Edit Profile (opens in new tab) Tikhonov, Andreĭ Nikolaevich Compute Distance To: Compute Author ID: tikhonov.andrej-nikolaevich Published as: Tikhonov, A. N.; Tychonoff, A.; Tikhonov, Andreĭ Nikolaevich; Tichonov, A.; Tikhonov, A.; Tikhonov, Andrej N.; Tychonoff, A. N.; Tichonow, A. N.; Tichonow, Andrej Nikolajewitsch; Tikhonov, Andrej Nikolaevich; Tichonov, Andrej N.; Tikhonov, Andrey N.; Tikhonov, A. N.; Tychonov, A. N. more...less Further Spellings: Тихонов Андрей Николаевич External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 190 Publications since 1925, including 35 Books 20 Contributions as Editor · 3 Further Contributions Biographic References: 32 Publications Co-Authors: 118 Co-Authors with 139 Joint Publications 2,495 Co-Co-Authors all top 5 Co-Authors 67 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. 7 Gorbunov, A. D. 7 Vasil’eva, Adelaida Borisovna 6 Arsen’ev, Alekseĭ Alekseevich 5 Budak, Boris Mikhailovich 5 Krasovskiĭ, Nikolaĭ Nikolaevich 5 Leonov, Aleksandr Sergeevich 5 Sobolev, Sergeĭ L’vovich 4 Bitsadze, Andreĭ Vasil’evich 4 Zyabrev, N. B. 3 Bol’shev, Login Nikolaevich 3 Egorushkin, A. A. 3 Lavrent’ev, Mikhail Mikhaĭlovich 3 Sushkevich, Tamara A. 3 Vasil’ev, Fedor Pavlovich 2 Agayan, G. M. 2 Aleksandrov, Pavel Sergeevich 2 Emel’yanov, Stanislav Vasil’evich 2 Fomin, Sergeĭ Vasil’evich 2 Gaĭsaryan, S. S. 2 Gajsaryan, S. S. 2 Galkin, V. Ya. 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 Stepanov, Vyacheslav Vasil’evich 2 Tikhomirov, V. V. 2 Timonov, A. A. 2 Vasin, Igor A. 2 Vatutin, Vladimir Alekseevich 2 Volosov, V. M. 2 Zverkin, A. M. 1 Akhmanov, S. A. 1 Alekseev, I. S. 1 Alikaev, V. V. 1 Allakhverdiev, Jalal Eyvaz 1 Andreev, Alekseĭ Fedorovich 1 Arnol’d, Vladimir Igorevich 1 Arsenin, Vasiliy Y. 1 Barabashev, Alexei G. 1 Baumgärtel, Hellmut 1 Berezin, Ivan Semenovich 1 Biermann, Kurt-Reinhard 1 Bitsadze, A. V. 1 Bizadse, A. W. 1 Borodkin, L. I. 1 Boulanger, J. D. 1 Butuzov, Valentin Fëdorovich 1 Ciesielski, Zbigniew 1 Danilov-Danilyan, V. I. 1 de Jager, Eduard M. 1 Denisov, Alexander Mikhailovich 1 Deschamps, Georges A. 1 Dmitriev, Vladimir Ivanovich 1 Dolgov, O. A. 1 Doronitsyn, A. A. 1 Dumova, A. A. 1 Efremov, A. A. 1 Galkin, V. J. 1 Gnedenko, Boris Vladimirovich 1 Goncharskij, A. V. 1 Iliin, V. A. 1 Il’in, M. E. 1 Ivanov, Evgeniĭ Alekseevich 1 Izobov, Nikolaĭ Alekseevich 1 John, Fritz 1 Karmanov, Vladimir G. 1 Kiguradze, Ivan Tarielovich 1 Krat, W. A. 1 Kriksin, Yu. A. 1 Krylov, Andreĭ Serdzhevich 1 Kudryavtsev, Lev Dmitrievich 1 Kuhnert, Frieder 1 Kupradze, Viktor Dmitrievich 1 Kuptsov, V. I. 1 Kurdyumov, Sergeĭ Pavlovich 1 Kuznetsov, N. N. 1 Lions, J. P. 1 Logunov, S. L. ...and 54 more Co-Authors all top 5 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 Mathematics and its Applications (Dordrecht) 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Beiträge zur Numerischen Mathematik 1 Hochschulbücher für Mathematik all top 5 Fields 67 Numerical analysis (65-XX) 32 History and biography (01-XX) 31 Partial differential equations (35-XX) 25 General and overarching topics; collections (00-XX) 17 Operator theory (47-XX) 10 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 7 Functions of a complex variable (30-XX) 6 Ordinary differential equations (34-XX) 6 Fluid mechanics (76-XX) 5 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 General topology (54-XX) 3 Potential theory (31-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 3,285 times in 3,022 Documents Cited by ▼ Year ▼ Solutions of ill-posed problems. Translation editor Fritz John. Zbl 0354.65028Tikhonov, Andrey N.; Arsenin, Vasiliy Y. 876 1977 The equations of mathematical physics. (Уравнения математического физики) (Gleichungen der mathematischen Physik.) Zbl 0044.09302Tikhonov, A. N.; Samarskiĭ, A. A. 427 1951 Solution of incorrectly formulated problems and the regularization method. Zbl 0141.11001Tikhonov, A. N. 294 1963 Methods for the solution of ill-posed problems. (Metody resheniya nekorrektnykh zadach). 2nd ed., rev. and suppl. Zbl 0499.65030Tikhonov, A. N.; Arsenin, V. Ya. 210 1979 Numerical methods for the solution of ill-posed problems. Rev., updated and transl. from the Russ. by R. A. M. Hoksbergen. Zbl 0831.65059Tikhonov, A. N.; Goncharsky, A. V.; Stepanov, V. V.; Yagola, A. G. 147 1995 Equations of mathematical physics. Translated by A. R. M. Robson and P. Basu. Translation edited by D. M. Brink. Zbl 0111.29008Tikhonov, A. N.; Samarskii, A. A. 139 1963 Regularization of incorrectly posed problems. Zbl 0183.11601Tikhonov, A. N. 132 1963 Ein Fixpunktsatz. Zbl 0012.30803Tychonoff, A. 101 1935 On the stability of the functional optimization problem. Zbl 0212.23803Tikhonov, A. N. 89 1968 Über die topologische Erweiterung von Räumen. JFM 55.0963.01Tychonoff, A. 63 1929 Nonlinear ill-posed problems. Zbl 0843.65041Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 58 1996 Nonlinear ill-posed problems. Transl. from the Russian. Vol. 1 and 2. Zbl 0920.65038Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 58 1998 Systeme von Differentialgleichungen, die kleine Parameter bei den Ableitungen enthalten. Zbl 0048.07101Tikhonov, A. N. 50 1952 Théorèmes d’unicité pour l’équation de la chaleur. JFM 61.1203.05Tychonoff, A. 48 1935 On the stability of inverse problems. Zbl 0061.23308Tikhonov, A. N. 46 1943 Über die Abhängigkeit der Lösungen von Differentialgleichungen von einem kleinen Parameter. Zbl 0037.34401Tikhonov, A. N. 36 1948 Use of the regularization method in non-linear problems. Zbl 0189.49501Tikhonov, A. N.; Glasko, V. B. 29 1967 Differential equations. Transl. from the Russian by A. B. Sossinskij. Zbl 0553.34001Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G. 28 1985 Homogeneous difference schemes. Zbl 0131.34102Tikhonov, A. N.; Samarskiĭ, A. A. 26 1961 Partial differential equations of mathematical physics. Vol. I. Zbl 0119.07703Tychonov, A. N.; Samarski, A. A. 25 1964 Ein Fixpunktsatz. JFM 61.1195.01Tychonoff, A. 23 1935 Théoremes d’unicité pour l’équation de la chaleur. Zbl 0012.35501Tychonoff, A. 22 1935 Numerical methods for the solution of ill-posed problems. (Chislennye metody resheniya nekorrektnykh zadach.) Zbl 0712.65042Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G. 17 1990 A collection of problems of mathematical physics. Zbl 0118.39701Budak, B. M.; Samarskij, A. A.; Tikhonov, A. N. 17 1964 Theory of functions of a complex variable. (Теория функций комплексной переменной.) Zbl 0153.39601Sveshnikov, A. G.; Tikhonov, A. N. 16 1967 Homogeneous difference schemes of a high degree of accuracy on non-nuniform nets. Zbl 0125.07303Tikhonov, A. N.; Samarskii, A. A. 16 1961 Differential equations. (Differentsial’nye uravneniya). Zbl 0481.34006Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G. 15 1980 Über einen Metrisationssatz von P. Urysohn. JFM 51.0453.02Tychonoff, A. 15 1925 Equations of mathematical physics. (Differentialgleichungen der mathematischen Physik.) Zbl 0085.08102Tychonoff, A. N.; Samarski, A. A. 14 1959 Homogeneous difference schemes on non-uniform nets. Zbl 0128.36702Tikhonov, A. N.; Samarskiĭ, A. A. 13 1962 Methoden zur Lösung inkorrekter Probleme. (Metody resheniya nekorrektnykh zadach.). Zbl 0309.65002Tikhonov, A. N.; Arsenin, V. Ya. 11 1974 Gleichungen der mathematischen Physik. (Uravneniya matematicheskoj fiziki.) Lehrbuch. 4. verbess. Aufl. Zbl 0265.35003Tikhonov, A. N.; Samarskij, A. A. 10 1972 Methods for the regularization of optimal control systems. Zbl 0144.12704Tikhonov, A. N. 10 1965 The asymptotic behaviour of integrals containing Bessel functions. Zbl 0088.27602Tikhonov, A. N. 9 1959 Beweis des Satzes, daß ein metrisierbarer Raum dann und nur dann kompakt ist, wenn er in jeder Metrik vollständig ist. JFM 54.0625.02Niemytzki, V.; Tychonoff, A. 9 1928 Nonlinear incorrect problems. (Nelinejnye nekorrektnye zadachi.) Zbl 0856.65066Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 8 1995 Convergence of difference schemes in the class of discontinuous coefficients. Zbl 0090.34201Tikhonov, A. N.; Samarskiĭ, A. A. 8 1959 The approximate solution of Fredholm integral equations of the first kind. Zbl 0149.11405Tikhonov, A. N.; Glasko, V. B. 8 1966 On the question of quasi-optimal choice of a regularized approximation. Zbl 0439.41028Tikhonov, A. N.; Glasko, V. B.; Kriksin, Yu. A. 7 1979 Regularizing algorithms and a priori information. (Regulyariziruyushchie algoritmy i apriornaya informatsiya). Zbl 0529.65027Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G. 7 1983 Stable methods for the summation of Fourier series. Zbl 0161.25801Tikhonov, A. N. 7 1964 Methods of determining the surfaces temperature of a body. Zbl 0175.16301Tikhonov, A. N.; Glasko, V. B. 7 1967 Incorrect problems of linear algebra and a stable method for their solution. Zbl 0196.48001Tikhonov, A. N. 7 1965 On systems of differential equations containing parameters. (Über Systeme von Differentialgleichungen, die Parameter enthalten.) Zbl 0041.42316Tikhonov, A. N. 7 1950 Nonlinear equations of the first kind. Zbl 0141.13301Tikhonov, A. N. 7 1965 Approximate systems of linear algebraic equations. Zbl 0492.65014Tikhonov, A. N. 6 1980 The theory of functions of a complex variable. Zbl 0212.42101Sveshnikov, A. G.; Tikhonov, A. N. 6 1971 Über die Eindeutigkeit der Lösung des Problems der Elektro-Schürfung. Zbl 0040.12201Tikhonov, A. N. 6 1949 On homogeneous difference schemes of high order of accuracy on non-uniform nets. Zbl 0128.36801Tikhonov, A. N.; Samarskii, A. A. 6 1963 Mathematical problems in computer tomography. (Matematicheskie zadachi komp’yuternoj tomografii). Zbl 0641.92001Tikhonov, A. N.; Arsenin, V. Ya.; Timonov, A. A. 5 1987 The stability of algorithms for the solution of degenerate systems of linear algebraic equations. Zbl 0161.35404Tikhonov, A. N. 5 1967 Über einen Funktionenraum. Zbl 0012.30802Tychonoff, A. 5 1935 On a reciprocity principle. Zbl 0489.49007Tikhonov, A. N. 4 1980 Sur l’équation de la chaleur à plusieurs variables. Zbl 0024.11201Tychonoff, A. 4 1938 The problem of linear programming with approximate data. Zbl 0585.90059Agayan, G. M.; Ryutin, A. A.; Tikhonov, A. N. 4 1984 The Sturm-Liouville difference problem. Zbl 0129.09801Tikhonov, A. N.; Samarskiĭ, A. A. 4 1961 Equazioni della fisica matematica. Traduzione di Alexandr Machov. Zbl 0489.35001Tikhonov, Andrej N.; Samarskij, Aleksandr A. 3 1981 Problemi della fisica matematica. Traduzione del russo di Alexandr Machov. Zbl 0513.35001Tichonov, Andrej N.; Samarskij, Aleksandr A.; Budak, Boris M. 3 1982 The theory of functions of a complex variable. Transl. from the Russian by George Yankovsky. 2nd ed., 2nd printing. Zbl 0531.30002Sveshnikov, A. G.; Tikhonov, A. N. 3 1982 Discontinuous solutions of quasilinear equations of the first order. Zbl 0154.10802Tikhonov, A. N.; Samarskiĭ, A. A. 3 1964 Théorie mathématique du couple thermoélectrique. Zbl 0013.28805Tychonoff, A. 3 1935 Sur les équations fonctionnelles de Volterra et leurs applications à certains problèmes de la physique mathématique. Zbl 0021.23404Tychonoff, A. 3 1938 Regularization methods for ill-posed problems. Zbl 0502.65035Tikhonov, A. N.; Morozov, V. A. 3 1981 Improper problems of optimal planning and stable methods for their solution. Zbl 0141.17301Tikhonov, A. N. 3 1965 A collection of problems in mathematical physics. (Sbornik zadach po matematicheskoj fizike). 3rd ed. Zbl 0544.35002Budak, B. M.; Samarskij, A. A.; Tikhonov, A. N. 2 1980 Improperly posed problems. Zbl 0346.35089Tikhonov, A. N.; Ivanov, V. K.; Lavrent’ev, M. M. 2 1970 Incorrectly posed problems of optimal programming. Zbl 0158.18702Tikhonov, A. N. 2 1968 Solution of nonlinear integral equations of the frist kind. Zbl 0183.11506Tikhonov, A. N. 2 1964 Mathematics applied to physics. Zbl 0193.57201 2 1970 Über unendliche Systeme von Differentialgleichungen. Zbl 0011.34902Tychonoff, A. 2 1934 Pavel Sergeevich Aleksandrov (zum siebzigsten Geburtstag und zum fünfzigsten Jahr seiner wissenschaftlichen Tätigkeit). Zbl 0147.24404Kolmogorov, A. N.; Lyusternik, L. A.; Smirnov, Yu. M.; Tikhonov, A. N.; Fomin, S. V. 2 1966 Über ein inverses Wärmeleitungsproblem. Zbl 0408.35046Glasko, V. B.; Kulik, N. I.; Tikhonov, A. N.; Shklyarov, I. N. 1 1979 Methods of mathematical modeling and computer diagnosis. Work collection. (Metody matematicheskogo modelirovaniya i vychislitel’noĭ diagnostiki. Sbornik trudov.) Zbl 0712.00006 1 1990 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. (Андрей Николаевич Тихонов. Собрание научных трудов в десяти томах. Том II. Математика. Часть 2: Вычислительная математика 1956–1979. Математическая Физика 1933–1948.) Zbl 1200.01055Tikhonov, Andreĭ Nikolaevich 1 2009 On a stable method of solving a linear programming problem with approximate data. Zbl 0549.65036Tikhonov, A. N.; Ryutin, A. A.; Agayan, G. M. 1 1983 The theory of functions of a complex variable. Translated from the Russian by George Yankovsky. Zbl 0299.30001Sveshnikov, A. G.; Tikhonov, A. N. 1 1973 Petr Ivanovich Kuznetsov (Zum 40. Jahr der wissenschaftlichen Tätigkeit). Zbl 0318.01020Bol’shev, L. N.; Il’in, V. A.; Krasovskij, N. N.; Prokhorov, Yu. V.; Sotskov, B. S.; Tikhonov, A. N. 1 1976 On difference schemes for equations with discontinuity coefficients. Zbl 0070.12605Tikhonov, A. N.; Samarskiĭ, A. A. 1 1956 Sur les équations fonctionelles de Volterra et leurs applications à certains problèmes de la physique mathématique. JFM 64.1115.02Tychonoff, A. 1 1938 Sur les espaces des fonctions presque périodiques. Zbl 0006.42704Stepanoff, W.; Tychonoff, A. 1 1933 Über die Räume der fastperiodischen Funktionen. Zbl 0009.34901Stepanoff, W.; Tychonoff, A. 1 1934 Über einen topologischen Universalraum. Zbl 0015.08201Tikhonov, A. 1 1936 On homogeneous difference schemes. Zbl 0090.34102Tikhonov, A. N.; Samarskiĭ, A. A. 1 1958 Über die Entwicklung von Integralen mit einem Kern vom Typus der \(\delta\)-Funktion nach einem Parameter. Zbl 0095.05202Tikhonov, A. N.; Samarskij, A. A. 1 1959 The theory of functions of a complex variable. 6th ed. (Teoriya funktsii kompleksnoi peremennoi.) Zbl 1055.30500Sveshnikov, A. G.; Tikhonov, A. N. 1 2001 Systeme von Differentialgleichungen, die einen kleinen Parameter bei den Ableitungen enthalten. Zbl 0046.09501Tikhonov, A. N. 1 1952 On problems with imprecisely given initial information. Zbl 0604.65018Tikhonov, A. N. 1 1985 Methods of small parameter and their application. Zbl 0608.34001Tikhonov, A. N. 1 1985 Differential equations. Textbook. (Differentsial’nye uravneniya. Uchebnik). 2nd ed., rev. and compl. Zbl 0593.34001Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G. 1 1985 Théorèmes d’unicité pour l’équation de la chaleur. JFM 61.0456.04Tichonov, A. 1 1935 Über einen Funktionenraum. JFM 61.1194.04Tychonoff, A. 1 1935 Über unendliche Systeme von Differentialgleichungen. JFM 60.1085.04Tychonoff, A. 1 1934 Über Randbedingungen, die Ableitungen von einer Ordnung enthalten, die höher ist als die Ordnung der Gleichung. Zbl 0041.06601Tikhonov, A. 1 1950 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. (Андрей Николаевич Тихонов. Собрание научных трудов в десяти томах. Том II. Математика. Часть 2: Вычислительная математика 1956–1979. Математическая Физика 1933–1948.) Zbl 1200.01055Tikhonov, Andreĭ Nikolaevich 1 2009 The theory of functions of a complex variable. 6th ed. (Teoriya funktsii kompleksnoi peremennoi.) Zbl 1055.30500Sveshnikov, A. G.; Tikhonov, A. N. 1 2001 Nonlinear ill-posed problems. Transl. from the Russian. Vol. 1 and 2. Zbl 0920.65038Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 58 1998 Nonlinear ill-posed problems. Zbl 0843.65041Tikhonov, 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 0831.65059Tikhonov, A. N.; Goncharsky, A. V.; Stepanov, V. V.; Yagola, A. G. 147 1995 Nonlinear incorrect problems. (Nelinejnye nekorrektnye zadachi.) Zbl 0856.65066Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 8 1995 Numerical methods for the solution of ill-posed problems. (Chislennye metody resheniya nekorrektnykh zadach.) Zbl 0712.65042Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G. 17 1990 Methods of mathematical modeling and computer diagnosis. Work collection. (Metody matematicheskogo modelirovaniya i vychislitel’noĭ diagnostiki. Sbornik trudov.) Zbl 0712.00006 1 1990 Mathematical problems in computer tomography. (Matematicheskie zadachi komp’yuternoj tomografii). Zbl 0641.92001Tikhonov, A. N.; Arsenin, V. Ya.; Timonov, A. A. 5 1987 Differential equations. Transl. from the Russian by A. B. Sossinskij. Zbl 0553.34001Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G. 28 1985 On problems with imprecisely given initial information. Zbl 0604.65018Tikhonov, A. N. 1 1985 Methods of small parameter and their application. Zbl 0608.34001Tikhonov, A. N. 1 1985 Differential equations. Textbook. (Differentsial’nye uravneniya. Uchebnik). 2nd ed., rev. and compl. Zbl 0593.34001Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G. 1 1985 The problem of linear programming with approximate data. Zbl 0585.90059Agayan, G. M.; Ryutin, A. A.; Tikhonov, A. N. 4 1984 Regularizing algorithms and a priori information. (Regulyariziruyushchie algoritmy i apriornaya informatsiya). Zbl 0529.65027Tikhonov, 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 0549.65036Tikhonov, A. N.; Ryutin, A. A.; Agayan, G. M. 1 1983 Problemi della fisica matematica. Traduzione del russo di Alexandr Machov. Zbl 0513.35001Tichonov, Andrej N.; Samarskij, Aleksandr A.; Budak, Boris M. 3 1982 The theory of functions of a complex variable. Transl. from the Russian by George Yankovsky. 2nd ed., 2nd printing. Zbl 0531.30002Sveshnikov, A. G.; Tikhonov, A. N. 3 1982 Equazioni della fisica matematica. Traduzione di Alexandr Machov. Zbl 0489.35001Tikhonov, Andrej N.; Samarskij, Aleksandr A. 3 1981 Regularization methods for ill-posed problems. Zbl 0502.65035Tikhonov, A. N.; Morozov, V. A. 3 1981 Differential equations. (Differentsial’nye uravneniya). Zbl 0481.34006Tikhonov, A. N.; Vasil’eva, A. B.; Sveshnikov, A. G. 15 1980 Approximate systems of linear algebraic equations. Zbl 0492.65014Tikhonov, A. N. 6 1980 On a reciprocity principle. Zbl 0489.49007Tikhonov, A. N. 4 1980 A collection of problems in mathematical physics. (Sbornik zadach po matematicheskoj fizike). 3rd ed. Zbl 0544.35002Budak, 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 0499.65030Tikhonov, A. N.; Arsenin, V. Ya. 210 1979 On the question of quasi-optimal choice of a regularized approximation. Zbl 0439.41028Tikhonov, A. N.; Glasko, V. B.; Kriksin, Yu. A. 7 1979 Über ein inverses Wärmeleitungsproblem. Zbl 0408.35046Glasko, V. B.; Kulik, N. I.; Tikhonov, A. N.; Shklyarov, I. N. 1 1979 Solutions of ill-posed problems. Translation editor Fritz John. Zbl 0354.65028Tikhonov, Andrey N.; Arsenin, Vasiliy Y. 876 1977 Petr Ivanovich Kuznetsov (Zum 40. Jahr der wissenschaftlichen Tätigkeit). Zbl 0318.01020Bol’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 0309.65002Tikhonov, A. N.; Arsenin, V. Ya. 11 1974 The theory of functions of a complex variable. Translated from the Russian by George Yankovsky. Zbl 0299.30001Sveshnikov, A. G.; Tikhonov, A. N. 1 1973 Gleichungen der mathematischen Physik. (Uravneniya matematicheskoj fiziki.) Lehrbuch. 4. verbess. Aufl. Zbl 0265.35003Tikhonov, A. N.; Samarskij, A. A. 10 1972 The theory of functions of a complex variable. Zbl 0212.42101Sveshnikov, A. G.; Tikhonov, A. N. 6 1971 Improperly posed problems. Zbl 0346.35089Tikhonov, A. N.; Ivanov, V. K.; Lavrent’ev, M. M. 2 1970 Mathematics applied to physics. Zbl 0193.57201 2 1970 On the stability of the functional optimization problem. Zbl 0212.23803Tikhonov, A. N. 89 1968 Incorrectly posed problems of optimal programming. Zbl 0158.18702Tikhonov, A. N. 2 1968 Use of the regularization method in non-linear problems. Zbl 0189.49501Tikhonov, A. N.; Glasko, V. B. 29 1967 Theory of functions of a complex variable. (Теория функций комплексной переменной.) Zbl 0153.39601Sveshnikov, A. G.; Tikhonov, A. N. 16 1967 Methods of determining the surfaces temperature of a body. Zbl 0175.16301Tikhonov, A. N.; Glasko, V. B. 7 1967 The stability of algorithms for the solution of degenerate systems of linear algebraic equations. Zbl 0161.35404Tikhonov, A. N. 5 1967 The approximate solution of Fredholm integral equations of the first kind. Zbl 0149.11405Tikhonov, A. N.; Glasko, V. B. 8 1966 Pavel Sergeevich Aleksandrov (zum siebzigsten Geburtstag und zum fünfzigsten Jahr seiner wissenschaftlichen Tätigkeit). Zbl 0147.24404Kolmogorov, A. N.; Lyusternik, L. A.; Smirnov, Yu. M.; Tikhonov, A. N.; Fomin, S. V. 2 1966 Methods for the regularization of optimal control systems. Zbl 0144.12704Tikhonov, A. N. 10 1965 Incorrect problems of linear algebra and a stable method for their solution. Zbl 0196.48001Tikhonov, A. N. 7 1965 Nonlinear equations of the first kind. Zbl 0141.13301Tikhonov, A. N. 7 1965 Improper problems of optimal planning and stable methods for their solution. Zbl 0141.17301Tikhonov, A. N. 3 1965 Partial differential equations of mathematical physics. Vol. I. Zbl 0119.07703Tychonov, A. N.; Samarski, A. A. 25 1964 A collection of problems of mathematical physics. Zbl 0118.39701Budak, B. M.; Samarskij, A. A.; Tikhonov, A. N. 17 1964 Stable methods for the summation of Fourier series. Zbl 0161.25801Tikhonov, A. N. 7 1964 Discontinuous solutions of quasilinear equations of the first order. Zbl 0154.10802Tikhonov, A. N.; Samarskiĭ, A. A. 3 1964 Solution of nonlinear integral equations of the frist kind. Zbl 0183.11506Tikhonov, A. N. 2 1964 Solution of incorrectly formulated problems and the regularization method. Zbl 0141.11001Tikhonov, A. N. 294 1963 Equations of mathematical physics. Translated by A. R. M. Robson and P. Basu. Translation edited by D. M. Brink. Zbl 0111.29008Tikhonov, A. N.; Samarskii, A. A. 139 1963 Regularization of incorrectly posed problems. Zbl 0183.11601Tikhonov, A. N. 132 1963 On homogeneous difference schemes of high order of accuracy on non-uniform nets. Zbl 0128.36801Tikhonov, A. N.; Samarskii, A. A. 6 1963 Homogeneous difference schemes on non-uniform nets. Zbl 0128.36702Tikhonov, A. N.; Samarskiĭ, A. A. 13 1962 Homogeneous difference schemes. Zbl 0131.34102Tikhonov, A. N.; Samarskiĭ, A. A. 26 1961 Homogeneous difference schemes of a high degree of accuracy on non-nuniform nets. Zbl 0125.07303Tikhonov, A. N.; Samarskii, A. A. 16 1961 The Sturm-Liouville difference problem. Zbl 0129.09801Tikhonov, A. N.; Samarskiĭ, A. A. 4 1961 Equations of mathematical physics. (Differentialgleichungen der mathematischen Physik.) Zbl 0085.08102Tychonoff, A. N.; Samarski, A. A. 14 1959 The asymptotic behaviour of integrals containing Bessel functions. Zbl 0088.27602Tikhonov, A. N. 9 1959 Convergence of difference schemes in the class of discontinuous coefficients. Zbl 0090.34201Tikhonov, A. N.; Samarskiĭ, A. A. 8 1959 Über die Entwicklung von Integralen mit einem Kern vom Typus der \(\delta\)-Funktion nach einem Parameter. Zbl 0095.05202Tikhonov, A. N.; Samarskij, A. A. 1 1959 On homogeneous difference schemes. Zbl 0090.34102Tikhonov, A. N.; Samarskiĭ, A. A. 1 1958 On difference schemes for equations with discontinuity coefficients. Zbl 0070.12605Tikhonov, A. N.; Samarskiĭ, A. A. 1 1956 Systeme von Differentialgleichungen, die kleine Parameter bei den Ableitungen enthalten. Zbl 0048.07101Tikhonov, A. N. 50 1952 Systeme von Differentialgleichungen, die einen kleinen Parameter bei den Ableitungen enthalten. Zbl 0046.09501Tikhonov, A. N. 1 1952 The equations of mathematical physics. (Уравнения математического физики) (Gleichungen der mathematischen Physik.) Zbl 0044.09302Tikhonov, A. N.; Samarskiĭ, A. A. 427 1951 On systems of differential equations containing parameters. (Über Systeme von Differentialgleichungen, die Parameter enthalten.) Zbl 0041.42316Tikhonov, A. N. 7 1950 Über Randbedingungen, die Ableitungen von einer Ordnung enthalten, die höher ist als die Ordnung der Gleichung. Zbl 0041.06601Tikhonov, A. 1 1950 Über die Eindeutigkeit der Lösung des Problems der Elektro-Schürfung. Zbl 0040.12201Tikhonov, A. N. 6 1949 Über die Abhängigkeit der Lösungen von Differentialgleichungen von einem kleinen Parameter. Zbl 0037.34401Tikhonov, A. N. 36 1948 On the stability of inverse problems. Zbl 0061.23308Tikhonov, A. N. 46 1943 Sur l’équation de la chaleur à plusieurs variables. Zbl 0024.11201Tychonoff, A. 4 1938 Sur les équations fonctionnelles de Volterra et leurs applications à certains problèmes de la physique mathématique. Zbl 0021.23404Tychonoff, A. 3 1938 Sur les équations fonctionelles de Volterra et leurs applications à certains problèmes de la physique mathématique. JFM 64.1115.02Tychonoff, A. 1 1938 Über einen topologischen Universalraum. Zbl 0015.08201Tikhonov, A. 1 1936 Ein Fixpunktsatz. Zbl 0012.30803Tychonoff, A. 101 1935 Théorèmes d’unicité pour l’équation de la chaleur. JFM 61.1203.05Tychonoff, A. 48 1935 Ein Fixpunktsatz. JFM 61.1195.01Tychonoff, A. 23 1935 Théoremes d’unicité pour l’équation de la chaleur. Zbl 0012.35501Tychonoff, A. 22 1935 Über einen Funktionenraum. Zbl 0012.30802Tychonoff, A. 5 1935 Théorie mathématique du couple thermoélectrique. Zbl 0013.28805Tychonoff, A. 3 1935 Théorèmes d’unicité pour l’équation de la chaleur. JFM 61.0456.04Tichonov, A. 1 1935 Über einen Funktionenraum. JFM 61.1194.04Tychonoff, A. 1 1935 Über unendliche Systeme von Differentialgleichungen. Zbl 0011.34902Tychonoff, A. 2 1934 Über die Räume der fastperiodischen Funktionen. Zbl 0009.34901Stepanoff, W.; Tychonoff, A. 1 1934 Über unendliche Systeme von Differentialgleichungen. JFM 60.1085.04Tychonoff, A. 1 1934 Sur les espaces des fonctions presque périodiques. Zbl 0006.42704Stepanoff, W.; Tychonoff, A. 1 1933 Über die topologische Erweiterung von Räumen. JFM 55.0963.01Tychonoff, A. 63 1929 Beweis des Satzes, daß ein metrisierbarer Raum dann und nur dann kompakt ist, wenn er in jeder Metrik vollständig ist. JFM 54.0625.02Niemytzki, V.; Tychonoff, A. 9 1928 Über einen Metrisationssatz von P. Urysohn. JFM 51.0453.02Tychonoff, A. 15 1925 all cited Publications top 5 cited Publications all top 5 Cited by 4,290 Authors 26 Klibanov, Michael V. 23 Leonov, Aleksandr Sergeevich 23 Maksimov, Vyacheslav Ivanovich 17 Hofmann, Bernd 15 Aldashev, Serik Aĭmurzaevich 14 Wang, Yanfei 13 Yang, Liu 12 Akulenko, Leonid Denisovich 12 Deng, Zuicha 12 Yagola, Anatoliĭ Grigor’evich 11 Dmitriev, Vladimir Ivanovich 11 Mukhtarov, Oktay Sh. 11 Vatulyan, Aleksandr Ovanesovich 11 Xiong, Xiangtuan 11 Zhang, Ye 10 Bakushinskĭ, Anatoliĭ Borisovich B. 10 Beilina, Larisa 10 Lesnic, Daniel 10 Marin, Liviu 10 Pillonetto, Gianluigi 10 Sabitov, Kamil’ Basirovich 9 Aydemir, Kadriye 9 Kokurin, Mikhail Yur’evich 9 Luk’yanenko, Dmitriĭ Vital’evich 9 Nguyen, Loc Hoang 9 Peng, Jianwen 9 Pereverzev, Sergei V. 9 Sergiyenko, Ivan Vasyl’ovych 9 Vasil’ev, Fedor Pavlovich 9 Yu, Jianning 8 Anh, Lam Quoc 8 Artem’eva, Lyudmila Anatol’evna 8 Clempner, Julio B. 8 Denisov, Alexander Mikhailovich 8 Hon, Yiu-Chung 8 Jbilou, Khalide 8 Landi, Germana 8 Loli Piccolomini, Elena 8 Sumin, Mikhail Iosifovich 8 Viloche Bazán, Fermín S. 7 Alekseev, Gennady V. 7 Golubev, Yuriĭ K. 7 Kaltenbacher, Barbara 7 Korotkiĭ, Aleksandr Illarionovich 7 Lalitha, C. S. 7 Li, Zi-Cai 7 Lv, Xiaoguang 7 Pourgholi, Reza 7 Sanguineti, Marcello 6 Ascher, Uri M. 6 Bulavatskyĭ, Volodymyr M. 6 Chen, Yung-Ming 6 Cheng, Jin 6 Cheng, Xiaoliang 6 Gnecco, Giorgio 6 Hasanoǧlu, Alemdar 6 Huang, Hung-Tsai 6 Klee, Victor LaRue 6 Mahmudov, Elimhan Nadir 6 Masouri, Zahra 6 Nguyen Huy Tuan 6 Potapov, Mikhaĭl Mikhaĭlovich 6 Poznyak, Aleksandr Semënovich 6 Scherzer, Otmar 6 Skarin, Vladimir D. 6 Smirnova, Alexandra B. 6 Tikhonov, Andreĭ Nikolaevich 6 Walcher, Sebastian 6 Wangkeeree, Rabian 6 Wei, Ting 6 Wei, Yimin 6 Yao, Jen-Chih 6 Zhang, Liping 5 Ahmad, Shahbaz 5 Aliyev, Ziyatkhan S. 5 Antipin, Anatoliĭ Sergeevich 5 Bedrikovetsky, Pavel G. 5 Bredies, Kristian 5 de Campos Velho, Haroldo Fraga 5 Deineka, V. S. 5 Devaud, Cécile B. 5 Dryazhenkov, Andrey A. 5 Gong, Rongfang 5 He, Guoqiang 5 Herrlich, Horst 5 Huang, Nan-Jing 5 Huang, Xuexiang 5 Ingham, Derek Binns 5 Jin, Qinian 5 Jódar Sanchez, Lucas Antonio 5 Kreinovich, Vladik Yakovlevich 5 Leitão, Antonio 5 Liu, Jun 5 Lou, Yifei 5 Luo, Guanwei 5 Prilepko, Alekseĭ Ivanovich 5 Ramm, Alexander G. 5 Romanov, Vladimir Gavrilovich 5 Rozenberg, Valerii L’vovich 5 Shishlenin, Maxim Aleksandrovich ...and 4,190 more Authors all top 5 Cited in 503 Serials 77 Computational Mathematics and Mathematical Physics 76 Applied Mathematics and Computation 76 Journal of Computational and Applied Mathematics 65 Journal of Applied Mathematics and Mechanics 61 Journal of Mathematical Analysis and Applications 54 Journal of Inverse and Ill-Posed Problems 51 Journal of Mathematical Sciences (New York) 49 Differential Equations 48 Computers & Mathematics with Applications 47 Journal of Computational Physics 46 Ukrainian Mathematical Journal 41 Mathematical Notes 40 Computational Mathematics and Modeling 36 Fluid Dynamics 35 Applied Numerical Mathematics 34 Siberian Mathematical Journal 34 Applied Mathematical Modelling 33 Inverse Problems 31 Computer Methods in Applied Mechanics and Engineering 30 Inverse Problems in Science and Engineering 30 Proceedings of the Steklov Institute of Mathematics 29 Automatica 28 Journal of Optimization Theory and Applications 28 Numerical Functional Analysis and Optimization 28 Automation and Remote Control 28 Cybernetics and Systems Analysis 28 Engineering Analysis with Boundary Elements 27 Mathematische Annalen 27 Doklady Mathematics 27 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. 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Theory and Methods 9 International Journal of Computer Mathematics 9 Computational Optimization and Applications 9 Filomat 9 Journal of Inequalities and Applications 9 Communications in Nonlinear Science and Numerical Simulation 8 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 8 BIT 8 Acta Applicandae Mathematicae 8 Journal of Applied Mechanics and Technical Physics 8 Computational Geosciences 8 Combustion Theory and Modelling 8 Lobachevskii Journal of Mathematics 8 GEM - International Journal on Geomathematics 7 Calcolo 7 Information Sciences 7 Moscow University Computational Mathematics and Cybernetics 7 Machine Learning 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 Positivity ...and 403 more Serials all top 5 Cited in 58 Fields 1,067 Numerical analysis (65-XX) 816 Partial differential equations (35-XX) 313 Operator theory (47-XX) 286 Calculus of variations and optimal control; optimization (49-XX) 271 Mechanics of deformable solids (74-XX) 226 Fluid mechanics (76-XX) 224 Operations research, mathematical programming (90-XX) 216 Ordinary differential equations (34-XX) 192 Integral equations (45-XX) 188 Computer science (68-XX) 177 Statistics (62-XX) 157 Systems theory; control (93-XX) 147 Biology and other natural sciences (92-XX) 147 Information and communication theory, circuits (94-XX) 109 Classical thermodynamics, heat transfer (80-XX) 100 Optics, electromagnetic theory (78-XX) 80 General topology (54-XX) 76 Geophysics (86-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Probability theory and stochastic processes (60-XX) 51 Functional analysis (46-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 39 Dynamical systems and ergodic theory (37-XX) 38 Approximations and expansions (41-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 34 Statistical mechanics, structure of matter (82-XX) 27 Real functions (26-XX) 27 Potential theory (31-XX) 26 Integral transforms, operational calculus (44-XX) 25 Functions of a complex variable (30-XX) 22 Mechanics of particles and systems (70-XX) 21 Quantum theory (81-XX) 19 Difference and functional equations (39-XX) 16 Special functions (33-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Differential geometry (53-XX) 8 History and biography (01-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 7 General and overarching topics; collections (00-XX) 7 Mathematical logic and foundations (03-XX) 7 Combinatorics (05-XX) 6 Number theory (11-XX) 6 Convex and discrete geometry (52-XX) 6 Algebraic topology (55-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Topological groups, Lie groups (22-XX) 4 Sequences, series, summability (40-XX) 4 Relativity and gravitational theory (83-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) 2 Measure and integration (28-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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