Edit Profile Gorbunov, Vladimir K. Compute Distance To: Compute Author ID: gorbunov.vladimir-k Published as: Gorbunov, V K.; Gorbunov, V.; Gorbunov, V. K.; Gorbunov, Vladimir K. Documents Indexed: 56 Publications since 1970, including 4 Books Reviewing Activity: 179 Reviews all top 5 Co-Authors 34 single-authored 5 Sviridov, Vyacheslav Yu. 4 Martynenko, Yu. V. 2 Lutoshkin, Igor’ Vikotorovich 2 Lutoshkin, Igor’ Viktorovich 2 Petrishchev, V. V. 1 Bulatov, Mikhail Valer’yanovich 1 Cernous’ko, F. L. 1 Chernous’ko, Feliks Leonidovich 1 Dzhuraev, M. D. 1 Gorobetz, A. 1 Il’in, Vladimir Aleksandrovich 1 Kokhanovskij, I. I. 1 Kuznetsov, E. B. 1 Ledovskikh, A. C. 1 Loginov, Boris Vladimirovich 1 Lvov, A. G. 1 Lytoshkin, I. V. 1 Malyshev, Yu. V. 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Moiseev, Evgeniĭ Ivanovich 1 Nguyen Dinh Cong 1 Nurahunova, G. U. 1 Petrischev, Vyacheslav V. 1 Rozov, Nikolaĭ Khristovich 1 Sukharev, Lev Aleksandrovich 1 Tishkin, Vladimir Fëdorovich 1 Trenogin, Vladilen Aleksandrovich all top 5 Serials 7 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 5 U.S.S.R. Computational Mathematics and Mathematical Physics 5 Trudy Srednevolzhskogo Matematicheskogo Obshchestva 3 Izvestiya Akademii Nauk Kirgizskoĭ SSR. Fiziko-Tekhnicheskie i Matematicheskie Nauki 2 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 2 Moscow University Computational Mathematics and Cybernetics 2 Applied Numerical Mathematics 2 Doklady Mathematics 2 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 1 Journal of Applied Mathematics and Mechanics 1 Avtomatika i Telemekhanika 1 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 1 Journal of Computational and Applied Mathematics 1 Optimization 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 Journal of Inverse and Ill-Posed Problems 1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 1 Vychislitel’nye Tekhnologii 1 Lobachevskii Journal of Mathematics 1 Vestnik Ul’yanovskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Estestvennye Nauki 1 Differential Equations 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Matematicheskaya 1 Vestnik Moskovskogo Universiteta. Seriya VI. Èkonomika 1 Zhurnal Èkonomicheskoĭ Teorii all top 5 Fields 28 Numerical analysis (65-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Ordinary differential equations (34-XX) 8 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 6 Integral equations (45-XX) 2 Partial differential equations (35-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 21 Publications have been cited 56 times in 28 Documents Cited by ▼ Year ▼ Improvement of the normal spline collocation method for linear differential equations. Zbl 1077.65085Gorbunov, V. K.; Petrishchev, V. V. 8 2003 The parameterization method in optimal control problems and differential-algebraic equations. Zbl 1077.65071Gorbunov, Vladimir K.; Lutoshkin, Igor V. 6 2006 The method of normal spline collocation. Zbl 0702.65106Gorbunov, V. K. 6 1989 Development of the normal spline method for linear integro-differential equations. Zbl 1143.45002Gorbunov, Vladimir K.; Petrischev, Vyacheslav V.; Sviridov, Vyacheslav Y. 5 2003 The parametrization method for optimal control problems. Zbl 0404.49020Gorbunov, V. K. 4 1979 Optimum multipulse correction. Zbl 0215.60302Gorbunov, V. K.; Chernous’ko, F. L. 4 1970 The parameterization method in singular differential-algebraic equations. Zbl 1146.65322Gorbunov, Vladimir K.; Lutoshkin, Igor V. 3 2003 Minimax impulsive correction of perturbations of a linear damped oscillator. Zbl 0363.90121Gorbunov, V. K. 3 1976 The method of normal splines for linear DAEs on the number semi-axis. Zbl 1160.65045Gorbunov, Vladimir K.; Sviridov, Vyacheslav Yu. 2 2009 Regularization of degenerated equations and inequalities under explicit data parameterization. Zbl 1007.65041Gorbunov, V. K. 2 2001 Method of normal spline-collocation. Zbl 0675.65144Gorbunov, V. K. 2 1989 On the reduction of optimal control problems to finite-dimensional problems. Zbl 0421.49036Gorbunov, V. K. 2 1978 Analytical representation of concave and quasiconcave homogeneous functions. Zbl 1367.26029Gorbunov, V. K. 1 2017 Variational approaches to numerical solution of differential algebraic equations. Zbl 1217.65159Bulatov, M. V.; Gorbunov, V. K.; Martynenko, Yu. V.; Nguyen Dinh Cong 1 2010 A parametrization method for the numerical solution of singular differential equations. Zbl 1160.65033Gorbunov, Vladimir K.; Lutoshkin, Igor V.; Martynenko, Yuliya V. 1 2009 Variation of splines method for implicit differential equations. Zbl 1199.65265Gorbunov, V. K.; Martynenko, Ju. V. 1 2007 The method of normal splines for linear implicit differential equations of second order. Zbl 1113.65069Gorbunov, V.; Gorobetz, A.; Sviridov, V. 1 2005 Iterative regularization based on singular analysis. Zbl 0856.65014Gorbunov, V. K.; Kokhanovskij, I. I. 1 1995 Reduction of linear integral equations with a uniform error in the right- hand side. Zbl 0595.65144Gorbunov, V. K. 1 1985 Reduction of linear integral equations with uniform error on the right side. Zbl 0578.65132Gorbunov, V. K. 1 1985 A method for the parametrization of optimal control problems. Zbl 0437.49021Gorbunov, V. K. 1 1980 Analytical representation of concave and quasiconcave homogeneous functions. Zbl 1367.26029Gorbunov, V. K. 1 2017 Variational approaches to numerical solution of differential algebraic equations. Zbl 1217.65159Bulatov, M. V.; Gorbunov, V. K.; Martynenko, Yu. V.; Nguyen Dinh Cong 1 2010 The method of normal splines for linear DAEs on the number semi-axis. Zbl 1160.65045Gorbunov, Vladimir K.; Sviridov, Vyacheslav Yu. 2 2009 A parametrization method for the numerical solution of singular differential equations. Zbl 1160.65033Gorbunov, Vladimir K.; Lutoshkin, Igor V.; Martynenko, Yuliya V. 1 2009 Variation of splines method for implicit differential equations. Zbl 1199.65265Gorbunov, V. K.; Martynenko, Ju. V. 1 2007 The parameterization method in optimal control problems and differential-algebraic equations. Zbl 1077.65071Gorbunov, Vladimir K.; Lutoshkin, Igor V. 6 2006 The method of normal splines for linear implicit differential equations of second order. Zbl 1113.65069Gorbunov, V.; Gorobetz, A.; Sviridov, V. 1 2005 Improvement of the normal spline collocation method for linear differential equations. Zbl 1077.65085Gorbunov, V. K.; Petrishchev, V. V. 8 2003 Development of the normal spline method for linear integro-differential equations. Zbl 1143.45002Gorbunov, Vladimir K.; Petrischev, Vyacheslav V.; Sviridov, Vyacheslav Y. 5 2003 The parameterization method in singular differential-algebraic equations. Zbl 1146.65322Gorbunov, Vladimir K.; Lutoshkin, Igor V. 3 2003 Regularization of degenerated equations and inequalities under explicit data parameterization. Zbl 1007.65041Gorbunov, V. K. 2 2001 Iterative regularization based on singular analysis. Zbl 0856.65014Gorbunov, V. K.; Kokhanovskij, I. I. 1 1995 The method of normal spline collocation. Zbl 0702.65106Gorbunov, V. K. 6 1989 Method of normal spline-collocation. Zbl 0675.65144Gorbunov, V. K. 2 1989 Reduction of linear integral equations with a uniform error in the right- hand side. Zbl 0595.65144Gorbunov, V. K. 1 1985 Reduction of linear integral equations with uniform error on the right side. Zbl 0578.65132Gorbunov, V. K. 1 1985 A method for the parametrization of optimal control problems. Zbl 0437.49021Gorbunov, V. K. 1 1980 The parametrization method for optimal control problems. Zbl 0404.49020Gorbunov, V. K. 4 1979 On the reduction of optimal control problems to finite-dimensional problems. Zbl 0421.49036Gorbunov, V. K. 2 1978 Minimax impulsive correction of perturbations of a linear damped oscillator. Zbl 0363.90121Gorbunov, V. K. 3 1976 Optimum multipulse correction. Zbl 0215.60302Gorbunov, V. K.; Chernous’ko, F. L. 4 1970 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 4 Gorbunov, Vladimir K. 3 Andrzejczak, Grzegorz 3 Attili, Basem S. 3 Melikyan, Arik Artavazdovich 2 Bulatov, Mikhail Valer’yanovich 2 Korneev, Vseslav A. 2 März, Roswitha 2 Solovarova, Lyubov’ Stepanovna 1 Abu-Ghneim, Shefa 1 Abu-Hatab, Alaa 1 Aksenyushkina, Elena Vladimirovna 1 Ayoub, Aseel 1 Bronshteĭn, Efim Mikhaĭlovich 1 Chan, Chi Kin 1 Chistyakov, Viktor Filimonovich 1 Chistyakova, Elena Viktorovna 1 Dhaheri, Maitha 1 Fang, Xiangzhong 1 George, Edward I. 1 Han, Meijia 1 Hanke, Michael 1 Hassan, Shereen 1 Ismail, Ayat 1 Lee, H. W. Joseph 1 Li, Fanqun 1 Li, Zhaonan 1 Liu, Chongyang 1 Livshits, Mikhaĭl Yur’evich 1 Lutoshkin, Igor’ Vikotorovich 1 Lutoshkin, Igor’ Viktorovich 1 Martynenko, Yu. V. 1 Menaldi, Jose-Luis 1 Myburgh, Colin 1 Nenashev, Alekseĭ Vladimirovich 1 Phuong, T. D. 1 Rakhvalov, Nikolaǐ Petrovich 1 Robin, Maurice 1 Ročková, Veronika 1 Salhi, Shaima 1 Shen, Junshan 1 Srochko, Vladimir Andreevich 1 Sviridov, Vyacheslav Yu. 1 Tabash, Ikram 1 Tischendorf, Caren 1 Weinmüller, Ewa B. 1 Wong, Kar Hung 1 Wurm, Stefan 1 Yu, Hanjun 1 Zhang, Xinsheng all top 5 Cited in 16 Serials 4 Journal of Applied Mathematics and Mechanics 4 Applied Mathematics and Computation 4 Applied Numerical Mathematics 2 Journal of Computational and Applied Mathematics 2 Journal of Dynamical Systems and Geometric Theories 1 Mathematical Notes 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Optimization Theory and Applications 1 Metron 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Russian Mathematics 1 Journal of Systems Science and Complexity 1 Discrete and Continuous Dynamical Systems. Series S 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika all top 5 Cited in 12 Fields 16 Numerical analysis (65-XX) 11 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Systems theory; control (93-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operations research, mathematical programming (90-XX) 3 Functional analysis (46-XX) 2 Statistics (62-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Citations by Year