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Tikhonov, Andreĭ Nikolaevich

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Author ID: tikhonov.andrej-nikolaevich Recent zbMATH articles by "Tikhonov, Andreĭ Nikolaevich"
Published as: Tichonov, A.; Tichonov, Andrej N.; Tichonow, A. N.; Tichonow, Andrej Nikolajewitsch; Tikhonov, A.; Tikhonov, A. N.; Tikhonov, Andrej N.; Tikhonov, Andrej Nikolaevich; Tikhonov, Andrey N.; Tikhonov, Andreĭ Nikolaevich; Tychonoff, A.; Tychonoff, A. N.; Tychonov, A. N.
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Documents Indexed: 208 Publications since 1925, including 53 Books
Biographic References: 32 Publications
all top 5

Co-Authors

70 single-authored
45 Samarskiĭ, Aleksandr Andreevich
14 Sveshnikov, Alekseĭ Georgievich
12 Il’in, Vladimir Aleksandrovich
8 Yagola, Anatoliĭ Grigor’evich
7 Arsenin, V. Ya.
7 Erugin, Nikolaĭ Pavlovich
7 Glasko, V. B.
6 Arsen’ev, Alekseĭ Alekseevich
6 Gorbunov, A. D.
6 Vasil’eva, Adelaida Borisovna
5 Budak, Boris Mikhailovich
5 Krasovskiĭ, Nikolaĭ Nikolaevich
5 Leonov, Aleksandr Sergeevich
5 Sobolev, Sergeĭ L’vovich
4 Bitsadze, Andreĭ Vasil’evich
4 Il’ynsky, A. S.
4 Stepanov, Vyacheslav Vasil’evich
4 Zyabrev, N. B.
3 Bol’shev, Login Nikolaevich
3 Egorushkin, A. A.
3 Lavrent’ev, Mikhail Mikhaĭlovich
2 Agayan, G. M.
2 Emel’yanov, Stanislav Vasil’evich
2 Gaĭsaryan, S. S.
2 Gajsaryan, S. S.
2 Galkin, V. Ya.
2 Goncharskij, A. V.
2 Ivanov, Valentin Konstantinovich
2 Kamenskiĭ, Georgiĭ Aleksandrovich
2 Kolmogorov, Andreĭ Nikolaevich
2 Kondrat’ev, K. Ya.
2 Kostomarov, Dmitrii Pavlovich
2 Kulik, N. I.
2 Moiseev, Evgeniĭ Ivanovich
2 Myshkis, Anatoliĭ Dmitrievich
2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
2 Norkin, S. B.
2 Oleĭnik, Ol’ga Arsen’evna
2 Prilepko, Alekseĭ Ivanovich
2 Prokhorov, Yuriĭ Vasil’evich
2 Ryutin, A. A.
2 Shklyarov, I. N.
2 Sotskov, Boris Stepanovich
2 Sretenskij, Leonid Nikolaevič
2 Stepanov, Vjacelav Vasil’evic
2 Timonov, A. A.
2 Vasil’ev, Fedor Pavlovich
2 Vasin, Igor A.
2 Vatutin, Vladimir Alekseevich
2 Zverkin, A. M.
1 Akhmanov, S. A.
1 Aleksandrov, Pavel Sergeevich
1 Alikaev, V. V.
1 Allakhverdiev, Jalal Eyvaz
1 Andreev, Alekseĭ Fedorovich
1 Andreev, Anatoly V.
1 Arsenin, Vasiliy Y.
1 Babaev, Azad A.
1 Boulanger, J. D.
1 Denisov, Alexander Mikhailovich
1 Dmitriev, Vladimir Ivanovich
1 Dolgov, O. A.
1 Dorodnitsyn, Anatoliĭ Alekseevich
1 Doronitsyn, A. A.
1 Dumova, A. A.
1 Efremov, A. A.
1 Fomin, Sergey Vasil’evich
1 Galkin, V. J.
1 Goncharsky, Alexander V.
1 Il’in, M. E.
1 Ivanov, Evgeniĭ Alekseevich
1 Izobov, Nikolaĭ Alekseevich
1 Karmanov, Vladimir G.
1 Kiguradze, Ivan Tarielovich
1 Kriksin, Yu. A.
1 Krylov, Andreĭ Serdzhevich
1 Kudryavtsev, Lev Dmitrievich
1 Kuhnert, Frieder
1 Kupradze, Viktor Dmitrievich
1 Kurdyumov, Sergeĭ Pavlovich
1 Kuznetsov, N. N.
1 Logunov, S. L.
1 Lomov, Igor’ Sergeevich
1 Luk’yanov, A. V.
1 Lyusternik, Lazar’ Aronovich
1 Maksudov, Faramaz Gazanfar
1 Millionshchikov, Vladimir Mikhaĭlovich
1 Mochalov, V. I.
1 Morozov, Vladimir Alekseevich
1 Moszynski, Krzysztof
1 Neklyudov, P. A.
1 Nemytskiĭ, Viktor Vladimirovich
1 Orlin, V. N.
1 Phiss, V. A.
1 Plokhotnikov, K. Eh.
1 Potapov, Mikhaĭl Mikhaĭlovich
1 Poveshchenko, Yu. A.
1 Prijmak, V. G.
1 Rubashov, I. B.
1 Rudneva, T. L.
...and 21 more Co-Authors
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Serials

21 U.S.S.R. Computational Mathematics and Mathematical Physics
19 Soviet Mathematics. Doklady
10 Differentsial’nye Uravneniya
8 Mathematische Annalen
7 Doklady Akademii Nauk SSSR
7 Uspekhi Matematicheskikh Nauk [N. S.]
7 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série
5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
5 Differential Equations
5 Matematicheskiĭ Sbornik. Novaya Seriya
5 Recueil Mathématique
4 Russian Mathematical Surveys
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
2 Moscow University Computational Mathematics and Cybernetics
2 Soviet Physics. Doklady
2 Doklady Akademii Nauk SSSR. Novaya Seriya
2 Nauchnye Doklady Vyssheĭ Shkoly. Fiziko-Matematicheskie Nauki
2 Translations. Series 2. American Mathematical Society
2 Vychislitel’nye Metody i Programmirovanie
1 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Fundamenta Mathematicae
1 Voprosy Istorii Estestvoznaniya i Tekhniki
1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
1 Vestnik Moskovskogo Universiteta. Seriya 15
1 Mathematica Montisnigri
1 Kibernetika i Vychislitel’naya Tekhnika (Moskva)
1 Soviet Physics, JETP
1 Applied Mathematics and Mathematical Computation
1 Banach Center Publications
1 Proceedings of the Steklov Institute of Mathematics
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Beiträge zur Numerischen Mathematik

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 3,124 times in 2,840 Documents Cited by Year
Solutions of ill-posed problems. Translation editor Fritz John. Zbl 0354.65028
Tikhonov, Andrey N.; Arsenin, Vasiliy Y.
883
1977
The equations of mathematical physics. Zbl 0044.09302
Tikhonov, A. N.; Samarskiĭ, A. A.
432
1951
Solution of incorrectly formulated problems and the regularization method. Zbl 0141.11001
Tikhonov, A. N.
254
1963
Methods for the solution of ill-posed problems. (Metody resheniya nekorrektnykh zadach). 2nd ed., rev. and suppl. Zbl 0499.65030
Tikhonov, A. N.; Arsenin, V. Ya.
208
1979
Equations of mathematical physics. Translated by A. R. M. Robson and P. Basu. Translation edited by D. M. Brink. Zbl 0111.29008
Tikhonov, A. N.; Samarskii, A. A.
143
1963
Numerical methods for the solution of ill-posed problems. Rev., updated and transl. from the Russ. by R. A. M. Hoksbergen. Zbl 0831.65059
Tikhonov, A. N.; Goncharsky, A. V.; Stepanov, V. V.; Yagola, A. G.
117
1995
Regularization of incorrectly posed problems. Zbl 0183.11601
Tikhonov, A. N.
112
1963
Ein Fixpunktsatz. Zbl 0012.30803
Tychonoff, A.
99
1935
On the stability of the functional optimization problem. Zbl 0212.23803
Tikhonov, A. N.
84
1968
Nonlinear ill-posed problems. Zbl 0843.65041
Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G.
58
1996
Über die topologische Erweiterung von Räumen. JFM 55.0963.01
Tychonoff, A.
56
1929
Nonlinear ill-posed problems. Transl. from the Russian. Vol. 1 and 2. Zbl 0920.65038
Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G.
51
1998
On the stability of inverse problems. Zbl 0061.23308
Tikhonov, A. N.
45
1943
Théorèmes d’unicité pour l’équation de la chaleur. JFM 61.1203.05
Tychonoff, A.
43
1935
Systeme von Differentialgleichungen, die kleine Parameter bei den Ableitungen enthalten. Zbl 0048.07101
Tikhonov, A. N.
36
1952
Differential equations. Transl. from the Russian by A. B. Sossinskij. Zbl 0553.34001
Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G.
30
1985
Partial differential equations of mathematical physics. Vol. I. Zbl 0119.07703
Tychonov, A. N.; Samarski, A. A.
29
1964
Über die Abhängigkeit der Lösungen von Differentialgleichungen von einem kleinen Parameter. Zbl 0037.34401
Tikhonov, A. N.
25
1948
Théoremes d’unicité pour l’équation de la chaleur. Zbl 0012.35501
Tychonoff, A.
23
1935
Use of the regularization method in non-linear problems. Zbl 0189.49501
Tikhonov, A. N.; Glasko, V. B.
22
1967
A collection of problems of mathematical physics. Zbl 0118.39701
Budak, B. M.; Samarskij, A. A.; Tikhonov, A. N.
20
1964
Homogeneous difference schemes. Zbl 0131.34102
Tikhonov, A. N.; Samarskij, A. A.
20
1961
Ein Fixpunktsatz. JFM 61.1195.01
Tychonoff, A.
19
1935
Theory of functions of a complex variable. Zbl 0153.39601
Sveshnikov, A. G.; Tikhonov, A. N.
18
1967
Numerical methods for the solution of ill-posed problems. Zbl 0712.65042
Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G.
16
1990
Homogeneous difference schemes of a high degree of accuracy on non-nuniform nets. Zbl 0125.07303
Tikhonov, A. N.; Samarskii, A. A.
15
1961
Equations of mathematical physics. Zbl 0085.08102
Tychonoff, A. N.; Samarski, A. A.
15
1959
Differential equations. (Differentsial’nye uravneniya). Zbl 0481.34006
Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G.
14
1980
Über einen Metrisationssatz von P. Urysohn. JFM 51.0453.02
Tychonoff, A.
14
1925
Methoden zur Lösung inkorrekter Probleme. (Metody resheniya nekorrektnykh zadach.). Zbl 0309.65002
Tikhonov, A. N.; Arsenin, V. Ya.
10
1974
Gleichungen der mathematischen Physik. (Uravneniya matematicheskoj fiziki.) Lehrbuch. 4. verbess. Aufl. Zbl 0265.35003
Tikhonov, A. N.; Samarskij, A. A.
10
1972
Homogeneous difference schemes on non-uniform nets. Zbl 0128.36702
Tikhonov, A. N.; Samarskij, A. A.
10
1962
Methods for the regularization of optimal control systems. Zbl 0144.12704
Tikhonov, A. N.
9
1965
The asymptotic behaviour of integrals containing Bessel functions. Zbl 0088.27602
Tikhonov, A. N.
9
1959
Mathematical problems in computer tomography. (Matematicheskie zadachi komp’yuternoj tomografii). Zbl 0641.92001
Tikhonov, A. N.; Arsenin, V. Ya.; Timonov, A. A.
8
1987
Nonlinear incorrect problems. Zbl 0856.65066
Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G.
7
1995
Regularizing algorithms and a priori information. (Regulyariziruyushchie algoritmy i apriornaya informatsiya). Zbl 0529.65027
Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G.
7
1983
The approximate solution of Fredholm integral equations of the first kind. Zbl 0149.11405
Tikhonov, A. N.; Glasko, V. B.
7
1966
Incorrect problems of linear algebra and a stable method for their solution. Zbl 0196.48001
Tikhonov, A. N.
7
1965
Nonlinear equations of the first kind. Zbl 0141.13301
Tikhonov, A. N.
7
1965
Approximate systems of linear algebraic equations. Zbl 0492.65014
Tikhonov, A. N.
6
1980
On the question of quasi-optimal choice of a regularized approximation. Zbl 0439.41028
Tikhonov, A. N.; Glasko, V. B.; Kriksin, Yu. A.
6
1979
The theory of functions of a complex variable. Zbl 0212.42101
Sveshnikov, A. G.; Tikhonov, A. N.
6
1971
Stable methods for the summation of Fourier series. Zbl 0161.25801
Tikhonov, A. N.
6
1964
On homogeneous difference schemes of high order of accuracy on non-uniform nets. Zbl 0128.36801
Tikhonov, A. N.; Samarskii, A. A.
6
1963
On systems of differential equations containing parameters. Zbl 0041.42316
Tikhonov, A. N.
6
1950
Über einen Funktionenraum. Zbl 0012.30802
Tychonoff, A.
6
1935
Methods of determining the surfaces temperature of a body. Zbl 0175.16301
Tikhonov, A. N.; Glasko, V. B.
5
1967
The stability of algorithms for the solution of degenerate systems of linear algebraic equations. Zbl 0161.35404
Tikhonov, A. N.
5
1967
Über die Eindeutigkeit der Lösung des Problems der Elektro-Schürfung. Zbl 0040.12201
Tikhonov, A. N.
5
1949
Beweis des Satzes, daß ein metrisierbarer Raum dann und nur dann kompakt ist, wenn er in jeder Metrik vollständig ist. JFM 54.0625.02
Niemytzki, V.; Tychonoff, A.
5
1928
The problem of linear programming with approximate data. Zbl 0585.90059
Agayan, G. M.; Ryutin, A. A.; Tikhonov, A. N.
4
1984
On a reciprocity principle. Zbl 0489.49007
Tikhonov, A. N.
4
1980
The Sturm-Liouville difference problem. Zbl 0129.09801
Tikhonov, A. N.; Samarskii, A. A.
4
1961
Convergence of difference schemes in the class of discontinuous coefficients. Zbl 0090.34201
Tikhonov, A. N.; Samarskiĭ, A. A.
4
1959
Sur l’équation de la chaleur à plusieurs variables. Zbl 0024.11201
Tychonoff, A.
4
1938
Regularization methods for ill-posed problems. Zbl 0502.65035
Tikhonov, A. N.; Morozov, V. A.
3
1981
Equazioni della fisica matematica. Traduzione di Alexandr Machov. Zbl 0489.35001
Tikhonov, Andrej N.; Samarskij, Aleksandr A.
3
1981
Improper problems of optimal planning and stable methods for their solution. Zbl 0141.17301
Tikhonov, A. N.
3
1965
Théorie mathématique du couple thermoélectrique. Zbl 0013.28805
Tychonoff, A.
3
1935
The theory of functions of a complex variable. Transl. from the Russian by George Yankovsky. 2nd ed., 2nd printing. Zbl 0531.30002
Sveshnikov, A. G.; Tikhonov, A. N.
2
1982
Problemi della fisica matematica. Traduzione del russo di Alexandr Machov. Zbl 0513.35001
Tichonov, Andrej N.; Samarskij, Aleksandr A.; Budak, Boris M.
2
1982
A collection of problems in mathematical physics. (Sbornik zadach po matematicheskoj fizike). 3rd ed. Zbl 0544.35002
Budak, B. M.; Samarskij, A. A.; Tikhonov, A. N.
2
1980
Improperly posed problems. Zbl 0346.35089
Tikhonov, A. N.; Ivanov, V. K.; Lavrent’ev, M. M.
2
1970
Incorrectly posed problems of optimal programming. Zbl 0158.18702
Tikhonov, A. N.
2
1968
Pavel Sergeevich Aleksandrov (zum siebzigsten Geburtstag und zum fünfzigsten Jahr seiner wissenschaftlichen Tätigkeit). Zbl 0147.24404
Kolmogorov, A. N.; Lyusternik, L. A.; Smirnov, Yu. M.; Tikhonov, A. N.; Fomin, S. V.
2
1966
Solution of nonlinear integral equations of the frist kind. Zbl 0183.11506
Tikhonov, A. N.
2
1964
Discontinuous solutions of quasilinear equations of the first order. Zbl 0154.10802
Tikhonov, A. N.; Samarskij, A. A.
2
1964
Sur les équations fonctionnelles de Volterra et leurs applications à certains problèmes de la physique mathématique. Zbl 0021.23404
Tychonoff, A.
2
1938
Théorèmes d’unicité pour l’équation de la chaleur. JFM 61.0456.04
Tichonov, A.
2
1935
Über unendliche Systeme von Differentialgleichungen. Zbl 0011.34902
Tychonoff, A.
2
1934
Andreĭ Nikolaevich Tikhonov. Collection of scientific works. In ten volumes. Vol. 2: Mathematics. Part 2: Numerical mathematics 1956–1979. Mathematical physics 1933–1948. Edited by T. A. Sushkevich. Zbl 1200.01055
Tikhonov, Andreĭ Nikolaevich
1
2009
The theory of functions of a complex variable. 6th ed. Zbl 1055.30500
Sveshnikov, A. G.; Tikhonov, A. N.
1
2001
Methods of mathematical modeling and computer diagnosis. Work collection. Zbl 0712.00006
Tikhonov, A. N. (ed.); Samarskij, A. A. (ed.)
1
1990
Methods of small parameter and their application. Zbl 0608.34001
Tikhonov, A. N.
1
1985
On problems with imprecisely given initial information. Zbl 0604.65018
Tikhonov, A. N.
1
1985
On a stable method of solving a linear programming problem with approximate data. Zbl 0549.65036
Tikhonov, A. N.; Ryutin, A. A.; Agayan, G. M.
1
1983
Petr Ivanovich Kuznetsov (Zum 40. Jahr der wissenschaftlichen Tätigkeit). Zbl 0318.01020
Bol’shev, L. N.; Il’in, V. A.; Krasovskij, N. N.; Prokhorov, Yu. V.; Sotskov, B. S.; Tikhonov, A. N.
1
1976
The theory of functions of a complex variable. Translated from the Russian by George Yankovsky. Zbl 0299.30001
Sveshnikov, A. G.; Tikhonov, A. N.
1
1973
Estimates of the error of a Runge-Kutta method and the choice of optimal meshes. Zbl 0154.40606
Tikhonov, A. N.; Gorbunov, A. D.
1
1966
Über die Entwicklung von Integralen mit einem Kern vom Typus der \(\delta\)-Funktion nach einem Parameter. Zbl 0095.05202
Tikhonov, A. N.; Samarskij, A. A.
1
1959
Sur les équations fonctionelles de Volterra et leurs applications à certains problèmes de la physique mathématique. JFM 64.1115.02
Tychonoff, A.
1
1938
Über einen topologischen Universalraum. Zbl 0015.08201
Tikhonov, A.
1
1936
Über einen Funktionenraum. JFM 61.1194.04
Tychonoff, A.
1
1935
Über die Räume der fastperiodischen Funktionen. Zbl 0009.34901
Stepanoff, W.; Tychonoff, A.
1
1934
Über unendliche Systeme von Differentialgleichungen. JFM 60.1085.04
Tychonoff, A.
1
1934
Sur les espaces des fonctions presque périodiques. Zbl 0006.42704
Stepanoff, W.; Tychonoff, A.
1
1933
Andreĭ Nikolaevich Tikhonov. Collection of scientific works. In ten volumes. Vol. 2: Mathematics. Part 2: Numerical mathematics 1956–1979. Mathematical physics 1933–1948. Edited by T. A. Sushkevich. Zbl 1200.01055
Tikhonov, Andreĭ Nikolaevich
1
2009
The theory of functions of a complex variable. 6th ed. Zbl 1055.30500
Sveshnikov, A. G.; Tikhonov, A. N.
1
2001
Nonlinear ill-posed problems. Transl. from the Russian. Vol. 1 and 2. Zbl 0920.65038
Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G.
51
1998
Nonlinear ill-posed problems. Zbl 0843.65041
Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G.
58
1996
Numerical methods for the solution of ill-posed problems. Rev., updated and transl. from the Russ. by R. A. M. Hoksbergen. Zbl 0831.65059
Tikhonov, A. N.; Goncharsky, A. V.; Stepanov, V. V.; Yagola, A. G.
117
1995
Nonlinear incorrect problems. Zbl 0856.65066
Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G.
7
1995
Numerical methods for the solution of ill-posed problems. Zbl 0712.65042
Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G.
16
1990
Methods of mathematical modeling and computer diagnosis. Work collection. Zbl 0712.00006
Tikhonov, A. N. (ed.); Samarskij, A. A. (ed.)
1
1990
Mathematical problems in computer tomography. (Matematicheskie zadachi komp’yuternoj tomografii). Zbl 0641.92001
Tikhonov, A. N.; Arsenin, V. Ya.; Timonov, A. A.
8
1987
Differential equations. Transl. from the Russian by A. B. Sossinskij. Zbl 0553.34001
Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G.
30
1985
Methods of small parameter and their application. Zbl 0608.34001
Tikhonov, A. N.
1
1985
On problems with imprecisely given initial information. Zbl 0604.65018
Tikhonov, A. N.
1
1985
The problem of linear programming with approximate data. Zbl 0585.90059
Agayan, G. M.; Ryutin, A. A.; Tikhonov, A. N.
4
1984
Regularizing algorithms and a priori information. (Regulyariziruyushchie algoritmy i apriornaya informatsiya). Zbl 0529.65027
Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G.
7
1983
On a stable method of solving a linear programming problem with approximate data. Zbl 0549.65036
Tikhonov, A. N.; Ryutin, A. A.; Agayan, G. M.
1
1983
The theory of functions of a complex variable. Transl. from the Russian by George Yankovsky. 2nd ed., 2nd printing. Zbl 0531.30002
Sveshnikov, A. G.; Tikhonov, A. N.
2
1982
Problemi della fisica matematica. Traduzione del russo di Alexandr Machov. Zbl 0513.35001
Tichonov, Andrej N.; Samarskij, Aleksandr A.; Budak, Boris M.
2
1982
Regularization methods for ill-posed problems. Zbl 0502.65035
Tikhonov, A. N.; Morozov, V. A.
3
1981
Equazioni della fisica matematica. Traduzione di Alexandr Machov. Zbl 0489.35001
Tikhonov, Andrej N.; Samarskij, Aleksandr A.
3
1981
Differential equations. (Differentsial’nye uravneniya). Zbl 0481.34006
Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G.
14
1980
Approximate systems of linear algebraic equations. Zbl 0492.65014
Tikhonov, A. N.
6
1980
On a reciprocity principle. Zbl 0489.49007
Tikhonov, A. N.
4
1980
A collection of problems in mathematical physics. (Sbornik zadach po matematicheskoj fizike). 3rd ed. Zbl 0544.35002
Budak, B. M.; Samarskij, A. A.; Tikhonov, A. N.
2
1980
Methods for the solution of ill-posed problems. (Metody resheniya nekorrektnykh zadach). 2nd ed., rev. and suppl. Zbl 0499.65030
Tikhonov, A. N.; Arsenin, V. Ya.
208
1979
On the question of quasi-optimal choice of a regularized approximation. Zbl 0439.41028
Tikhonov, A. N.; Glasko, V. B.; Kriksin, Yu. A.
6
1979
Solutions of ill-posed problems. Translation editor Fritz John. Zbl 0354.65028
Tikhonov, Andrey N.; Arsenin, Vasiliy Y.
883
1977
Petr Ivanovich Kuznetsov (Zum 40. Jahr der wissenschaftlichen Tätigkeit). Zbl 0318.01020
Bol’shev, L. N.; Il’in, V. A.; Krasovskij, N. N.; Prokhorov, Yu. V.; Sotskov, B. S.; Tikhonov, A. N.
1
1976
Methoden zur Lösung inkorrekter Probleme. (Metody resheniya nekorrektnykh zadach.). Zbl 0309.65002
Tikhonov, A. N.; Arsenin, V. Ya.
10
1974
The theory of functions of a complex variable. Translated from the Russian by George Yankovsky. Zbl 0299.30001
Sveshnikov, A. G.; Tikhonov, A. N.
1
1973
Gleichungen der mathematischen Physik. (Uravneniya matematicheskoj fiziki.) Lehrbuch. 4. verbess. Aufl. Zbl 0265.35003
Tikhonov, A. N.; Samarskij, A. A.
10
1972
The theory of functions of a complex variable. Zbl 0212.42101
Sveshnikov, A. G.; Tikhonov, A. N.
6
1971
Improperly posed problems. Zbl 0346.35089
Tikhonov, A. N.; Ivanov, V. K.; Lavrent’ev, M. M.
2
1970
On the stability of the functional optimization problem. Zbl 0212.23803
Tikhonov, A. N.
84
1968
Incorrectly posed problems of optimal programming. Zbl 0158.18702
Tikhonov, A. N.
2
1968
Use of the regularization method in non-linear problems. Zbl 0189.49501
Tikhonov, A. N.; Glasko, V. B.
22
1967
Theory of functions of a complex variable. Zbl 0153.39601
Sveshnikov, A. G.; Tikhonov, A. N.
18
1967
Methods of determining the surfaces temperature of a body. Zbl 0175.16301
Tikhonov, A. N.; Glasko, V. B.
5
1967
The stability of algorithms for the solution of degenerate systems of linear algebraic equations. Zbl 0161.35404
Tikhonov, A. N.
5
1967
The approximate solution of Fredholm integral equations of the first kind. Zbl 0149.11405
Tikhonov, A. N.; Glasko, V. B.
7
1966
Pavel Sergeevich Aleksandrov (zum siebzigsten Geburtstag und zum fünfzigsten Jahr seiner wissenschaftlichen Tätigkeit). Zbl 0147.24404
Kolmogorov, A. N.; Lyusternik, L. A.; Smirnov, Yu. M.; Tikhonov, A. N.; Fomin, S. V.
2
1966
Estimates of the error of a Runge-Kutta method and the choice of optimal meshes. Zbl 0154.40606
Tikhonov, A. N.; Gorbunov, A. D.
1
1966
Methods for the regularization of optimal control systems. Zbl 0144.12704
Tikhonov, A. N.
9
1965
Incorrect problems of linear algebra and a stable method for their solution. Zbl 0196.48001
Tikhonov, A. N.
7
1965
Nonlinear equations of the first kind. Zbl 0141.13301
Tikhonov, A. N.
7
1965
Improper problems of optimal planning and stable methods for their solution. Zbl 0141.17301
Tikhonov, A. N.
3
1965
Partial differential equations of mathematical physics. Vol. I. Zbl 0119.07703
Tychonov, A. N.; Samarski, A. A.
29
1964
A collection of problems of mathematical physics. Zbl 0118.39701
Budak, B. M.; Samarskij, A. A.; Tikhonov, A. N.
20
1964
Stable methods for the summation of Fourier series. Zbl 0161.25801
Tikhonov, A. N.
6
1964
Solution of nonlinear integral equations of the frist kind. Zbl 0183.11506
Tikhonov, A. N.
2
1964
Discontinuous solutions of quasilinear equations of the first order. Zbl 0154.10802
Tikhonov, A. N.; Samarskij, A. A.
2
1964
Solution of incorrectly formulated problems and the regularization method. Zbl 0141.11001
Tikhonov, A. N.
254
1963
Equations of mathematical physics. Translated by A. R. M. Robson and P. Basu. Translation edited by D. M. Brink. Zbl 0111.29008
Tikhonov, A. N.; Samarskii, A. A.
143
1963
Regularization of incorrectly posed problems. Zbl 0183.11601
Tikhonov, A. N.
112
1963
On homogeneous difference schemes of high order of accuracy on non-uniform nets. Zbl 0128.36801
Tikhonov, A. N.; Samarskii, A. A.
6
1963
Homogeneous difference schemes on non-uniform nets. Zbl 0128.36702
Tikhonov, A. N.; Samarskij, A. A.
10
1962
Homogeneous difference schemes. Zbl 0131.34102
Tikhonov, A. N.; Samarskij, A. A.
20
1961
Homogeneous difference schemes of a high degree of accuracy on non-nuniform nets. Zbl 0125.07303
Tikhonov, A. N.; Samarskii, A. A.
15
1961
The Sturm-Liouville difference problem. Zbl 0129.09801
Tikhonov, A. N.; Samarskii, A. A.
4
1961
Equations of mathematical physics. Zbl 0085.08102
Tychonoff, A. N.; Samarski, A. A.
15
1959
The asymptotic behaviour of integrals containing Bessel functions. Zbl 0088.27602
Tikhonov, A. N.
9
1959
Convergence of difference schemes in the class of discontinuous coefficients. Zbl 0090.34201
Tikhonov, A. N.; Samarskiĭ, A. A.
4
1959
Über die Entwicklung von Integralen mit einem Kern vom Typus der \(\delta\)-Funktion nach einem Parameter. Zbl 0095.05202
Tikhonov, A. N.; Samarskij, A. A.
1
1959
Systeme von Differentialgleichungen, die kleine Parameter bei den Ableitungen enthalten. Zbl 0048.07101
Tikhonov, A. N.
36
1952
The equations of mathematical physics. Zbl 0044.09302
Tikhonov, A. N.; Samarskiĭ, A. A.
432
1951
On systems of differential equations containing parameters. Zbl 0041.42316
Tikhonov, A. N.
6
1950
Über die Eindeutigkeit der Lösung des Problems der Elektro-Schürfung. Zbl 0040.12201
Tikhonov, A. N.
5
1949
Über die Abhängigkeit der Lösungen von Differentialgleichungen von einem kleinen Parameter. Zbl 0037.34401
Tikhonov, A. N.
25
1948
On the stability of inverse problems. Zbl 0061.23308
Tikhonov, A. N.
45
1943
Sur l’équation de la chaleur à plusieurs variables. Zbl 0024.11201
Tychonoff, A.
4
1938
Sur les équations fonctionnelles de Volterra et leurs applications à certains problèmes de la physique mathématique. Zbl 0021.23404
Tychonoff, A.
2
1938
Sur les équations fonctionelles de Volterra et leurs applications à certains problèmes de la physique mathématique. JFM 64.1115.02
Tychonoff, A.
1
1938
Über einen topologischen Universalraum. Zbl 0015.08201
Tikhonov, A.
1
1936
Ein Fixpunktsatz. Zbl 0012.30803
Tychonoff, A.
99
1935
Théorèmes d’unicité pour l’équation de la chaleur. JFM 61.1203.05
Tychonoff, A.
43
1935
Théoremes d’unicité pour l’équation de la chaleur. Zbl 0012.35501
Tychonoff, A.
23
1935
Ein Fixpunktsatz. JFM 61.1195.01
Tychonoff, A.
19
1935
Über einen Funktionenraum. Zbl 0012.30802
Tychonoff, A.
6
1935
Théorie mathématique du couple thermoélectrique. Zbl 0013.28805
Tychonoff, A.
3
1935
Théorèmes d’unicité pour l’équation de la chaleur. JFM 61.0456.04
Tichonov, A.
2
1935
Über einen Funktionenraum. JFM 61.1194.04
Tychonoff, A.
1
1935
Über unendliche Systeme von Differentialgleichungen. Zbl 0011.34902
Tychonoff, A.
2
1934
Über die Räume der fastperiodischen Funktionen. Zbl 0009.34901
Stepanoff, W.; Tychonoff, A.
1
1934
Über unendliche Systeme von Differentialgleichungen. JFM 60.1085.04
Tychonoff, A.
1
1934
Sur les espaces des fonctions presque périodiques. Zbl 0006.42704
Stepanoff, W.; Tychonoff, A.
1
1933
Über die topologische Erweiterung von Räumen. JFM 55.0963.01
Tychonoff, A.
56
1929
Beweis des Satzes, daß ein metrisierbarer Raum dann und nur dann kompakt ist, wenn er in jeder Metrik vollständig ist. JFM 54.0625.02
Niemytzki, V.; Tychonoff, A.
5
1928
Über einen Metrisationssatz von P. Urysohn. JFM 51.0453.02
Tychonoff, A.
14
1925
all top 5

Cited by 4,216 Authors

25 Klibanov, Michael V.
25 Maksimov, Vyacheslav Ivanovich
17 Kokurin, Mikhail Yur’evich
16 Hofmann, Bernd
16 Leonov, Aleksandr Sergeevich
15 Aldashev, Serik Aĭmurzaevich
15 Hasanoǧlu, Alemdar
15 Marin, Liviu
13 Akulenko, Leonid Denisovich
13 Hon, Yiu-Chung
13 Lesnic, Daniel
13 Pillonetto, Gianluigi
13 Yang, Liu
12 Deng, Zuicha
12 Xiong, Xiangtuan
11 Dmitriev, Vladimir Ivanovich
10 Pereverzev, Sergei V.
10 Sabitov, Kamil’ Basirovich
10 Vatulyan, Aleksandr Ovanesovich
10 Wei, Ting
9 Beilina, Larisa
9 Peng, Jianwen
9 Sergienko, Ivan Vasylyovych
9 Vasil’ev, Fedor Pavlovich
9 Wang, Yanfei
9 Yu, Jianning
8 Anh, Lam Quoc
8 Pourgholi, Reza
8 Yagola, Anatoliĭ Grigor’evich
8 Yao, Jen-Chih
7 Bakushinskĭ, Anatoliĭ Borisovich B.
7 Denisov, Alexander Mikhailovich
7 Golubev, Yuriĭ K.
7 Huang, Nan-Jing
7 Huang, Xuexiang
7 Ingham, Derek Binns
7 Korotkiĭ, Aleksandr Illarionovich
7 Lalitha, C. S.
7 Loli Piccolomini, Elena
7 Lv, Xiaoguang
7 Mukhtarov, Oktay Sh.
7 Nguyen, Loc Hoang
7 Sanguineti, Marcello
7 Zhang, Ye
6 Alekseev, Gennady V.
6 Artem’eva, L. A.
6 Ascher, Uri M.
6 Cheng, Jin
6 Elliott, Lionel
6 Fu, Chuli
6 Gnecco, Giorgio
6 Groetsch, Charles W.
6 Kaltenbacher, Barbara
6 Klee, Victor LaRue
6 Landi, Germana
6 Liu, Jun
6 Mahmudov, Elimhan N.
6 Mas, André
6 Masouri, Zahra
6 Ramm, Alexander G.
6 Scherzer, Otmar
6 Skarin, Vladimir D.
6 Smirnova, Alexandra B.
6 Tikhonov, Andreĭ Nikolaevich
6 Viloche Bazán, Fermín S.
5 Aliyev, Ziyatkhan S.
5 Antipin, Anatoly S.
5 Aydemir, Kadriye
5 Bedrikovetsky, Pavel G.
5 Bulavatskyĭ, Volodymyr M.
5 Chen, Tianshi
5 Cheng, Xiaoliang
5 Dahmani, Abdelnasser
5 de Campos Velho, Haroldo Fraga
5 De Nicolao, Giuseppe
5 Deineka, V. S.
5 Engl, Heinz W.
5 He, Guoqiang
5 Herrlich, Horst
5 Jin, Qinian
5 Jódar Sanchez, Lucas Antonio
5 Li, Zi-Cai
5 Ljung, Lennart
5 Luk’yanenko, Dmitriĭ Vital’evich
5 Luo, Guanwei
5 Nesterov, Sergeĭ V.
5 Nguyen Huy Tuan
5 Prilepko, Alekseĭ Ivanovich
5 Qin, Haihua
5 Romanov, Vladimir Gavrilovich
5 Rozenberg, Valerii L’vovich
5 Shlapunov, Aleksandr Anatol’evich
5 Sidorov, Denis Nikolaevich
5 Trong, Dang Duc
5 Wangkeeree, Rabian
5 Wei, Yimin
5 Zakharov, Eugene V.
4 Ageev, Aleksandr Leonidovich
4 Akhtyamov, Azamat Moukhtarovich
4 Antonova, Tat’yana Vladimirovna
...and 4,116 more Authors
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Cited in 450 Serials

89 Applied Mathematics and Computation
81 Journal of Computational and Applied Mathematics
71 Journal of Applied Mathematics and Mechanics
65 Computational Mathematics and Mathematical Physics
64 Journal of Mathematical Analysis and Applications
52 Journal of Computational Physics
50 Journal of Inverse and Ill-Posed Problems
46 Computers & Mathematics with Applications
46 Applied Numerical Mathematics
46 Journal of Mathematical Sciences (New York)
45 Differential Equations
44 Ukrainian Mathematical Journal
44 Engineering Analysis with Boundary Elements
41 Mathematical Notes
39 Computational Mathematics and Modeling
37 Fluid Dynamics
36 Computer Methods in Applied Mechanics and Engineering
35 Automatica
34 Siberian Mathematical Journal
34 Applied Mathematical Modelling
27 Mathematische Annalen
27 Numerical Functional Analysis and Optimization
27 Automation and Remote Control
26 Inverse Problems
26 Cybernetics and Systems Analysis
26 Doklady Mathematics
26 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
25 Journal of Optimization Theory and Applications
24 Proceedings of the Steklov Institute of Mathematics
23 Transactions of the American Mathematical Society
22 Journal of Differential Equations
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 Mathematical and Computer Modelling
21 Russian Mathematics
20 Journal of Soviet Mathematics
20 Mathematical Problems in Engineering
18 Mathematical Biosciences
18 Prikladnaya Matematika i Mekhanika
18 Numerische Mathematik
18 Journal of Global Optimization
17 Applied Mathematics Letters
17 Neural Networks
17 Pattern Recognition
17 Journal of Mathematical Imaging and Vision
16 Soviet Applied Mechanics
15 Linear Algebra and its Applications
15 Nonlinear Analysis. Theory, Methods & Applications
14 Mathematics and Computers in Simulation
14 Numerical Algorithms
14 Inverse Problems and Imaging
13 Applicable Analysis
13 Mathematische Zeitschrift
13 Proceedings of the American Mathematical Society
13 Journal of Scientific Computing
13 Journal of Computer and Systems Sciences International
12 International Journal of Heat and Mass Transfer
12 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
12 Nonlinear Analysis. Real World Applications
11 International Journal of Engineering Science
11 Journal of Mathematical Biology
11 Wave Motion
11 Mathematics of Computation
11 Computing
11 Topology and its Applications
11 Journal of Integral Equations and Applications
10 Archive for Rational Mechanics and Analysis
10 Journal of Approximation Theory
10 Applied Mathematics and Mechanics. (English Edition)
9 The Annals of Statistics
9 Computational Optimization and Applications
9 Communications in Nonlinear Science and Numerical Simulation
9 Matematicheskoe Modelirovanie
8 Computer Physics Communications
8 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 BIT
8 Acta Applicandae Mathematicae
8 Physica D
8 Optimization
8 Journal of Complexity
8 Communications in Statistics. Theory and Methods
8 Computational and Applied Mathematics
8 Journal of Applied Mechanics and Technical Physics
8 Russian Physics Journal
8 SIAM Journal on Imaging Sciences
7 Information Sciences
7 Moscow University Computational Mathematics and Cybernetics
7 Neural Computation
7 International Applied Mechanics
7 Advances in Computational Mathematics
7 Journal of Mathematical Chemistry
7 Abstract and Applied Analysis
7 Optimization Methods & Software
7 Computational Geosciences
7 GEM - International Journal on Geomathematics
6 Acta Mechanica
6 International Journal of Solids and Structures
6 Journal of the Franklin Institute
6 Lithuanian Mathematical Journal
6 Applied Mathematics and Optimization
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Cited in 57 Fields

999 Numerical analysis (65-XX)
752 Partial differential equations (35-XX)
272 Operator theory (47-XX)
267 Mechanics of deformable solids (74-XX)
265 Calculus of variations and optimal control; optimization (49-XX)
213 Fluid mechanics (76-XX)
199 Ordinary differential equations (34-XX)
197 Operations research, mathematical programming (90-XX)
186 Integral equations (45-XX)
167 Computer science (68-XX)
160 Systems theory; control (93-XX)
158 Statistics (62-XX)
142 Biology and other natural sciences (92-XX)
133 Information and communication theory, circuits (94-XX)
94 Classical thermodynamics, heat transfer (80-XX)
91 Optics, electromagnetic theory (78-XX)
70 General topology (54-XX)
69 Geophysics (86-XX)
66 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
58 Probability theory and stochastic processes (60-XX)
46 Functional analysis (46-XX)
37 Harmonic analysis on Euclidean spaces (42-XX)
36 Approximations and expansions (41-XX)
32 Dynamical systems and ergodic theory (37-XX)
31 Linear and multilinear algebra; matrix theory (15-XX)
29 Integral transforms, operational calculus (44-XX)
29 Statistical mechanics, structure of matter (82-XX)
26 Potential theory (31-XX)
25 Quantum theory (81-XX)
23 Mechanics of particles and systems (70-XX)
22 Real functions (26-XX)
22 Functions of a complex variable (30-XX)
17 Special functions (33-XX)
16 Difference and functional equations (39-XX)
15 Global analysis, analysis on manifolds (58-XX)
11 Differential geometry (53-XX)
9 General and overarching topics; collections (00-XX)
9 History and biography (01-XX)
6 Mathematical logic and foundations (03-XX)
6 Relativity and gravitational theory (83-XX)
5 Combinatorics (05-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Number theory (11-XX)
5 Convex and discrete geometry (52-XX)
5 Algebraic topology (55-XX)
4 Topological groups, Lie groups (22-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Sequences, series, summability (40-XX)
4 Astronomy and astrophysics (85-XX)
3 Abstract harmonic analysis (43-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 Category theory; homological algebra (18-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Mathematics education (97-XX)

Citations by Year

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