Edit Profile Makarov, Volodymyr Leonidovich Compute Distance To: Compute Author ID: makarov.volodymyr-l Published as: Makarov, V.; Makarov, V. L.; Makarov, Vladimir; Makarov, Vladimir L.; Makarov, Volodymyr; Makarov, Volodymyr L. Homepage: http://www.imath.kiev.ua/people/profile.php?pid=169&tab=1&lang=en External Links: MGP · Math-Net.Ru · ORCID · dblp Documents Indexed: 378 Publications since 1966, including 11 Books Reviewing Activity: 240 Reviews Biographic References: 2 Publications all top 5 Co-Authors 21 single-authored 75 Gavrilyuk, Ivan P. 30 Khlobystov, Volodymyr Volodymyrovych 22 Vojtsekhovskyj, S. A. 18 Lazurchak, I. I. 17 Demkiv, I. I. 16 Samarskiĭ, Aleksandr Andreevich 12 Dragunov, Denys V. 12 Vasylyk, Vitaliĭ Borysovych 11 Kutniv, Myroslav V. 10 Gavrylyuk, I. P. 10 Romanyuk, Nataliia Mykolaivna 9 Bandyrskii, B. I. 8 Burkovskaya, V. L. 8 Klunnik, A. A. 7 Kalinin, V. M. 7 Lazarov, Rajčo D. 7 Lukovsky, Ivan Oleksandrovych 7 Luzhnykh, V. M. 7 Ryzhenko, Andrij I. 6 Demkiv, Lyubomyr I. 6 Hermann, Martin 6 Perestyuk, Mykola Oleksiĭovych 6 Prikazchikov, Viktor G. 6 Rossokhata, Nataliya O. 6 Sytnyk, D. O. 5 Gocheva-Ilieva, Snezhana Georgieva 5 Kopystyra, N. P. 5 Lyashko, Ivan Ivanovich 5 Makarov, S. V. 5 Mayko, Nataliya Valentynivna 5 Sharkovskiĭ, Oleksandr Mykolaiovych 5 Shmanenko, T. L. 4 Belov, Yurij A. 4 Berezans’kyĭ, Yuriĭ Makarovych 4 Boĭchuk, Oleksandr Andriĭovych 4 Burkhanov, Sh. A. 4 Guminskij, V. V. 4 Korolyuk, Volodymyr Semenovych 4 Kuzmin, Andrei V. 4 Kuzyk, A. M. 4 Lazarov, Raytcho D. 4 Makarov, I. L. 4 Moskal’kov, M. N. 4 Pirnazarov, S. P. 4 Rossokhataya, N. A. 4 Ryabichev, Vyacheslav L. 4 Sa”dullaev, S. S. 4 Samoĭlenko, Anatoliĭ Mykhaĭlovych 4 Shablij, T. G. 3 Arazmyradov, T. 3 Chapko, Roman 3 Karkarashvili, G. S. 3 Kulyev, D. T. 3 Meladze, G. V. 3 Mykhal’chuk, B. R. 3 Nikitin, A. H. 3 Parasyuk, Igor O. 3 Polozhii, Georgii Nikolaevich 3 Rossokhatyĭ, V. K. 3 Sember, D. A. 3 Weinelt, Wilfried 2 Drozd, Yuriĭ Anatoliĭovych 2 Dzhuraev, I. N. 2 Guminskaya, N. A. 2 Kashpur, E. F. 2 Kolesnik, T. V. 2 Koshlyakov, V. M. 2 Kulyk, Anatoli B. 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Moskal’kov, Mykhajlo M. 2 Novichenko, V. N. 2 Portenko, Mykola Ivanovych 2 Ramizov, Dzh. 2 Rossokhata, Nataliia 2 Rybak, Yu. I. 2 Samoĭlenko, Yuriĭ Stefanovych 2 Sharko, Volodymyr Vasil’ovych 2 Shelepov, V. G. 2 Shul’zhenko, V. B. 2 Skorobogat’ko, A. A. 2 Slushaenko, N. V. 2 Sytnyk, Dmytro 2 Timokha, Alexander N. 2 Tkachenko, Victor Ivanovich 2 Ukhanev, O. L. 2 Vasylyk, V. V. 2 Vinokur, V. V. 2 Yanovich, Leonid Aleksandrovich 1 Anisimov, Anatoly V. 1 Antonyuk, Oleksandra Viktorivna 1 Arov, Damir Zyamovich 1 Babenko, Christina 1 Babenko, K. Ye. 1 Bandurskii, B. I. 1 Bandyrs’kyj, B. J. 1 Bohonova, T. Yu. 1 Bontchev, E. K. 1 Burkivs’ka, V. L. 1 Chekan, D. D. 1 Demkiv, Ihor ...and 75 more Co-Authors all top 5 Serials 30 Vychislitel’naya i Prikladnaya Matematika 29 Differential Equations 29 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 22 Computational Methods in Applied Mathematics 17 Ukrainian Mathematical Journal 12 Soviet Mathematics. Doklady 12 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 11 Differentsial’nye Uravneniya 11 U.S.S.R. Computational Mathematics and Mathematical Physics 11 Journal of Mathematical Sciences (New York) 10 Ukraïns’kyĭ Matematychnyĭ Zhurnal 9 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 7 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 7 Journal of Soviet Mathematics 7 Obchyslyuval’na ta Prykladna Matematyka 6 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 5 Russian Academy of Sciences. Doklady. Mathematics 5 Matematychni Metody ta Fizyko-Mekhanichni Polya 4 Numerical Functional Analysis and Optimization 4 Cybernetics and Systems Analysis 4 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 4 Applied Mathematics and Informatics 3 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 Doklady Bolgarskoĭ Akademii Nauk 3 Soviet Physics. Doklady 3 Zhurnal Obchyslyuval’noïta Prykladnoï Matematyky 3 Matematicheskoe Modelirovanie 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 2 Soviet Mathematics 2 Cybernetics 2 Journal of Integral Equations and Applications 2 Computational Mathematics and Mathematical Physics 2 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki 2 Differential Equations 2 Nonlinear Analysis. Modelling and Control 2 Visnyk L’vivs’kogo Universytetu. Seriya Prykladna Matematyka ta Informatyka 1 IMA Journal of Numerical Analysis 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Soviet Applied Mechanics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Numerische Mathematik 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Numerical Mathematics 1 Nauchni Trudove 1 Nauchni Trudove. Matematika 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Mathematics of the USSR, Sbornik 1 SIAM Journal on Applied Mathematics 1 Doklady Mathematics 1 Trudy Instituta Matematiki 1 Applied Mathematics, Informatics and Mechanics 1 Advances in Difference Equations 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR 1 ISNM. International Series of Numerical Mathematics 1 Nonlinear Oscillations 1 Quantum Information & Computation 1 Frontiers in Mathematics all top 5 Fields 261 Numerical analysis (65-XX) 132 Partial differential equations (35-XX) 120 Ordinary differential equations (34-XX) 39 Approximations and expansions (41-XX) 24 Operator theory (47-XX) 12 Integral equations (45-XX) 11 Potential theory (31-XX) 10 Mechanics of deformable solids (74-XX) 8 Special functions (33-XX) 8 Fluid mechanics (76-XX) 7 History and biography (01-XX) 7 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 4 Sequences, series, summability (40-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 124 Publications have been cited 383 times in 213 Documents Cited by ▼ Year ▼ Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces. Zbl 1116.65063Gavrilyuk, I. P.; Makarov, V. L. 21 2005 Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach spaces. Zbl 0849.65040Gavrilyuk, I. P.; Makarov, V. L. 14 1996 Application of exact difference schemes for construction and investigation of difference schemes for generalized solutions. Zbl 0494.65055Lazarov, R. D.; Makarov, V. L.; Samarskij, A. A. 12 1982 Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056Gavrilyuk, I.; Makarov, V. 11 2001 Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces. Zbl 1002.65101Samarskii, Alexander A.; Gavrilyuk, Ivan P.; Makarov, Vladimir L. 11 2001 On apriori estimates of difference schemes giving an account of the boundary effect. Zbl 0673.65045Makarov, V. 11 1989 The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space. Zbl 0802.47049Gavrilyuk, Ivan P.; Makarov, Vladimir L. 10 1994 Eigenvalue problem for the second order differential equation with nonlocal conditions. Zbl 1112.65071Bandyrskii, B.; Lazurchak, I.; Makarov, V.; Sapagovas, M. 9 2006 Solution of a boundary-value problem for a quasilinear parabolic equation with a nonclassical boundary condition. Zbl 0573.35048Makarov, V. L.; Kulyev, D. T. 9 1985 FD-method: the exponential rate of convergence. Zbl 0985.65054Makarov, V. L. 8 1997 Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V. 7 2011 On the convergence of difference schemes for the approximation of solutions \(u\in W^ m_ 2 (m>0.5)\) of elliptic equations with mixed derivatives. Zbl 0525.65069Lazarov, Rajčo D.; Makarov, Vladimir L.; Weinelt, Wilfried 7 1984 Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives. Zbl 1352.65201Demkiv, Ihor; Gavrilyuk, Ivan P.; Makarov, Volodymyr L. 6 2016 Exponentially convergent parallel algorithm for nonlinear eigenvalue problems. Zbl 1130.65078Gavrilyuk, I. P.; Klimenko, A. V.; Makarov, V. L.; Rossokhata, N. O. 6 2007 Accuracy estimates of difference schemes for quasi-linear elliptic equations with variable coefficients taking into account boundary effect. Zbl 1118.65378Makarov, Volodymyr; Demkiv, Lyubomyr 6 2005 Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084Gavrilyuk, Ivan P.; Makarov, Vladimir L. 6 1999 Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii 5 2011 Weight uniform accuracy estimates of finite difference method for Poisson equation, taking into account boundary effect. Zbl 1233.65078Makarov, V. L.; Demkiv, L. I. 5 2009 Functional-discrete method (FD-method) for matrix Sturm-Liouville problems. Zbl 1088.65074Bandyrskii, B. Ĭ.; Gavrilyuk, I. P.; Lazurchak, I. I.; Makarov, V. L. 5 2005 Strongly positive operators and numerical algorithms without accuracy saturation. Zbl 1150.65300Gavrilyuk, I. P.; Makarov, V. L. 5 2004 FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0970.65089Makarov, V. L.; Ukhanev, O. L. 5 1997 Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform. Zbl 0828.34045Arov, D. Z.; Gavrilyuk, I. P.; Makarov, V. L. 5 1995 Stability and convergence in the \(C\)-norm of difference schemes for a parabolic equation with a nonlocal boundary condition. Zbl 1189.65207Ionkin, N. I.; Makarov, V. L.; Furletov, D. G. 5 1992 Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia 4 2018 New properties of the FD-method in its applications to the Sturm-Liouville problems. Zbl 1313.65198Makarov, V. L.; Romanyuk, N. M. 4 2014 Fakes states, attack using detector efficiency mismatch on SARG04, phase-time, DPSK, and Ekert protocol. Zbl 1154.81321Makarov, V.; Skaar, J. 4 2008 Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers. Zbl 1139.65057Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L. 4 2006 Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Zbl 1066.65061Gavrilyuk, Ivan P.; Makarov, Volodymyr L. 4 2005 A two-point difference scheme of an arbitrary order of accuracy for BVPs for systems of first order nonlinear ODEs. Zbl 1068.65102Makarov, V. L.; Gavrilyuk, I. P.; Kutniv, M. V.; Hermann, M. 4 2004 Estimates of the accuracy of difference schemes for parabolic equations taking into account the initial-boundary effect. Zbl 1024.65085Makarov, V. L.; Demkiv, L. I. 4 2003 Theory of gyroscopic systems with non-conservative forces. Zbl 1051.70504Koshlyakov, V. N.; Makarov, V. L. 4 2001 Exponentially convergent parallel discretization method for the first order evolution equation. Zbl 1066.65063Makarov, V. L.; Gavrilyuk, I. P. 4 2000 On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057Gavrilyuk, I.; Makarov, V.; Chapko, R. 4 1999 Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation. Zbl 0970.65085Kutniv, M. V.; Makarov, V. L.; Samarskii, A. A. 4 1999 Estimates of the rate of convergence of difference schemes for fourth- order elliptic equations. Zbl 0541.65064Gavrilyuk, I. P.; Lazarov, R. D.; Makarov, V. L.; Pirnazarov, S. P. 4 1983 Convergence of a difference method and the method of lines for multidimensional problems of mathematical physics in classes of generalized solutions. Zbl 0485.65069Lazarov, R. D.; Makarov, V. L. 4 1981 On exact difference schemes for the ordinary differential fourth-order equation. Zbl 0413.34019Burkhanov, Sh.; Gutmins’ka, N. O.; Makarov, V. L.; Prikazchikov, V. G. 4 1978 Interpolating integral continued fraction of Thiele type. Zbl 1349.40009Makarov, V. L.; Demkiv, I. I. 3 2014 The FD-method for solving Sturm-Liouville problems with special singular differential operator. Zbl 1262.65089Makarov, V. L.; Dragunov, D. V.; Klimenko, Ya. V. 3 2013 Approximation of the Urysohn operator by operator polynomials of Stancu type. Zbl 1263.41015Makarov, V. L.; Demkiv, I. I. 3 2012 Adaptive algorithms based on exact difference schemes for nonlinear BVPs on the half-axis. Zbl 1162.65371Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L. 3 2009 A method with a controllable exponential convergence rate for nonlinear differential operator equations. Zbl 1170.65039Gavrilyuk, I. P.; Makarov, V. L.; Lazurchak, I. I.; Sytnyk, D. 3 2009 Application of the FD-method to the solution of the Sturm-Liouville problem with coefficients of special form. Zbl 1150.65019Makarov, V. L.; Klymenko, Ya. V. 3 2007 Difference schemes for nonlinear BVPs on the semiaxis. Zbl 1149.65061Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L. 3 2007 Evolutional problems of the contained fluid. With a foreword by Martin Hermann. Zbl 1150.76001Gavrilyuk, Ivan P.; Lukovsky, Ivan A.; Makarov, Vladimir L.; Timokha, Alexander N. 3 2006 Interpolational integral continued fractions. Zbl 1072.65012Makarov, V. L.; Khlobystov, V. V.; Mykhal’chuk, B. R. 3 2003 Integral equations of the linear sloshing in an infinite chute and their discretization. Zbl 1029.76004Gavrilyuk, Ivan P.; Kulyk, Anatoli B.; Makarov, Vladimir L. 3 2001 Exact and approximate solutions of some operator equations based on the Cayley transform. Zbl 0938.47013Gavrilyuk, Ivan P.; Makarov, Vladimir L. 3 1998 An estimate of the accuracy of the method of summarized approximation of the solution of the abstract Cauchy problem. Zbl 0601.65047Kuzyk, A. M.; Makarov, V. L. 3 1984 Spline approximation of functions. Textbook. (Splajn-approksimatsiya funktsij. Uchebnoe posobie). Zbl 0561.41001Makarov, V. L.; Khlobystov, V. V. 3 1983 The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078Makarov, Volodymyr; Mayko, Nataliya 2 2019 The FD-method for an eigenvalue problem in the case where the basic problem has eigenvalues of arbitrary multiplicities in a Hilbert space. Zbl 1340.65106Makarov, V. L.; Romanyuk, N. M. 2 2015 FD-method for eigenvalue problem with multiple eigenvalues of the basic problem. Zbl 1340.65107Makarov, V. L.; Romanyuk, N. M.; Lazurchak, I. I. 2 2014 A numerical-analytic method for solving the Cauchy problem for ordinary differential equations. Zbl 1284.65085Makarov, Volodymyr; Dragunov, Denys 2 2011 Exponentially convergent method for the \(m\)-point nonlocal problem for a first order differential equation in Banach space. Zbl 1193.65080Gavrilyuk, I. P.; Makarov, V. L.; Sytnyk, D. O.; Vasylyk, V. B. 2 2010 The functional discrete method for the approximate solution of the Cauchy problem on the infinite interval. Zbl 1199.65233Makarov, V. L.; Dragunov, D. V. 2 2010 The functional discrete method of solving the eigenvalue problems for nonlinear differential equations. Zbl 1164.65448Makarov, V. L. 2 2008 On continual knots of the interpolation of formulas of the Newton and Hermite types in linear topological spaces. Zbl 1150.41310Makarov, V. L.; Khlobystov, V. V.; Demkiv, I. I. 2 2007 Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V. 2 2006 Functional-discrete method for eigenvalue transmission problem with periodic boundary conditions. Zbl 1082.34027Makarov, V. L.; Rossokhata, N. O.; Bandyrskiĭ, B. Ĭ. 2 2005 Accuracy estimates of difference schemes for quasi-linear parabolic equations taking into account the initial-boundary effect. Zbl 1038.65086Makarov, V. L.; Demkiv, L. I. 2 2003 Sufficient conditions for the eigenvalues of the operator \(-d^2/dx^2+q(x)\) under the Ionkin-Samarskii conditions. Zbl 1011.34015Bandyrskii, B. I.; Makarov, V. L. 2 2000 FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0977.65070Bandyrs’kyj, B. J.; Makarov, V. L.; Ukhan’ov, O. L. 2 2000 Structural analysis of one class of dynamical systems. Zbl 1074.70531Koshlyakov, V. N.; Makarov, V. L. 2 2000 Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. Zbl 0939.65085Gavrilyuk, Ivan P.; Makarov, Vladimir L. 2 1999 Polynomial interpolation of operators. Zbl 0909.41004Makarov, V. L.; Khlobystov, V. V. 2 1994 Solution of a singularly perturbed nonstationary fourth-order boundary-value problem. Zbl 0838.65091Makarov, V. L.; Guminskij, V. V. 2 1994 Increasing the accuracy of approximations of polynomial operators in Hilbert spaces by the interpolation method. Zbl 0843.47008Makarov, V. L.; Khlobystov, V. V. 2 1994 Polynomial interpolation of operators in Hilbert spaces. Zbl 0797.41002Makarov, V. L.; Khlobystov, V. V. 2 1992 Exact three-point difference schemes for nonlinear ordinary differential equations of second order, and their realization. Zbl 0717.65053Makarov, V. L.; Samarskij, A. A. 2 1990 An interpolation method for solving the identification problem for a functional system described by the Urysohn operator. Zbl 0672.93019Makarov, V. L.; Khlobystov, V. V. 2 1988 Compatible estimates for the rate of convergence of difference solutions to generalized solutions of the first boundary value problem for fourth order equations. Zbl 0541.65062Gavrilyuk, I. P.; Makarov, V. L.; Pirnazarov, S. P. 2 1983 An algorithm for constructing completely conservative difference schemes. Zbl 0517.65065Kuz’min, A. V.; Makarov, V. L. 2 1982 Ein exaktes Differenzenschema und abgeschnittene Differenzenschemata für eine gewisse Klasse Sturm-Liouvillescher Probleme mit Entartung. Zbl 0438.65071Makarov, V. L.; Gavrilyuk, I. P.; Luzhnykh, V. M. 2 1980 Construction of special solutions of resonance differential equations. Zbl 0406.35059Makarov, V. L.; Arazmyradov, T. 2 1978 Meixner polynomials and their properties. Zbl 1438.33016Makarov, V. L. 1 2019 Boundary effect in accuracy estimate of the grid method for solving fractional differential equations. Zbl 07096967Makarov, V. L.; Mayko, N. V. 1 2019 Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential. Zbl 1412.65059Makarov, Volodymyr; Romaniuk, Nataliia 1 2018 Exact solutions of a spectral problem for the Schrödinger differential operator with polynomial potential in \(\mathbb R^2\). Zbl 1374.65190Makarov, V. L. 1 2017 Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ordinary differential equations. Zbl 1361.65033Gavrilyuk, I. P.; Makarov, V. L.; Romanyuk, N. M. 1 2017 An integral interpolation chain fraction of the Thiele type. Zbl 1363.41005Makarov, V. L.; Demkiv, I. I. 1 2016 The FD-method in spectral problems for the Schrödinger operator with polynomial potential on \((-\infty,\infty)\). Zbl 1340.65260Makarov, V. L. 1 2015 FD-method for solving the nonlinear Klein-Gordon equation. Zbl 1277.65072Makarov, V. L.; Dragunov, D. V.; Sember, D. A. 1 2013 Exponentially convergent functional-discrete method for eigenvalue transmission problems with a discontinuous flux and the potential as a function in the space \(L_1\). Zbl 1284.65091Makarov, Volodymyr; Rossokhata, Nataliia; Dragunov, Denys 1 2012 Methods of operator interpolation. Zbl 1240.41001Makarov, Volodymyr L.; Khlobystov, Volodymyr V.; Yanovich, Leonid A. 1 2010 Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations. Zbl 1178.65089Gnativ, L. B.; Kutniv, M. V.; Makarov, V. L. 1 2009 Exponentially convergent Duhamel-like algorithms for differential equations with an operator coefficient possessing a variable domain in a Banach space. Zbl 1160.65020Bohonova, T. Yu.; Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V. 1 2008 FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions. Zbl 1268.34041Makarov, V. L.; Rossokhata, N. O. 1 2007 An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Zbl 1126.65118Gavrilyuk, Ivan P.; Makarov, Volodymyr L. 1 2007 Taking into account the third kind conditions in weight estimates for difference schemes. Zbl 1142.65376Makarov, Volodymyr L.; Demkiv, Lyubomyr I. 1 2006 Stability of nonconservative systems with degenerate matrices of dissipative forces. Zbl 1122.70340Koshlyakov, V. N.; Makarov, V. L. 1 2004 Functional-discrete method with a high order of accuracy for the eigenvalue transmission problem. Zbl 1064.34073Makarov, V. L.; Rossokhata, N. O.; Bandurskii, B. I. 1 2004 A new estimate of the sinc method for linear parabolic problems including the initial point. Zbl 1069.65100Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Vasylyk, Vitaliy 1 2004 Nonclassical asymptotic formulas and approximation with an arbitrary order of accuracy of eigenvalues of the Sturm-Liouville problem with Bitsadze-Samarskii conditions. Zbl 1071.34027Makarov, V. L.; Lazurchak, I. I.; Bandyrskii, B. I. 1 2003 Necessary and sufficient conditions for the existence of a functional interpolational polynomial on the continuum set of knots. Zbl 1036.41002Makarov, V. L.; Demkiv, I. I.; Mykhal’chuk, B. R. 1 2003 A parallel method of high accuracy for the first order evolution equation in Hilbert and Banach spaces. Zbl 1047.65034Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Ryabichev, Vyacheslav L. 1 2003 Unimprovable order-of-magnitude estimates of the rate of convergence of the Cayley transform method for approximation of an operator exponent. Zbl 1033.34063Makarov, V. L.; Vasilik, V. B.; Ryabichev, V. L. 1 2002 Unimprovable accuracy estimates of the Cayley transformation method for calculating the operator cosine function. Zbl 1024.65042Makarov, V. L.; Ryabichev, V. L. 1 2002 The accuracy of approximation of the operator exponent. Zbl 1026.34067Makarov, Volodymyr L.; Majko, Nataliya V.; Ryabichev, Vyacheslav L. 1 2002 Exponentially convergent methods of parallel discretization for the first order evolution equations. Zbl 0995.65104Makarov, V. L.; Gavrylyuk, I. P. 1 2002 The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078Makarov, Volodymyr; Mayko, Nataliya 2 2019 Meixner polynomials and their properties. Zbl 1438.33016Makarov, V. L. 1 2019 Boundary effect in accuracy estimate of the grid method for solving fractional differential equations. Zbl 07096967Makarov, V. L.; Mayko, N. V. 1 2019 Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia 4 2018 Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential. Zbl 1412.65059Makarov, Volodymyr; Romaniuk, Nataliia 1 2018 Exact solutions of a spectral problem for the Schrödinger differential operator with polynomial potential in \(\mathbb R^2\). Zbl 1374.65190Makarov, V. L. 1 2017 Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ordinary differential equations. Zbl 1361.65033Gavrilyuk, I. P.; Makarov, V. L.; Romanyuk, N. M. 1 2017 Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives. Zbl 1352.65201Demkiv, Ihor; Gavrilyuk, Ivan P.; Makarov, Volodymyr L. 6 2016 An integral interpolation chain fraction of the Thiele type. Zbl 1363.41005Makarov, V. L.; Demkiv, I. I. 1 2016 The FD-method for an eigenvalue problem in the case where the basic problem has eigenvalues of arbitrary multiplicities in a Hilbert space. Zbl 1340.65106Makarov, V. L.; Romanyuk, N. M. 2 2015 The FD-method in spectral problems for the Schrödinger operator with polynomial potential on \((-\infty,\infty)\). Zbl 1340.65260Makarov, V. L. 1 2015 New properties of the FD-method in its applications to the Sturm-Liouville problems. Zbl 1313.65198Makarov, V. L.; Romanyuk, N. M. 4 2014 Interpolating integral continued fraction of Thiele type. Zbl 1349.40009Makarov, V. L.; Demkiv, I. I. 3 2014 FD-method for eigenvalue problem with multiple eigenvalues of the basic problem. Zbl 1340.65107Makarov, V. L.; Romanyuk, N. M.; Lazurchak, I. I. 2 2014 The FD-method for solving Sturm-Liouville problems with special singular differential operator. Zbl 1262.65089Makarov, V. L.; Dragunov, D. V.; Klimenko, Ya. V. 3 2013 FD-method for solving the nonlinear Klein-Gordon equation. Zbl 1277.65072Makarov, V. L.; Dragunov, D. V.; Sember, D. A. 1 2013 Approximation of the Urysohn operator by operator polynomials of Stancu type. Zbl 1263.41015Makarov, V. L.; Demkiv, I. I. 3 2012 Exponentially convergent functional-discrete method for eigenvalue transmission problems with a discontinuous flux and the potential as a function in the space \(L_1\). Zbl 1284.65091Makarov, Volodymyr; Rossokhata, Nataliia; Dragunov, Denys 1 2012 Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V. 7 2011 Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii 5 2011 A numerical-analytic method for solving the Cauchy problem for ordinary differential equations. Zbl 1284.65085Makarov, Volodymyr; Dragunov, Denys 2 2011 Exponentially convergent method for the \(m\)-point nonlocal problem for a first order differential equation in Banach space. Zbl 1193.65080Gavrilyuk, I. P.; Makarov, V. L.; Sytnyk, D. O.; Vasylyk, V. B. 2 2010 The functional discrete method for the approximate solution of the Cauchy problem on the infinite interval. Zbl 1199.65233Makarov, V. L.; Dragunov, D. V. 2 2010 Methods of operator interpolation. Zbl 1240.41001Makarov, Volodymyr L.; Khlobystov, Volodymyr V.; Yanovich, Leonid A. 1 2010 Weight uniform accuracy estimates of finite difference method for Poisson equation, taking into account boundary effect. Zbl 1233.65078Makarov, V. L.; Demkiv, L. I. 5 2009 Adaptive algorithms based on exact difference schemes for nonlinear BVPs on the half-axis. Zbl 1162.65371Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L. 3 2009 A method with a controllable exponential convergence rate for nonlinear differential operator equations. Zbl 1170.65039Gavrilyuk, I. P.; Makarov, V. L.; Lazurchak, I. I.; Sytnyk, D. 3 2009 Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations. Zbl 1178.65089Gnativ, L. B.; Kutniv, M. V.; Makarov, V. L. 1 2009 Fakes states, attack using detector efficiency mismatch on SARG04, phase-time, DPSK, and Ekert protocol. Zbl 1154.81321Makarov, V.; Skaar, J. 4 2008 The functional discrete method of solving the eigenvalue problems for nonlinear differential equations. Zbl 1164.65448Makarov, V. L. 2 2008 Exponentially convergent Duhamel-like algorithms for differential equations with an operator coefficient possessing a variable domain in a Banach space. Zbl 1160.65020Bohonova, T. Yu.; Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V. 1 2008 Exponentially convergent parallel algorithm for nonlinear eigenvalue problems. Zbl 1130.65078Gavrilyuk, I. P.; Klimenko, A. V.; Makarov, V. L.; Rossokhata, N. O. 6 2007 Application of the FD-method to the solution of the Sturm-Liouville problem with coefficients of special form. Zbl 1150.65019Makarov, V. L.; Klymenko, Ya. V. 3 2007 Difference schemes for nonlinear BVPs on the semiaxis. Zbl 1149.65061Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L. 3 2007 On continual knots of the interpolation of formulas of the Newton and Hermite types in linear topological spaces. Zbl 1150.41310Makarov, V. L.; Khlobystov, V. V.; Demkiv, I. I. 2 2007 FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions. Zbl 1268.34041Makarov, V. L.; Rossokhata, N. O. 1 2007 An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Zbl 1126.65118Gavrilyuk, Ivan P.; Makarov, Volodymyr L. 1 2007 Eigenvalue problem for the second order differential equation with nonlocal conditions. Zbl 1112.65071Bandyrskii, B.; Lazurchak, I.; Makarov, V.; Sapagovas, M. 9 2006 Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers. Zbl 1139.65057Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L. 4 2006 Evolutional problems of the contained fluid. With a foreword by Martin Hermann. Zbl 1150.76001Gavrilyuk, Ivan P.; Lukovsky, Ivan A.; Makarov, Vladimir L.; Timokha, Alexander N. 3 2006 Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V. 2 2006 Taking into account the third kind conditions in weight estimates for difference schemes. Zbl 1142.65376Makarov, Volodymyr L.; Demkiv, Lyubomyr I. 1 2006 Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces. Zbl 1116.65063Gavrilyuk, I. P.; Makarov, V. L. 21 2005 Accuracy estimates of difference schemes for quasi-linear elliptic equations with variable coefficients taking into account boundary effect. Zbl 1118.65378Makarov, Volodymyr; Demkiv, Lyubomyr 6 2005 Functional-discrete method (FD-method) for matrix Sturm-Liouville problems. Zbl 1088.65074Bandyrskii, B. Ĭ.; Gavrilyuk, I. P.; Lazurchak, I. I.; Makarov, V. L. 5 2005 Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Zbl 1066.65061Gavrilyuk, Ivan P.; Makarov, Volodymyr L. 4 2005 Functional-discrete method for eigenvalue transmission problem with periodic boundary conditions. Zbl 1082.34027Makarov, V. L.; Rossokhata, N. O.; Bandyrskiĭ, B. Ĭ. 2 2005 Strongly positive operators and numerical algorithms without accuracy saturation. Zbl 1150.65300Gavrilyuk, I. P.; Makarov, V. L. 5 2004 A two-point difference scheme of an arbitrary order of accuracy for BVPs for systems of first order nonlinear ODEs. Zbl 1068.65102Makarov, V. L.; Gavrilyuk, I. P.; Kutniv, M. V.; Hermann, M. 4 2004 Stability of nonconservative systems with degenerate matrices of dissipative forces. Zbl 1122.70340Koshlyakov, V. N.; Makarov, V. L. 1 2004 Functional-discrete method with a high order of accuracy for the eigenvalue transmission problem. Zbl 1064.34073Makarov, V. L.; Rossokhata, N. O.; Bandurskii, B. I. 1 2004 A new estimate of the sinc method for linear parabolic problems including the initial point. Zbl 1069.65100Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Vasylyk, Vitaliy 1 2004 Estimates of the accuracy of difference schemes for parabolic equations taking into account the initial-boundary effect. Zbl 1024.65085Makarov, V. L.; Demkiv, L. I. 4 2003 Interpolational integral continued fractions. Zbl 1072.65012Makarov, V. L.; Khlobystov, V. V.; Mykhal’chuk, B. R. 3 2003 Accuracy estimates of difference schemes for quasi-linear parabolic equations taking into account the initial-boundary effect. Zbl 1038.65086Makarov, V. L.; Demkiv, L. I. 2 2003 Nonclassical asymptotic formulas and approximation with an arbitrary order of accuracy of eigenvalues of the Sturm-Liouville problem with Bitsadze-Samarskii conditions. Zbl 1071.34027Makarov, V. L.; Lazurchak, I. I.; Bandyrskii, B. I. 1 2003 Necessary and sufficient conditions for the existence of a functional interpolational polynomial on the continuum set of knots. Zbl 1036.41002Makarov, V. L.; Demkiv, I. I.; Mykhal’chuk, B. R. 1 2003 A parallel method of high accuracy for the first order evolution equation in Hilbert and Banach spaces. Zbl 1047.65034Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Ryabichev, Vyacheslav L. 1 2003 Unimprovable order-of-magnitude estimates of the rate of convergence of the Cayley transform method for approximation of an operator exponent. Zbl 1033.34063Makarov, V. L.; Vasilik, V. B.; Ryabichev, V. L. 1 2002 Unimprovable accuracy estimates of the Cayley transformation method for calculating the operator cosine function. Zbl 1024.65042Makarov, V. L.; Ryabichev, V. L. 1 2002 The accuracy of approximation of the operator exponent. Zbl 1026.34067Makarov, Volodymyr L.; Majko, Nataliya V.; Ryabichev, Vyacheslav L. 1 2002 Exponentially convergent methods of parallel discretization for the first order evolution equations. Zbl 0995.65104Makarov, V. L.; Gavrylyuk, I. P. 1 2002 Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056Gavrilyuk, I.; Makarov, V. 11 2001 Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces. Zbl 1002.65101Samarskii, Alexander A.; Gavrilyuk, Ivan P.; Makarov, Vladimir L. 11 2001 Theory of gyroscopic systems with non-conservative forces. Zbl 1051.70504Koshlyakov, V. N.; Makarov, V. L. 4 2001 Integral equations of the linear sloshing in an infinite chute and their discretization. Zbl 1029.76004Gavrilyuk, Ivan P.; Kulyk, Anatoli B.; Makarov, Vladimir L. 3 2001 Exponentially convergent parallel discretization method for the first order evolution equation. Zbl 1066.65063Makarov, V. L.; Gavrilyuk, I. P. 4 2000 Sufficient conditions for the eigenvalues of the operator \(-d^2/dx^2+q(x)\) under the Ionkin-Samarskii conditions. Zbl 1011.34015Bandyrskii, B. I.; Makarov, V. L. 2 2000 FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0977.65070Bandyrs’kyj, B. J.; Makarov, V. L.; Ukhan’ov, O. L. 2 2000 Structural analysis of one class of dynamical systems. Zbl 1074.70531Koshlyakov, V. N.; Makarov, V. L. 2 2000 An explicit boundary integral representation of the solution of the two-dimensional heat equation and its discretization. Zbl 0980.65099Gavrilyuk, I. P.; Makarov, V. L. 1 2000 Interpolation operators. Zbl 0956.47007Makarov, V. L.; Khlobystov, V. V.; Yanovich, L. A. 1 2000 Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084Gavrilyuk, Ivan P.; Makarov, Vladimir L. 6 1999 On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057Gavrilyuk, I.; Makarov, V.; Chapko, R. 4 1999 Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation. Zbl 0970.65085Kutniv, M. V.; Makarov, V. L.; Samarskii, A. A. 4 1999 Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. Zbl 0939.65085Gavrilyuk, Ivan P.; Makarov, Vladimir L. 2 1999 Sufficient conditions for the convergence of nonclassical asymptotic expansions for the Sturm-Liouville problem with periodic boundary conditions. Zbl 0947.65094Bandyrskij, B. I.; Makarov, V. L.; Ukhanev, O. L. 1 1999 Exact and approximate solutions of some operator equations based on the Cayley transform. Zbl 0938.47013Gavrilyuk, Ivan P.; Makarov, Vladimir L. 3 1998 Principles of the theory of polynomial operator interpolation. Zbl 0952.41002Makarov, V. L.; Khlobystov, V. V. 1 1998 FD-method: the exponential rate of convergence. Zbl 0985.65054Makarov, V. L. 8 1997 FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0970.65089Makarov, V. L.; Ukhanev, O. L. 5 1997 Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach spaces. Zbl 0849.65040Gavrilyuk, I. P.; Makarov, V. L. 14 1996 Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform. Zbl 0828.34045Arov, D. Z.; Gavrilyuk, I. P.; Makarov, V. L. 5 1995 Polynomial interpolation of operators. Zbl 0929.41003Makarov, V. L.; Khlobystov, V. V. 1 1995 The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space. Zbl 0802.47049Gavrilyuk, Ivan P.; Makarov, Vladimir L. 10 1994 Polynomial interpolation of operators. Zbl 0909.41004Makarov, V. L.; Khlobystov, V. V. 2 1994 Solution of a singularly perturbed nonstationary fourth-order boundary-value problem. Zbl 0838.65091Makarov, V. L.; Guminskij, V. V. 2 1994 Increasing the accuracy of approximations of polynomial operators in Hilbert spaces by the interpolation method. Zbl 0843.47008Makarov, V. L.; Khlobystov, V. V. 2 1994 The (FD) method for first-order linear hyperbolic differential equations with piecewise smooth coefficients. Zbl 0839.65099Makarov, V. L.; Vinokur, V. V. 1 1993 Polynomial interpolation of operators in vector spaces. Zbl 0817.41010Makarov, V. L.; Khlobystov, V. V. 1 1993 Stability and convergence in the \(C\)-norm of difference schemes for a parabolic equation with a nonlocal boundary condition. Zbl 1189.65207Ionkin, N. I.; Makarov, V. L.; Furletov, D. G. 5 1992 Polynomial interpolation of operators in Hilbert spaces. Zbl 0797.41002Makarov, V. L.; Khlobystov, V. V. 2 1992 Exact three-point difference schemes for nonlinear ordinary differential equations of second order, and their realization. Zbl 0717.65053Makarov, V. L.; Samarskij, A. A. 2 1990 On realization of exact three-point difference schemes for second order ordinary differential equations with piecewise smooth coefficients. Zbl 0711.65060Samarskij, A. A.; Makarov, V. L. 1 1990 On apriori estimates of difference schemes giving an account of the boundary effect. Zbl 0673.65045Makarov, V. 11 1989 An interpolation method for solving the identification problem for a functional system described by the Urysohn operator. Zbl 0672.93019Makarov, V. L.; Khlobystov, V. V. 2 1988 Solution of integral equations in fractional Sobolev spaces. Zbl 0726.65156Makarov, V. L.; Karkarashvili, G. S. 1 1987 The rate of convergence of a difference scheme using the sum approximation method for generalized solutions. Zbl 0622.65081Kuzyk, A. M.; Makarov, V. L. 1 1986 Solution of a boundary-value problem for a quasilinear parabolic equation with a nonclassical boundary condition. Zbl 0573.35048Makarov, V. L.; Kulyev, D. T. 9 1985 Grid schemes for integral equations with non-smooth solutions. Zbl 0616.65139Makarov, V. L.; Karkarashvili, G. S. 1 1985 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 267 Authors 51 Makarov, Volodymyr Leonidovich 27 Gavrilyuk, Ivan P. 12 Ashyralyev, Allaberen 11 Mayko, Nataliya Valentynivna 9 Kutniv, Myroslav V. 7 Sapagovas, Mifodijus 6 Chapko, Roman 5 Berikelashvili, Givi 5 Dragunov, Denys V. 5 Jovanović, Boško S. 5 Khlobystov, Volodymyr Volodymyrovych 5 Romanyuk, Nataliia Mykolaivna 4 Demkiv, I. I. 4 Khoromskij, Boris N. 4 Weideman, J. André C. 3 Alikhanov, Anatoly A. 3 Bilenko, V. I. 3 Bojović, Dejan R. 3 Bozhonok, K. V. 3 Dal, Fadime 3 Dehghan Takht Fooladi, Mehdi 3 Dong, Chen 3 Dzyadyk, S. Yu. 3 Hermann, Martin 3 Koshlyakov, Vladimir Nikolaevich 3 Lapinska-Chrzczonowicz, Magdalena 3 Matus, Pëtr Paŭlavich 3 Melnik, Roderick V. Nicholas 3 Midodashvili, Bidzina 3 Ryabichev, Vyacheslav L. 3 Schweiger, Florian 3 Timokha, Alexander N. 3 Vasylyk, Vitaliĭ Borysovych 3 Yurtsever, Hasan Ali 2 Burkovskaya, V. L. 2 Gegechkori, Zurab 2 Gulin, Alexei V. 2 Guminskij, V. V. 2 Hackbusch, Wolfgang 2 Ivanauskas, Feliksas 2 Karsli, Harun 2 Kemmochi, Tomoya 2 Klunnik, A. A. 2 Koksal, Mehmet Emir 2 Krol, Magdalena Ewa 2 Kunynets’, A. V. 2 López-Fernández, María 2 Lukovsky, Ivan Oleksandrovych 2 Makarov, V. L. 2 McLean, William 2 Meškauskas, Tadas 2 Mirianashvili, Manana 2 Müller, Stefan 2 Pinar, Zehra 2 Piskarëv, S. I. 2 Podryga, Viktoriia O. 2 Prikazchikov, Viktor G. 2 Rogava, Jemal L. 2 Rossokhata, Nataliya O. 2 Shi, Lei 2 Štikonienė, Olga 2 Thomée, Vidar 2 Trefethen, Lloyd Nicholas 2 Trotsenko, Yuriy 2 Tsiklauri, Mikheil 2 Zhao, Shanghong 1 Abo-Hammour, Za’er S. 1 Aceto, Lidia 1 Agafonov, S. A. 1 Agarwal, Ravi P. 1 Aggez, Necmettin 1 Allasia, Giampietro 1 Alléaume, Romain 1 Alyoubi, Ahmad 1 Arqub, Omar Abu 1 Avalishvili, Gia 1 Avalishvili, Mariam 1 Babenko, Christina 1 Barbeiro, Sílvia 1 Barker, Andrew T. 1 Belov, Yurij A. 1 Beridze, Vakhtang 1 Berikelashvili, G. K. 1 Bertaccini, Daniele 1 Bertolazzi, Enrico 1 Bini, Dario Andrea 1 Bodnar, D. I. 1 Bodur, Murat 1 Boĭchuk, Oleksandr Andriĭovych 1 Bouda, Jan 1 Bracco, Cesare 1 Branciard, Cyril 1 Burkhanov, Sh. A. 1 Cerfon, Antoine J. 1 Chaĭkovs’kyĭ, Andriĭ Volodymyrovych 1 Chanane, Bilal 1 Che, YaLiang 1 Čiegis, Raimondas 1 Čiupaila, Regimantas 1 Criado-Aldeanueva, Francisco ...and 167 more Authors all top 5 Cited in 72 Serials 18 Cybernetics and Systems Analysis 14 Journal of Mathematical Sciences (New York) 13 Ukrainian Mathematical Journal 11 Journal of Computational and Applied Mathematics 10 Computational Methods in Applied Mathematics 9 Mathematics of Computation 9 Applied Numerical Mathematics 8 Applied Mathematics and Computation 8 Differential Equations 6 Numerical Functional Analysis and Optimization 5 Lithuanian Mathematical Journal 5 Numerische Mathematik 4 Computers & Mathematics with Applications 4 Prikladnaya Matematika i Mekhanika 4 Journal of Integral Equations and Applications 3 Journal of Soviet Mathematics 3 Numerical Methods for Partial Differential Equations 3 Matematychni Metody ta Fizyko-Mekhanichni Polya 3 Mathematical Problems in Engineering 3 Abstract and Applied Analysis 3 Quantum Information Processing 2 Journal of Engineering Mathematics 2 Results in Mathematics 2 SIAM Journal on Numerical Analysis 2 Cybernetics 2 Applied Mathematics Letters 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 International Applied Mechanics 2 Georgian Mathematical Journal 2 Discrete Dynamics in Nature and Society 2 M2AN. 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Razmadze Mathematical Institute all top 5 Cited in 32 Fields 160 Numerical analysis (65-XX) 83 Partial differential equations (35-XX) 54 Ordinary differential equations (34-XX) 19 Operator theory (47-XX) 13 Approximations and expansions (41-XX) 9 Integral equations (45-XX) 9 Fluid mechanics (76-XX) 8 Systems theory; control (93-XX) 6 Integral transforms, operational calculus (44-XX) 6 Mechanics of particles and systems (70-XX) 5 Sequences, series, summability (40-XX) 5 Mechanics of deformable solids (74-XX) 5 Information and communication theory, circuits (94-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 3 Potential theory (31-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year