Edit Profile (opens in new tab) Marchuk, Guriĭ Ivanovich Compute Distance To: Compute Author ID: marchuk.guri-i Published as: Marchuk, G. I.; Marchuk, Guri I.; Marchuk, Guri; Marchuk, G.; Marchuk, Gurij I.; Marchuk, G.-I. more...less Further Spellings: Марчук Гурий Иванович External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 169 Publications since 1956, including 32 Books 19 Contributions as Editor · 1 Further Contribution Biographic References: 17 Publications Co-Authors: 138 Co-Authors with 110 Joint Publications 3,576 Co-Co-Authors 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, Anatoliĭ 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’evich 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 all top 5 Fields 73 Numerical analysis (65-XX) 46 Biology and other natural sciences (92-XX) 31 Geophysics (86-XX) 21 Partial differential equations (35-XX) 21 Fluid mechanics (76-XX) 18 History and biography (01-XX) 16 General and overarching topics; collections (00-XX) 16 Operator theory (47-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Systems theory; control (93-XX) 12 Ordinary differential equations (34-XX) 10 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Statistics (62-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Associative rings and algebras (16-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 1,150 times in 988 Documents Cited by ▼ Year ▼ Splitting and alternating direction methods. Zbl 0875.65049Marchuk, G. I. 152 1990 Difference methods and their extrapolations. Transl. from the Russian. Zbl 0511.65076Marchuk, G. I.; Shaidurov, V. V. 109 1983 Methods of numerical mathematics. Transl. from the Russian by Arthur A. Brown. 2nd ed. Zbl 0485.65003Marchuk, G. I. 85 1982 Introduction to projection-grid methods. (Vvedenie v proektsionno- setochnye metody). Zbl 0642.65037Marchuk, G. I.; Agoshkov, V. I. 77 1981 Methods of numerical mathematics. Translated by Jiri Ruzicka. Zbl 0329.65002Marchuk, G. I. 68 1975 Decomposition methods. (Metody rasshchepleniya.) Zbl 0653.65065Marchuk, G. I. 59 1988 Some application of splitting-up methods to the solution of mathematical physics problems. Zbl 0159.44702Marchuk, G. I. 42 1968 Mathematical modelling of immune response in infectious diseases. Transl. from Russian by G. Kontarev a. I. Sidorov. Zbl 0876.92015Marchuk, G. I. 39 1997 Mathematical models in environmental problems. Transl. from the Russian. Zbl 0597.90001Marchuk, G. I. 36 1986 Methods of numerical mathematics. Textbook. (Metody vychislitel’noj matematiki. Uchebnoe posobie). 3rd ed., rev. and compl. (Metody vychislitel’noj matematiki. Uchebnoe posobie.) Zbl 0696.65001Marchuk, G. I. 29 1989 Numerical methods in the theory of neutron transport. (Chislennye metody v teorii perenosa nejtronov.). Zbl 0234.65102Marchuk, G. I.; Lebedev, V. I. 25 1971 Methods of numerical mathematics. Textbook. (Metody vychislitel’noj matematiki. Uchebnoe posobie). 2nd ed., rev. and enl. Zbl 0485.65002Marchuk, G. I. 24 1980 Mathematical models in immunology. Zbl 0825.92076Marchuk, G. I. 24 1991 Fictitious domain and domain decomposition methods. Zbl 0825.65027Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M. 24 1986 Conjugate equations and perturbation algorithms in nonlinear problems of mathematical physics. (Sopryazhennye uravneniya i algoritmy vozmushchenij v nelinejnykh zadachakh matematicheskoj fiziki.) Zbl 0828.47053Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P. 20 1991 Mathematical models in immunology. (Matematicheskie modeli v immunologii). Zbl 0505.92006Marchuk, G. I. 16 1980 Methods of numerical and applied mathematics. Works of the seminar. (Metody vychislitel’noj i prikladnoj matematiki Trudy seminara). Zbl 0414.00004 15 1977 Increasing the accuracy of solutions of difference schemes. (Повышение точности решений разностных схем.) Zbl 0496.65046Marchuk, G. I.; Shaĭdurov, V. V. 13 1979 On the solvability and numerical solution of data assimilation problems. Zbl 0818.65056Agoshkov, V. I.; Marchuk, G. I. 13 1993 Mathematical modelling in the problem of environment. (Matematicheskoe modelirovanie v probleme okruzhayushchej sredy). Zbl 0493.90001Marchuk, G. I. 12 1982 A numerical technique for geophysical data assimilation problems using Pontryagin’s principle and splitting-up method. Zbl 0818.65057Marchuk, G. I.; Zalesny, V. B. 12 1993 Numerical solution by LMMs of stiff delay differential systems modelling an immune response. Zbl 0859.65077Bocharov, G. A.; Marchuk, G. I.; Romanyukha, A. A. 12 1996 Disease dynamics. Zbl 0833.92007Asachenkov, Alexander; Marchuk, G.; Mohler, Ronald; Zuev, S. 12 1993 Mathematical models in immunology. Transl. from the Russian. Zbl 0556.92006Marchuk, Gurij I. 11 1983 Adjoint equations and analysis of complex systems. Transl. from Russian by Guennadi Kontarev. Zbl 0817.34002Marchuk, Guri I. 11 1995 Mathematical models in geophysical hydrodynamics and numerical methods for their realization. (Matematicheskie modeli v geofizicheskoj gidrodinamike i chislennye metody ikh realizatsii.) Zbl 0694.76001Marchuk, G. I.; Dymnikov, V. P.; Zalesnyj, V. B. 10 1987 Conjugate equations and perturbation methods in nonlinear problems of mathematical physics. (Sopryazhennye uravneniya i metody vozmushchenij v nelinejnykh zadachakh matematicheskoj fiziki.) Zbl 0869.47036Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P. 10 1993 Mathematical models in immunology. (Matematicheskie modeli v immunologii). 2nd ed., rev. and compl. Zbl 0603.92004Marchuk, 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 0795.92013Marchuk, G. I. 9 1991 Applied problems of mathematical modeling in immunology. Zbl 0997.92021Bocharov, 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 0664.35070Agoshkov, V. I. 8 1988 Conjugate equations and the analysis of complex systems. (Sopryazhennye uravneniya i analiz slozhnykh sistem.) Zbl 0890.65032Marchuk, G. I. 8 1992 Introduction into the methods of numerical analysis. Zbl 0278.65099Marchuk, G. I. 8 1973 Adjoint equations and perturbation algorithms in nonlinear problems. Zbl 1435.65008Marchuk, Guri I.; Agoshkov, Valeri I.; Shutyaev, Victor P. 8 1996 Numerical simulation of large-scale ocean circulation based on the multicomponent splitting method. Zbl 1203.86007Zalesny, 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. 7 2010 Iteration methods for solving a data assimilation problem. Zbl 0818.65058Marchuk, G. I.; Shutyaev, V. P. 7 1994 Approaches to the solution of data assimilation problems. Zbl 1061.65509Marchuk, Guri; Shutyaev, Victor; Zalesny, Vladimir 7 2001 On the theory of the splitting-up method. Zbl 0245.65045Marchuk, G. I. 7 1971 Formulation of the theory of perturbations for complicated models. Zbl 0324.65053Marchuk, G. I. 6 1975 The solution of a multidimensional kinetic equation by the splitting method. Zbl 0163.23201Marchuk, G. I.; Yanenko, N. N. 5 1964 Formulation of some converse problems. Zbl 0197.41201Marchuk, G. I. 5 1964 Perturbation theory and the statement of inverse problems. Zbl 0288.65033Marchuk, G. I. 5 1973 Mathematical modeling of antivirus immune response in case of the virus hepatitis B. Zbl 0727.92010Marchuk, G. I.; Romanyukha, A. A.; Bocharov, G. A. 4 1989 Some mathematical models in immunology. Zbl 0487.92003Marchuk, G. I. 4 1978 Adjoint equations and analysis of complex systems: Application to virus infection modelling. Zbl 1072.92026Marchuk, G. I.; Shutyaev, V.; Bocharov, G. 4 2005 On the problem of mathematical modeling of ecological situations in water basins. Zbl 0522.92026Marchuk, G. I. 4 1982 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 1002.93001Shutyaev, V. P. 4 2001 Tuberculosis epidemiology in Russia: mathematical model and data analysis. Zbl 1050.92048Perelman, M. I.; Marchuk, G. I.; Borisov, S. E.; Kazennykh, B. Ya.; Avilov, K. K.; Karkach, A. S.; Romanyukha, A. A. 4 2004 Mathematical modelling of infectious diseases. Zbl 0611.92004Marchuk, G. I.; Asachenkov, A. L.; Belykh, L. N.; Zuev, S. M. 3 1986 Construction of adjoint operators in nonlinear problems of mathematical physics. Zbl 0918.47057Marchuk, G. I. 3 1998 Splitting and alternating direction methods. (Metody rasshchepleniya i peremennykh napravlenij). Zbl 0662.65089Marchuk, G. I. 3 1986 Mathematical modeling of ocean circulation. (Matematicheskoe modelirovanie tsirkulyatsii okeana.) Zbl 0712.76006Marchuk, G. I.; Sarkisyan, A. S. 3 1988 Conjugate equations and perturbation algorithms. (Sopryazhennye uravneniya i algoritmy vozmushchenij.) Zbl 0727.65036Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P. 3 1986 Proof of a resolution method for the equations of radiation transfer. Zbl 0162.47403Marchuk, G. I.; Sultangazin, U. M. 3 1965 An existence theorem for the problem of short term weather forecast. Zbl 0163.12201Demidov, G. V.; Marchuk, G. I. 3 1966 Methods and problems of computational mathematics. Zbl 0244.65066Marchuk, G. I. 3 1971 Application of optimization methods to the problem of mathematical simulation of atmospheric processes and environment. Zbl 0419.49006Marchuk, G. I.; Penenko, V. V. 3 1979 Kinetic equations and variational principles. Zbl 0471.45007Marchuk, G. I.; Agoshkov, V. I. 2 1981 A more precise mathematical model of an infectious disease. Zbl 0534.92007Asachenkov, A. L.; Marchuk, G. I. 2 1982 Mathematical modeling in immunology and medicine. (Matematicheskie modeli v immunologii i meditsine). Proceedings of the international IFIP conference held in Moscow, July 5-11, 1982. Transl. from the English. Zbl 0673.92001 2 1986 Mathematical models in immunology. Zbl 0685.92002Marchuk, G. I. 2 1988 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 Solvability and numerical algorithms for a class of variational data assimilation problems. Zbl 1070.65553Marchuk, Guri; Shutyaev, Victor 2 2002 Conjugate operators and algorithms of perturbation in nonlinear problems. I: Principles of construction of conjugate operators. Zbl 0825.65044Marchuk, G. I.; Agoshkov, V. I. 2 1988 On the combination of finite element and splitting-up methods in the solution of parabolic equations. Zbl 0514.65074Marchuk, G. I.; Kuzin, V. I. 2 1983 Theory and methods of nuclear reactor calculations. Zbl 0134.46303Marchuk, G. I. 2 1964 On optimal iteration processes. Zbl 0179.21406Marchuk, G. I.; Kuznetsov, Yu. A. 2 1968 Computation methods in transfer theory. Zbl 0197.14001Marchuk, G. I. 2 1968 On the determination of a conjugate operator for nonlinear problems. Zbl 1049.47054Vladimirov, V. S.; Marchuk, G. I. 2 2000 Theory and applications of the generalized conjugate gradient method. Zbl 0606.90114Marchuk, G. I.; Kuznetsov, Yu. A. 1 1986 High-resolution simulation of monsoon variability of the Indian Ocean currents. Zbl 1142.86302Marchuk, G. I.; Diansky, N. A.; Moshonkin, S. N.; Rusakov, A. S.; Zalesny, V. B. 1 2006 Qualitative analysis of the simplest mathematical model of an infectious disease. Zbl 0536.92010Belykh, L. N.; Marchuk, G. I. 1 1982 A mathematical model of antiviral immune response. Zbl 0572.92008Marchuk, G. I.; Petrov, R. V. 1 1983 Numerical methods and computer applications in meteorology. Zbl 0254.65078Marchuk, G. I. 1 1972 Reflection operators and contemporary applications to radiative transfer. Zbl 0831.65146Marchuk, G. I.; Agoshkov, V. I. 1 1995 On the problem of processing clinical and laboratory data on oncological patients. Zbl 0825.92084Marchuk, G. I.; Asachenkov, A. L.; Smolyaninov, E. S.; Sobolev, B. G. 1 1989 Dynamics of mesoscale boundary atmospheric layer and impurity spreading with the photochemical transformation allowed for. Zbl 0836.76057Aloyan, A. E.; Arutyunyan, V. O.; Marchuk, G. I. 1 1995 The mathematical model of the anti-viral immune response. Zbl 0524.92002Marchuk, G. I.; Petrov, R. V. 1 1983 On some approaches to the construction of adjoint operators in nonlinear problems. Zbl 0902.47053Marchuk, G. I. 1 1994 On numerical solution of Poincaré problem for oceanic circulations. Zbl 0779.76057Marchuk, G. 1 1993 Lyudvig Dmitrievich Faddeev (on his sixtieth birthday). Zbl 0847.01018Osipov, 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 0852.65084Marchuk, G. I. 1 1995 Numerische Methoden in der Wettervoraussage. Zbl 0193.55101Marchuk, G. I. 1 1967 Increase of accuracy of projective-difference schemes. Zbl 0289.65039Marchuk, G. I.; Shaydourov, V. V. 1 1974 Iterative methods for the solution of systems of linear equations with singular matrices. Zbl 0313.65026Marchuk, G. I.; Kuznetsov, Yu. A. 1 1975 The Black Sea as a simulation ocean model. Zbl 1239.86005Marchuk, G. I.; Paton, B. E. 1 2012 Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035Anosov, 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 Chronic forms of a disease and their treatment according to mathematical immune response models. Zbl 0407.92008Belykh, L. N.; Marchuk, G. I. 1 1979 The Black Sea as a simulation ocean model. Zbl 1239.86005Marchuk, G. I.; Paton, B. E. 1 2012 Numerical simulation of large-scale ocean circulation based on the multicomponent splitting method. Zbl 1203.86007Zalesny, 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. 7 2010 Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035Anosov, 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 1142.86302Marchuk, 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 1072.92026Marchuk, G. I.; Shutyaev, V.; Bocharov, G. 4 2005 Tuberculosis epidemiology in Russia: mathematical model and data analysis. Zbl 1050.92048Perelman, M. I.; Marchuk, G. I.; Borisov, S. E.; Kazennykh, B. Ya.; Avilov, K. K.; Karkach, A. S.; Romanyukha, A. A. 4 2004 Solvability and numerical algorithms for a class of variational data assimilation problems. Zbl 1070.65553Marchuk, Guri; Shutyaev, Victor 2 2002 Approaches to the solution of data assimilation problems. Zbl 1061.65509Marchuk, 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 1002.93001Shutyaev, V. P. 4 2001 Applied problems of mathematical modeling in immunology. Zbl 0997.92021Bocharov, G. A.; Marchuk, G. I. 9 2000 On the determination of a conjugate operator for nonlinear problems. Zbl 1049.47054Vladimirov, V. S.; Marchuk, G. I. 2 2000 Construction of adjoint operators in nonlinear problems of mathematical physics. Zbl 0918.47057Marchuk, G. I. 3 1998 Mathematical modelling of immune response in infectious diseases. Transl. from Russian by G. Kontarev a. I. Sidorov. Zbl 0876.92015Marchuk, G. I. 39 1997 Numerical solution by LMMs of stiff delay differential systems modelling an immune response. Zbl 0859.65077Bocharov, G. A.; Marchuk, G. I.; Romanyukha, A. A. 12 1996 Adjoint equations and perturbation algorithms in nonlinear problems. Zbl 1435.65008Marchuk, Guri I.; Agoshkov, Valeri I.; Shutyaev, Victor P. 8 1996 Adjoint equations and analysis of complex systems. Transl. from Russian by Guennadi Kontarev. Zbl 0817.34002Marchuk, Guri I. 11 1995 Reflection operators and contemporary applications to radiative transfer. Zbl 0831.65146Marchuk, G. I.; Agoshkov, V. I. 1 1995 Dynamics of mesoscale boundary atmospheric layer and impurity spreading with the photochemical transformation allowed for. Zbl 0836.76057Aloyan, A. E.; Arutyunyan, V. O.; Marchuk, G. I. 1 1995 Lyudvig Dmitrievich Faddeev (on his sixtieth birthday). Zbl 0847.01018Osipov, 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 0852.65084Marchuk, G. I. 1 1995 Iteration methods for solving a data assimilation problem. Zbl 0818.65058Marchuk, G. I.; Shutyaev, V. P. 7 1994 On some approaches to the construction of adjoint operators in nonlinear problems. Zbl 0902.47053Marchuk, G. I. 1 1994 On the solvability and numerical solution of data assimilation problems. Zbl 0818.65056Agoshkov, V. I.; Marchuk, G. I. 13 1993 A numerical technique for geophysical data assimilation problems using Pontryagin’s principle and splitting-up method. Zbl 0818.65057Marchuk, G. I.; Zalesny, V. B. 12 1993 Disease dynamics. Zbl 0833.92007Asachenkov, Alexander; Marchuk, G.; Mohler, Ronald; Zuev, S. 12 1993 Conjugate equations and perturbation methods in nonlinear problems of mathematical physics. (Sopryazhennye uravneniya i metody vozmushchenij v nelinejnykh zadachakh matematicheskoj fiziki.) Zbl 0869.47036Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P. 10 1993 On numerical solution of Poincaré problem for oceanic circulations. Zbl 0779.76057Marchuk, G. 1 1993 Conjugate equations and the analysis of complex systems. (Sopryazhennye uravneniya i analiz slozhnykh sistem.) Zbl 0890.65032Marchuk, G. I. 8 1992 Mathematical models in immunology. Zbl 0825.92076Marchuk, G. I. 24 1991 Conjugate equations and perturbation algorithms in nonlinear problems of mathematical physics. (Sopryazhennye uravneniya i algoritmy vozmushchenij v nelinejnykh zadachakh matematicheskoj fiziki.) Zbl 0828.47053Marchuk, 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 0795.92013Marchuk, G. I. 9 1991 Splitting and alternating direction methods. Zbl 0875.65049Marchuk, G. I. 152 1990 Methods of numerical mathematics. Textbook. (Metody vychislitel’noj matematiki. Uchebnoe posobie). 3rd ed., rev. and compl. (Metody vychislitel’noj matematiki. Uchebnoe posobie.) Zbl 0696.65001Marchuk, G. I. 29 1989 Mathematical modeling of antivirus immune response in case of the virus hepatitis B. Zbl 0727.92010Marchuk, G. I.; Romanyukha, A. A.; Bocharov, G. A. 4 1989 On the problem of processing clinical and laboratory data on oncological patients. Zbl 0825.92084Marchuk, G. I.; Asachenkov, A. L.; Smolyaninov, E. S.; Sobolev, B. G. 1 1989 Decomposition methods. (Metody rasshchepleniya.) Zbl 0653.65065Marchuk, G. I. 59 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 0664.35070Agoshkov, V. I. 8 1988 Mathematical modeling of ocean circulation. (Matematicheskoe modelirovanie tsirkulyatsii okeana.) Zbl 0712.76006Marchuk, G. I.; Sarkisyan, A. S. 3 1988 Mathematical models in immunology. Zbl 0685.92002Marchuk, G. I. 2 1988 Conjugate operators and algorithms of perturbation in nonlinear problems. I: Principles of construction of conjugate operators. Zbl 0825.65044Marchuk, 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 0694.76001Marchuk, G. I.; Dymnikov, V. P.; Zalesnyj, V. B. 10 1987 Mathematical models in environmental problems. Transl. from the Russian. Zbl 0597.90001Marchuk, G. I. 36 1986 Fictitious domain and domain decomposition methods. Zbl 0825.65027Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M. 24 1986 Mathematical modelling of infectious diseases. Zbl 0611.92004Marchuk, G. I.; Asachenkov, A. L.; Belykh, L. N.; Zuev, S. M. 3 1986 Splitting and alternating direction methods. (Metody rasshchepleniya i peremennykh napravlenij). Zbl 0662.65089Marchuk, G. I. 3 1986 Conjugate equations and perturbation algorithms. (Sopryazhennye uravneniya i algoritmy vozmushchenij.) Zbl 0727.65036Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P. 3 1986 Mathematical modeling in immunology and medicine. (Matematicheskie modeli v immunologii i meditsine). Proceedings of the international IFIP conference held in Moscow, July 5-11, 1982. Transl. from the English. Zbl 0673.92001 2 1986 Theory and applications of the generalized conjugate gradient method. Zbl 0606.90114Marchuk, G. I.; Kuznetsov, Yu. A. 1 1986 Mathematical models in immunology. (Matematicheskie modeli v immunologii). 2nd ed., rev. and compl. Zbl 0603.92004Marchuk, G. I. 9 1985 Difference methods and their extrapolations. Transl. from the Russian. Zbl 0511.65076Marchuk, G. I.; Shaidurov, V. V. 109 1983 Mathematical models in immunology. Transl. from the Russian. Zbl 0556.92006Marchuk, 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 0514.65074Marchuk, G. I.; Kuzin, V. I. 2 1983 A mathematical model of antiviral immune response. Zbl 0572.92008Marchuk, G. I.; Petrov, R. V. 1 1983 The mathematical model of the anti-viral immune response. Zbl 0524.92002Marchuk, G. I.; Petrov, R. V. 1 1983 Methods of numerical mathematics. Transl. from the Russian by Arthur A. Brown. 2nd ed. Zbl 0485.65003Marchuk, G. I. 85 1982 Mathematical modelling in the problem of environment. (Matematicheskoe modelirovanie v probleme okruzhayushchej sredy). Zbl 0493.90001Marchuk, G. I. 12 1982 On the problem of mathematical modeling of ecological situations in water basins. Zbl 0522.92026Marchuk, G. I. 4 1982 A more precise mathematical model of an infectious disease. Zbl 0534.92007Asachenkov, A. L.; Marchuk, G. I. 2 1982 Qualitative analysis of the simplest mathematical model of an infectious disease. Zbl 0536.92010Belykh, L. N.; Marchuk, G. I. 1 1982 Introduction to projection-grid methods. (Vvedenie v proektsionno- setochnye metody). Zbl 0642.65037Marchuk, G. I.; Agoshkov, V. I. 77 1981 Kinetic equations and variational principles. Zbl 0471.45007Marchuk, G. I.; Agoshkov, V. I. 2 1981 Methods of numerical mathematics. Textbook. (Metody vychislitel’noj matematiki. Uchebnoe posobie). 2nd ed., rev. and enl. Zbl 0485.65002Marchuk, G. I. 24 1980 Mathematical models in immunology. (Matematicheskie modeli v immunologii). Zbl 0505.92006Marchuk, G. I. 16 1980 Increasing the accuracy of solutions of difference schemes. (Повышение точности решений разностных схем.) Zbl 0496.65046Marchuk, G. I.; Shaĭdurov, V. V. 13 1979 Application of optimization methods to the problem of mathematical simulation of atmospheric processes and environment. Zbl 0419.49006Marchuk, G. I.; Penenko, V. V. 3 1979 Chronic forms of a disease and their treatment according to mathematical immune response models. Zbl 0407.92008Belykh, L. N.; Marchuk, G. I. 1 1979 Some mathematical models in immunology. Zbl 0487.92003Marchuk, 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 0329.65002Marchuk, G. I. 68 1975 Formulation of the theory of perturbations for complicated models. Zbl 0324.65053Marchuk, G. I. 6 1975 Iterative methods for the solution of systems of linear equations with singular matrices. Zbl 0313.65026Marchuk, G. I.; Kuznetsov, Yu. A. 1 1975 Increase of accuracy of projective-difference schemes. Zbl 0289.65039Marchuk, G. I.; Shaydourov, V. V. 1 1974 Introduction into the methods of numerical analysis. Zbl 0278.65099Marchuk, G. I. 8 1973 Perturbation theory and the statement of inverse problems. Zbl 0288.65033Marchuk, G. I. 5 1973 Numerical methods and computer applications in meteorology. Zbl 0254.65078Marchuk, G. I. 1 1972 Numerical methods in the theory of neutron transport. (Chislennye metody v teorii perenosa nejtronov.). Zbl 0234.65102Marchuk, G. I.; Lebedev, V. I. 25 1971 On the theory of the splitting-up method. Zbl 0245.65045Marchuk, G. I. 7 1971 Methods and problems of computational mathematics. Zbl 0244.65066Marchuk, G. I. 3 1971 Some application of splitting-up methods to the solution of mathematical physics problems. Zbl 0159.44702Marchuk, G. I. 42 1968 On optimal iteration processes. Zbl 0179.21406Marchuk, G. I.; Kuznetsov, Yu. A. 2 1968 Computation methods in transfer theory. Zbl 0197.14001Marchuk, G. I. 2 1968 Numerische Methoden in der Wettervoraussage. Zbl 0193.55101Marchuk, G. I. 1 1967 An existence theorem for the problem of short term weather forecast. Zbl 0163.12201Demidov, G. V.; Marchuk, G. I. 3 1966 Proof of a resolution method for the equations of radiation transfer. Zbl 0162.47403Marchuk, G. I.; Sultangazin, U. M. 3 1965 The solution of a multidimensional kinetic equation by the splitting method. Zbl 0163.23201Marchuk, G. I.; Yanenko, N. N. 5 1964 Formulation of some converse problems. Zbl 0197.41201Marchuk, G. I. 5 1964 Theory and methods of nuclear reactor calculations. Zbl 0134.46303Marchuk, G. I. 2 1964 all cited Publications top 5 cited Publications all top 5 Cited by 1,372 Authors 31 Vabishchevich, Pëtr Nikolaevich 24 Shutyaev, Victor Petrovich 20 Glowinski, Roland 16 Bocharov, Gennady A. 15 Agoshkov, Valeriĭ Ivanovich 14 Shishkin, Grigoriĭ Ivanovich 13 Parmuzin, Eugene I. 10 Pan, Tsorng-Whay 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 Rogava, Jemal L. 8 Vulkov, Lubin G. 8 Zlatev, Zahari 7 Baker, Christopher Thomas Hale 7 Csomós, Petra 7 Han, Guoqiang 7 Pyatkov, Sergeĭ Grigor’evich 7 Rihan, Fathalla A. 7 Smagin, Viktor Vasil’evich 7 Voĭtishek, Anton Vaclavovich 6 Alekseev, Aleksey K. 6 Čiegis, Raimondas 6 García-Chan, Néstor 6 Gejadze, Igor Yu. 6 Guidoboni, Giovanna 6 Konovalov, Anatoliĭ Nikolaevich 6 Marchuk, Guriĭ Ivanovich 6 Sadovskii, Vladimir M. 6 Shishkina, Lidia P. 5 Belyaev, Konstantin P. 5 Efendiev, Yalchin R. 5 Grebennikov, Dmitry S. 5 Hundsdorfer, Willem H. 5 Jorge, Juan Carlos 5 Khristichenko, Michael Yu. 5 Kurganov, Alexander 5 Lima, Pedro Miguel 5 Moiseev, N. Ya. 5 Nechepurenko, Yuri M. 5 Périaux, Jacques F. 5 Pertsev, Nikolaĭ Viktorovich 5 Portero, Laura 5 Romanyukha, Alexei A. 5 Tai, Xuecheng 5 Tanajura, Clemente A. S. 5 Yuan, Yirang 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 Havasi, Ágnes 4 Hu, Hongling 4 Kazantsev, Eugene 4 Kolesov, Aleksandr Egorovich 4 Kuznetsov, Yurii Alekseevich 4 Leung, Wingtat 4 Namm, Robert V. 4 Navon, Ionel Michael 4 Pan, Kejia 4 Penenko, Alexey V. 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 Zakharova, Natalia B. 4 Zlotnik, Alexander A. 3 Allen, Edward James 3 Atoev, K. L. 3 Chen, Chuanmiao 3 Cheng, Aijie 3 Chertock, Alina E. 3 Climent, Joan-Josep 3 Dang Quang A 3 Diogo, Teresa 3 Evans, David John 3 Galanin, M. P. 3 Georgiev, Slavi G. 3 Gulua, David 3 Gyöngy, István 3 Hesla, Todd I. 3 Huang, Chengming 3 Il’in, Valeriĭ Pavlovich ...and 1,272 more Authors all top 5 Cited in 206 Serials 69 Journal of Computational and Applied Mathematics 62 Journal of Computational Physics 40 Computational Mathematics and Mathematical Physics 40 Russian Journal of Numerical Analysis and Mathematical Modelling 36 Applied Mathematics and Computation 33 Differential Equations 30 Computers & Mathematics with Applications 30 Applied Numerical Mathematics 29 Computer Methods in Applied Mechanics and Engineering 26 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 9 SIAM Journal on Scientific Computing 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 6 International Journal for Numerical Methods in Fluids 6 Lithuanian Mathematical Journal 6 BIT 6 Automation and Remote Control 6 Doklady Mathematics 6 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 6 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 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 5 Numerical Algorithms 4 Theoretical and Mathematical Physics 4 Chaos, Solitons and Fractals 4 Acta Applicandae Mathematicae 4 Physica D 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 Matematicheskie Trudy 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 4 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 3 Computers and Fluids 3 Journal of Applied Mathematics and Mechanics 3 Mathematical Biosciences 3 Moscow University Mathematics Bulletin 3 Calcolo 3 Computing 3 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Chinese Annals of Mathematics. Series B 3 Numerical Methods for Partial Differential Equations 3 Russian Mathematics 3 Computational and Applied Mathematics 3 Georgian Mathematical Journal 3 Monte Carlo Methods and Applications 3 International Journal of Computational Fluid Dynamics 3 Abstract and Applied Analysis 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 2 Bulletin of Mathematical Biology 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 Fractional Calculus & Applied Analysis 2 European Journal of Mechanics. B. Fluids 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 106 more Serials all top 5 Cited in 41 Fields 603 Numerical analysis (65-XX) 324 Partial differential equations (35-XX) 178 Fluid mechanics (76-XX) 133 Biology and other natural sciences (92-XX) 111 Ordinary differential equations (34-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 68 Integral equations (45-XX) 63 Geophysics (86-XX) 60 Mechanics of deformable solids (74-XX) 44 Systems theory; control (93-XX) 34 Statistical mechanics, structure of matter (82-XX) 31 Classical thermodynamics, heat transfer (80-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Operator theory (47-XX) 25 Optics, electromagnetic theory (78-XX) 21 Probability theory and stochastic processes (60-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 Approximations and expansions (41-XX) 14 Statistics (62-XX) 14 Computer science (68-XX) 12 Quantum theory (81-XX) 12 Astronomy and astrophysics (85-XX) 12 Operations research, mathematical programming (90-XX) 10 Difference and functional equations (39-XX) 7 Real functions (26-XX) 6 Functional analysis (46-XX) 6 Information and communication theory, circuits (94-XX) 5 History and biography (01-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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