jorge, Juan Carlos
4 Kazantsev, Eugene
4 Khristichenko, Michael Yu.
4 Kolesov, Aleksandr Egorovich
4 Kuznetsov, Yurii Alekseevich
4 Moiseev, N. Ya.
4 Namm, Robert V.
4 Navon, Ionel Michael
4 Nechepurenko, Yuri M.
4 Pan, Kejia
4 Pertsev, Nikolaĭ Viktorovich
4 Rogov, Boris V.
4 Sadovskaya, Oxana V.
4 Shaĭdurov, Vladimir Victorovich
4 Skiba, Yuri N.
4 Sonnendrücker, Eric
4 Tao, Lu
4 Tavener, Simon J.
4 Toivanen, Jari
4 Wang, Yuanming
4 Yanenko, V. M.
4 Yuan, Yirang
4 Zakharova, Natalia B.
4 Zlotnik, Alexander A.
3 Allen, Edward James
3 Atoev, K. L.
3 Chen, Chuanmiao
3 Chertock, Alina E.
3 Climent, Joan-Josep
3 Dang Quang A
3 Diogo, Teresa
3 Efendiev, Yalchin R.
3 Evans, David John
3 Galanin, M. P.
3 Georgiev, Slavi G.
3 Gyöngy, István
3 Hesla, Todd I.
3 Huang, Chengming
3 Il’in, Valeriĭ Pavlovich
3 in ’t Hout, Karel J.
3 Joseph, Daniel D.
3 Kabanikhin, Sergeĭ Igorevich
3 Kaushik, Aditya
...and 1,203 more Authors
all top 5

Cited in 200 Serials

68 Journal of Computational and Applied Mathematics
59 Journal of Computational Physics
38 Computational Mathematics and Mathematical Physics
37 Russian Journal of Numerical Analysis and Mathematical Modelling
36 Applied Mathematics and Computation
30 Computers & Mathematics with Applications
30 Applied Numerical Mathematics
30 Differential Equations
29 Computer Methods in Applied Mechanics and Engineering
25 Cybernetics and Systems Analysis
21 Journal of Mathematical Sciences (New York)
19 Siberian Mathematical Journal
17 Mathematical and Computer Modelling
15 Mathematical Notes
13 Journal of Soviet Mathematics
13 Applied Mathematical Modelling
12 Journal of Mathematical Analysis and Applications
11 Journal of Scientific Computing
10 Mathematics and Computers in Simulation
10 Numerische Mathematik
9 Mathematics of Computation
8 Fluid Dynamics
8 Ukrainian Mathematical Journal
8 Computational Mathematics and Modeling
7 Computer Physics Communications
7 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
7 Soviet Applied Mechanics
7 International Journal of Computer Mathematics
7 SIAM Journal on Scientific Computing
6 International Journal for Numerical Methods in Fluids
6 Lithuanian Mathematical Journal
6 BIT
6 Automation and Remote Control
6 Doklady Mathematics
6 Proceedings of the Steklov Institute of Mathematics
6 Journal of Siberian Federal University. Mathematics & Physics
5 Transport Theory and Statistical Physics
5 Cybernetics
5 Applied Mathematics and Mechanics. (English Edition)
5 Applied Mathematics Letters
4 Theoretical and Mathematical Physics
4 Acta Applicandae Mathematicae
4 Numerical Algorithms
4 Linear Algebra and its Applications
4 Advances in Computational Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Journal of Applied Mechanics and Technical Physics
4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
4 Computational Geosciences
4 Journal of Biological Systems
4 Nonlinear Analysis. Real World Applications
4 Matematicheskoe Modelirovanie
4 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
3 Journal of Applied Mathematics and Mechanics
3 Mathematical Biosciences
3 Moscow University Mathematics Bulletin
3 Chaos, Solitons and Fractals
3 Calcolo
3 Computing
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Chinese Annals of Mathematics. Series B
3 Physica D
3 Numerical Methods for Partial Differential Equations
3 Russian Mathematics
3 Georgian Mathematical Journal
3 Monte Carlo Methods and Applications
3 International Journal of Computational Fluid Dynamics
3 Abstract and Applied Analysis
3 Matematicheskie Trudy
3 Discrete Dynamics in Nature and Society
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Optimization and Engineering
3 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Theoretical Biology
3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika
2 Computers and Fluids
2 Bulletin of Mathematical Biology
2 Journal of Optimization Theory and Applications
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Moscow University Computational Mathematics and Cybernetics
2 Stochastic Analysis and Applications
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Computational Mechanics
2 Journal of Economic Dynamics & Control
2 Journal of Integral Equations and Applications
2 Journal of Mathematical Imaging and Vision
2 Journal of Nonlinear Science
2 Vestnik St. Petersburg University. Mathematics
2 Computational Economics
2 Journal of Computer and Systems Sciences International
2 Journal of Inverse and Ill-Posed Problems
2 Engineering Analysis with Boundary Elements
2 Mathematical Problems in Engineering
2 Mathematical Population Studies
2 European Journal of Mechanics. B. Fluids
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Numerical Mathematics
2 Journal of Applied Mathematics and Computing
2 International Journal of Numerical Analysis and Modeling
...and 100 more Serials
all top 5

Cited in 41 Fields

573 Numerical analysis (65-XX)
312 Partial differential equations (35-XX)
173 Fluid mechanics (76-XX)
125 Biology and other natural sciences (92-XX)
104 Ordinary differential equations (34-XX)
68 Calculus of variations and optimal control; optimization (49-XX)
63 Integral equations (45-XX)
58 Mechanics of deformable solids (74-XX)
58 Geophysics (86-XX)
42 Systems theory; control (93-XX)
33 Statistical mechanics, structure of matter (82-XX)
29 Classical thermodynamics, heat transfer (80-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25 Operator theory (47-XX)
22 Optics, electromagnetic theory (78-XX)
20 Probability theory and stochastic processes (60-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Approximations and expansions (41-XX)
14 Computer science (68-XX)
12 Statistics (62-XX)
12 Quantum theory (81-XX)
12 Astronomy and astrophysics (85-XX)
11 Operations research, mathematical programming (90-XX)
10 Difference and functional equations (39-XX)
6 Functional analysis (46-XX)
6 Information and communication theory, circuits (94-XX)
5 History and biography (01-XX)
5 Real functions (26-XX)
5 Mechanics of particles and systems (70-XX)
4 Sequences, series, summability (40-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Differential geometry (53-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.