Edit Profile (opens in new tab) Makarov, Volodymyr Leonidovych Compute Distance To: Compute Author ID: makarov.volodymyr-l Published as: Makarov, V. L.; Makarov, V.; Makarov, Volodymyr L.; Makarov, Vladimir L.; Makarov, Volodymyr; Makarov, Vladimir Further Spellings: Макаров Володимир Леонідович Homepage: https://www.imath.kiev.ua/people/profile.php?pid=169 External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp Documents Indexed: 389 Publications since 1966, including 12 Books Reviewing Activity: 240 Reviews Biographic References: 1 Publication Co-Authors: 174 Co-Authors with 355 Joint Publications 2,724 Co-Co-Authors all top 5 Co-Authors 29 single-authored 90 Gavrilyuk, Ivan P. 31 Khlobystov, Volodymyr Volodymyrovych 22 Vojtsekhovskyj, S. A. 18 Lazurchak, I. I. 17 Demkiv, I. I. 16 Samarskiĭ, Aleksandr Andreevich 13 Vasylyk, Vitaliĭ Borysovych 12 Dragunov, Denys V. 11 Kutniv, Myroslav V. 11 Lazarov, Raytcho D. 10 Romanyuk, Nataliia Mykolaivna 9 Bandyrskii, B. I. 8 Burkovskaya, V. L. 8 Klunnik, A. A. 8 Lukovsky, Ivan Oleksandrovych 7 Kalinin, V. M. 7 Luzhnykh, V. M. 7 Mayko, Nataliya Valentynivna 7 Perestyuk, Mykola Oleksiĭovych 7 Prikazchikov, Viktor G. 7 Ryzhenko, Andrij I. 6 Demkiv, Lyubomyr I. 6 Hermann, Martin 6 Rossokhata, Nataliya O. 5 Boĭchuk, Oleksandr Andriĭovych 5 Gocheva-Ilieva, Snezhana Georgieva 5 Kopystyra, N. P. 5 Lyashko, Ivan Ivanovich 5 Makarov, S. V. 5 Rubinshteĭn, Gennadiĭ Shlemovich 5 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 5 Shmanenko, T. L. 5 Sytnyk, D. O. 4 Belov, Yurij A. 4 Berezans’kyĭ, Yuriĭ Makarovych 4 Burkhanov, Sh. A. 4 Chapko, Roman 4 Guminskij, V. V. 4 Korolyuk, Volodymyr Semenovych 4 Koshlyakov, Vladimir Nikolaevich 4 Kutateladze, Semën Samsonovich 4 Kuzyk, A. M. 4 Makarov, I. L. 4 Moskal’kov, M. N. 4 Parasyuk, Igor O. 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 Karkarashvili, G. S. 3 Kulyev, D. T. 3 Meladze, G. V. 3 Mykhal’chuk, B. R. 3 Nikitin, A. H. 3 Polozhii, Georgii Nikolaevich 3 Romanovskiĭ, Iosif Vladimirovich 3 Rybak, Yu. I. 3 Sember, D. A. 3 Tkachenko, Victor Ivanovich 3 Weinelt, Wilfried 2 Antonyuk, Oleksandra Viktorivna 2 Drozd, Yuriĭ Anatoliĭovych 2 Dzhuraev, I. N. 2 Guminskaya, N. A. 2 Kashpur, E. F. 2 Kashpur, Olena 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 Ronto, M. I. 2 Rossokhatyĭ, V. K. 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 Stanzhyts’ky, O. M. 2 Timokha, Alexander N. 2 Ukhanev, O. L. 2 Vasylyk, V. V. 2 Vinokur, V. V. 2 Voitsekhovskii, Sergii A. 2 Yanovich, Leonid Aleksandrovich 1 Anisimov, Anatoly V. 1 Antsyz, S. M. 1 Arov, Damir Zyamovich 1 Babenko, Christina 1 Babenko, K. Ye. 1 Bakhtizin, A. R. 1 Bandurskii, B. I. 1 Bandyrs’kyj, B. J. 1 Bohonova, T. Yu. ...and 86 more Co-Authors all top 5 Serials 36 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 30 Vychislitel’naya i Prikladnaya Matematika 29 Differential Equations 23 Ukrainian Mathematical Journal 23 Computational Methods in Applied Mathematics 12 Differentsial’nye Uravneniya 12 Soviet Mathematics. Doklady 12 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 12 Journal of Mathematical Sciences (New York) 11 Ukraïns’kyĭ Matematychnyĭ Zhurnal 11 U.S.S.R. Computational Mathematics and Mathematical Physics 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 Numerical Functional Analysis and Optimization 5 Russian Academy of Sciences. Doklady. Mathematics 5 Matematychni Metody ta Fizyko-Mekhanichni Polya 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 Prikladnaya Matematika i Mekhanika 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 2 Applied Mathematics, Informatics and Mechanics 1 IMA Journal of Numerical Analysis 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Uspekhi Matematicheskikh Nauk [N. S.] 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 Optimizatsiya 1 Doklady Mathematics 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Lobachevskii Journal of Mathematics 1 Trudy Instituta Matematiki 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 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 Optimizacija 1 Frontiers in Mathematics all top 5 Fields 272 Numerical analysis (65-XX) 138 Partial differential equations (35-XX) 126 Ordinary differential equations (34-XX) 40 Approximations and expansions (41-XX) 26 Operator theory (47-XX) 13 History and biography (01-XX) 13 Special functions (33-XX) 13 Integral equations (45-XX) 11 Potential theory (31-XX) 10 Mechanics of deformable solids (74-XX) 8 Fluid mechanics (76-XX) 7 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 6 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Sequences, series, summability (40-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-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 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 411 times in 226 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. 22 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 Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056Gavrilyuk, I.; Makarov, V. 13 2001 On apriori estimates of difference schemes giving an account of the boundary effect. Zbl 0673.65045Makarov, V. 13 1989 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 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 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 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 Eigenvalue problem for the second order differential equation with nonlocal conditions. Zbl 1112.65071Bandyrskii, B.; Lazurchak, I.; Makarov, V.; Sapagovas, M. 9 2006 FD-method: the exponential rate of convergence. Zbl 0985.65054Makarov, V. L. 8 1997 Accuracy estimates of difference schemes for quasi-linear elliptic equations with variable coefficients taking into account boundary effect. Zbl 1118.65378Makarov, Volodymyr; Demkiv, Lyubomyr 7 2005 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 Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V. 7 2011 Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084Gavrilyuk, Ivan P.; Makarov, Vladimir L. 6 1999 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. 6 1995 Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii 6 2011 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 Strongly positive operators and numerical algorithms without accuracy saturation. (Сильно позитивные операторы и численные алгоритмы без насыщения точности.) Zbl 1150.65300Gavrilyuk, I. P.; Makarov, V. L. 6 2004 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 Exponentially convergent parallel discretization method for the first order evolution equation. Zbl 1066.65063Makarov, V. L.; Gavrilyuk, I. P. 5 2000 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 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 The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078Makarov, Volodymyr; Mayko, Nataliya 4 2019 Theory of gyroscopic systems with non-conservative forces. Zbl 1051.70504Koshlyakov, V. N.; Makarov, V. L. 4 2001 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 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 Approximation of the Urysohn operator by operator polynomials of Stancu type. Zbl 1263.41015Makarov, V. L.; Demkiv, I. I. 4 2012 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 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 FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0970.65089Makarov, V. L.; Ukhanev, O. L. 4 1997 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 On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057Gavrilyuk, I.; Makarov, V.; Chapko, R. 4 1999 Fakes states, attack using detector efficiency mismatch on SARG04, phase-time, DPSK, and Ekert protocol. Zbl 1154.81321Makarov, V.; Skaar, J. 4 2008 Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. Zbl 0939.65085Gavrilyuk, Ivan P.; Makarov, Vladimir L. 4 1999 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 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. 4 2003 Interpolating integral continued fraction of Thiele type. Zbl 1349.40009Makarov, V. L.; Demkiv, I. I. 4 2014 New properties of the FD-method in its applications to the Sturm-Liouville problems. Zbl 1313.65198Makarov, V. L.; Romanyuk, N. M. 4 2014 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 Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia 4 2018 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 Interpolational integral continued fractions. Zbl 1072.65012Makarov, V. L.; Khlobystov, V. V.; Mykhal’chuk, B. R. 3 2003 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 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 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 Spline approximation of functions. Textbook. (Splajn-approksimatsiya funktsij. Uchebnoe posobie). Zbl 0561.41001Makarov, V. L.; Khlobystov, V. V. 3 1983 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 Exact and approximate solutions of some operator equations based on the Cayley transform. Zbl 0938.47013Gavrilyuk, Ivan P.; Makarov, Vladimir L. 3 1998 Meixner polynomials and their properties. Zbl 1438.33016Makarov, V. L. 3 2019 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 Boundary effect in accuracy estimate of the grid method for solving fractional differential equations. Zbl 1483.65171Makarov, V. L.; Mayko, N. V. 2 2019 Weighted estimates for boundary value problems with fractional derivatives. Zbl 1451.65171Gavrilyuk, Ivan P.; Makarov, Volodymyr L.; Mayko, Nataliya V. 2 2020 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 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. 2 2007 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 Functional-discrete method for eigenvalue transmission problem with periodic boundary conditions. Zbl 1082.34027Makarov, V. L.; Rossokhata, N. O.; Bandyrskiĭ, B. Ĭ. 2 2005 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 Solution of a singularly perturbed nonstationary fourth-order boundary-value problem. Zbl 0838.65091Makarov, V. L.; Guminskij, V. V. 2 1994 A numerical-analytic method for solving the Cauchy problem for ordinary differential equations. Zbl 1284.65085Makarov, Volodymyr; Dragunov, Denys 2 2011 Construction of special solutions of resonance differential equations. Zbl 0406.35059Makarov, V. L.; Arazmyradov, T. 2 1978 Taking into account the third kind conditions in weight estimates for difference schemes. Zbl 1142.65376Makarov, Volodymyr L.; Demkiv, Lyubomyr I. 2 2006 Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V. 2 2006 The functional discrete method of solving the eigenvalue problems for nonlinear differential equations. Zbl 1164.65448Makarov, V. L. 2 2008 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 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 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 Structural analysis of one class of dynamical systems. Zbl 1074.70531Koshlyakov, V. N.; 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 Interpolation operators. (Interpolirovanie operatorov.) Zbl 0956.47007Makarov, V. L.; Khlobystov, V. V.; Yanovich, L. A. 2 2000 An algorithm for constructing completely conservative difference schemes. Zbl 0517.65065Kuz’min, A. V.; Makarov, V. L. 2 1982 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 Polynomial interpolation of operators in Hilbert spaces. Zbl 0797.41002Makarov, V. L.; Khlobystov, V. V. 2 1992 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 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 Existence of the solution to a nonlocal-in-time evolutional problem. Zbl 1336.35205Makarov, Volodymyr; Sytnyk, Dmytro; Vasylyk, Vitalii 1 2014 The generalized Hermite polynomials, their properties, and the differential equation which they satisfy. Zbl 1463.33024Makarov, V. L. 1 2020 Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential. Zbl 1412.65059Makarov, Volodymyr; Romaniuk, Nataliia 1 2018 Abstract interpolation by continued Thiele-type fractions. Zbl 06861252Makarov, V. L.; Demkiv, I. I. 1 2018 Exponentially convergent methods of parallel discretization for the first order evolution equations. Zbl 0995.65104Makarov, V. L.; Gavrylyuk, I. P. 1 2002 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 Polynomial interpolation of operators. Zbl 0929.41003Makarov, V. L.; Khlobystov, V. V. 1 1995 Polynomial interpolation of operators. Zbl 0909.41004Makarov, V. L.; Khlobystov, V. V. 1 1994 The accuracy of approximation of the operator exponent. Zbl 1026.34067Makarov, Volodymyr L.; Majko, Nataliya V.; Ryabichev, Vyacheslav 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 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 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 The (FD) method for first-order linear hyperbolic differential equations with piecewise smooth coefficients. Zbl 0839.65099Makarov, V. L.; Vinokur, V. V. 1 1993 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 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 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 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. 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 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 Stability of nonconservative systems with degenerate matrices of dissipative forces. Zbl 1122.70340Koshlyakov, V. N.; Makarov, V. L. 1 2004 Methods of operator interpolation. Zbl 1240.41001Makarov, Volodymyr L.; Khlobystov, Volodymyr V.; Yanovich, Leonid A. 1 2010 Weighted estimates for boundary value problems with fractional derivatives. Zbl 1451.65171Gavrilyuk, Ivan P.; Makarov, Volodymyr L.; Mayko, Nataliya V. 2 2020 The generalized Hermite polynomials, their properties, and the differential equation which they satisfy. Zbl 1463.33024Makarov, V. L. 1 2020 The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078Makarov, Volodymyr; Mayko, Nataliya 4 2019 Meixner polynomials and their properties. Zbl 1438.33016Makarov, V. L. 3 2019 Boundary effect in accuracy estimate of the grid method for solving fractional differential equations. Zbl 1483.65171Makarov, V. L.; Mayko, N. V. 2 2019 Resonant equations with classical orthogonal polynomials. II. Zbl 1441.34049Gavrilyuk, I.; Makarov, 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 Abstract interpolation by continued Thiele-type fractions. Zbl 06861252Makarov, V. L.; Demkiv, I. I. 1 2018 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 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 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 Interpolating integral continued fraction of Thiele type. Zbl 1349.40009Makarov, V. L.; Demkiv, I. I. 4 2014 New properties of the FD-method in its applications to the Sturm-Liouville problems. Zbl 1313.65198Makarov, V. L.; Romanyuk, N. M. 4 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 Existence of the solution to a nonlocal-in-time evolutional problem. Zbl 1336.35205Makarov, Volodymyr; Sytnyk, Dmytro; Vasylyk, Vitalii 1 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 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. 1 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. 4 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 6 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 Relation between interpolating integral continued fractions and interpolating branching continued fractions. Zbl 1288.40004Makarov, V. L.; Demkiv, I. I. 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 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 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 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 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 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. 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 Taking into account the third kind conditions in weight estimates for difference schemes. Zbl 1142.65376Makarov, Volodymyr L.; Demkiv, Lyubomyr I. 2 2006 Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V. 2 2006 Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces. Zbl 1116.65063Gavrilyuk, I. P.; Makarov, V. L. 22 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 7 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. (Сильно позитивные операторы и численные алгоритмы без насыщения точности.) Zbl 1150.65300Gavrilyuk, I. P.; Makarov, V. L. 6 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 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 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 Stability of nonconservative systems with degenerate matrices of dissipative forces. Zbl 1122.70340Koshlyakov, V. N.; Makarov, V. L. 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 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. 4 2003 Interpolational integral continued fractions. Zbl 1072.65012Makarov, V. L.; Khlobystov, V. V.; Mykhal’chuk, B. R. 3 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 Exponentially convergent methods of parallel discretization for the first order evolution equations. Zbl 0995.65104Makarov, V. L.; Gavrylyuk, I. P. 1 2002 The accuracy of approximation of the operator exponent. Zbl 1026.34067Makarov, Volodymyr L.; Majko, Nataliya V.; Ryabichev, Vyacheslav 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 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 Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056Gavrilyuk, I.; Makarov, V. 13 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. 5 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 Structural analysis of one class of dynamical systems. Zbl 1074.70531Koshlyakov, V. N.; 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 Interpolation operators. (Interpolirovanie operatorov.) Zbl 0956.47007Makarov, V. L.; Khlobystov, V. V.; Yanovich, L. A. 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 Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084Gavrilyuk, Ivan P.; Makarov, Vladimir L. 6 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 On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057Gavrilyuk, I.; Makarov, V.; Chapko, R. 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. 4 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. (Osnovy teorii polinomial’ nogo operatornogo interpolirovaniya.) 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. 4 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. 6 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 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 Solution of a singularly perturbed nonstationary fourth-order boundary-value problem. Zbl 0838.65091Makarov, V. L.; Guminskij, V. V. 2 1994 Polynomial interpolation of operators. Zbl 0909.41004Makarov, V. L.; Khlobystov, V. V. 1 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 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 267 Authors 57 Makarov, Volodymyr Leonidovych 29 Gavrilyuk, Ivan P. 13 Mayko, Nataliya Valentynivna 12 Ashyralyev, Allaberen 9 Kutniv, Myroslav V. 7 Sapagovas, Mifodijus 6 Chapko, Roman 5 Berikelashvili, Givi 5 Demkiv, I. I. 5 Dragunov, Denys V. 5 Khlobystov, Volodymyr Volodymyrovych 5 Romanyuk, Nataliia Mykolaivna 4 Jovanović, Boško S. 4 Khoromskiĭ, Boris Nikolaevich 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 Karsli, Harun 3 Koshlyakov, Vladimir Nikolaevich 3 Lapinska-Chrzczonowicz, Magdalena 3 López-Fernández, María 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 Guglielmi, Nicola 2 Gulin, Alexei V. 2 Guminskij, V. V. 2 Hackbusch, Wolfgang 2 Kemmochi, Tomoya 2 Klunnik, A. A. 2 Koksal, Mehmet Emir 2 Kunynets’, A. V. 2 Lukovsky, Ivan Oleksandrovych 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 Abdalla, Mohamed 1 Abo-Hammour, Za’er S. 1 Aceto, Lidia 1 Agafonov, S. A. 1 Agarwal, Ravi P. 1 Aggez, Necmettin 1 Alharbi, Asma Olyan M. 1 Alléaume, Romain 1 Alyoubi, Ahmad 1 Arqub, Omar Abu 1 Avalishvili, Mariam 1 Ayton, Lorna J. 1 Babenko, Christina 1 Baranetskyĭ, Yaroslav Omelyanovich 1 Barbeiro, Sílvia 1 Barker, Andrew T. 1 Belov, Yurij A. 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 Boulaaras, Salah Mahmoud 1 Branciard, Cyril 1 Burkhanov, Sh. A. 1 Cerfon, Antoine J. 1 Chaĭkovs’kyĭ, Andriĭ Volodymyrovych 1 Chanane, Bilal 1 Che, YaLiang 1 Cherif, Bahri Belkacem 1 Choucha, Abdelbaki 1 Čiegis, Raimondas 1 Čiupaila, Regimantas ...and 167 more Authors all top 5 Cited in 77 Serials 19 Cybernetics and Systems Analysis 14 Ukrainian Mathematical Journal 14 Journal of Mathematical Sciences (New York) 11 Computational Methods in Applied Mathematics 10 Journal of Computational and Applied Mathematics 9 Mathematics of Computation 9 Applied Numerical Mathematics 8 Applied Mathematics and Computation 8 Differential Equations 7 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 SIAM Journal on Numerical Analysis 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 Computational Physics 2 Journal of Engineering Mathematics 2 Results in Mathematics 2 Cybernetics 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 International Applied Mechanics 2 Georgian Mathematical Journal 2 Matematychni Studiï 2 Discrete Dynamics in Nature and Society 2 M2AN. 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