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## Makarov, Volodymyr Leonidovich

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 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
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#### 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
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#### 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
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#### 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)

#### 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 1116.65063
Gavrilyuk, I. P.; Makarov, V. L.
2005
Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach spaces. Zbl 0849.65040
Gavrilyuk, I. P.; Makarov, V. L.
1996
Application of exact difference schemes for construction and investigation of difference schemes for generalized solutions. Zbl 0494.65055
Lazarov, R. D.; Makarov, V. L.; Samarskij, A. A.
1982
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
2001
Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces. Zbl 1002.65101
Samarskii, Alexander A.; Gavrilyuk, Ivan P.; Makarov, Vladimir L.
2001
On apriori estimates of difference schemes giving an account of the boundary effect. Zbl 0673.65045
Makarov, V.
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 0802.47049
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
1994
Eigenvalue problem for the second order differential equation with nonlocal conditions. Zbl 1112.65071
Bandyrskii, B.; Lazurchak, I.; Makarov, V.; Sapagovas, M.
2006
Solution of a boundary-value problem for a quasilinear parabolic equation with a nonclassical boundary condition. Zbl 0573.35048
Makarov, V. L.; Kulyev, D. T.
1985
FD-method: the exponential rate of convergence. Zbl 0985.65054
Makarov, V. L.
1997
Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066
Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V.
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 0525.65069
Lazarov, Rajčo D.; Makarov, Vladimir L.; Weinelt, Wilfried
1984
Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives. Zbl 1352.65201
Demkiv, Ihor; Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
2016
Exponentially convergent parallel algorithm for nonlinear eigenvalue problems. Zbl 1130.65078
Gavrilyuk, I. P.; Klimenko, A. V.; Makarov, V. L.; Rossokhata, N. O.
2007
Accuracy estimates of difference schemes for quasi-linear elliptic equations with variable coefficients taking into account boundary effect. Zbl 1118.65378
Makarov, Volodymyr; Demkiv, Lyubomyr
2005
Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
1999
Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001
Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii
2011
Weight uniform accuracy estimates of finite difference method for Poisson equation, taking into account boundary effect. Zbl 1233.65078
Makarov, V. L.; Demkiv, L. I.
2009
Functional-discrete method (FD-method) for matrix Sturm-Liouville problems. Zbl 1088.65074
Bandyrskii, B. Ĭ.; Gavrilyuk, I. P.; Lazurchak, I. I.; Makarov, V. L.
2005
Strongly positive operators and numerical algorithms without accuracy saturation. Zbl 1150.65300
Gavrilyuk, I. P.; Makarov, V. L.
2004
FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0970.65089
Makarov, V. L.; Ukhanev, O. L.
1997
Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform. Zbl 0828.34045
Arov, D. Z.; Gavrilyuk, I. P.; Makarov, V. L.
1995
Stability and convergence in the $$C$$-norm of difference schemes for a parabolic equation with a nonlocal boundary condition. Zbl 1189.65207
Ionkin, N. I.; Makarov, V. L.; Furletov, D. G.
1992
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216
Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia
2018
New properties of the FD-method in its applications to the Sturm-Liouville problems. Zbl 1313.65198
Makarov, V. L.; Romanyuk, N. M.
2014
Fakes states, attack using detector efficiency mismatch on SARG04, phase-time, DPSK, and Ekert protocol. Zbl 1154.81321
Makarov, V.; Skaar, J.
2008
Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers. Zbl 1139.65057
Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L.
2006
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Zbl 1066.65061
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
2005
A two-point difference scheme of an arbitrary order of accuracy for BVPs for systems of first order nonlinear ODEs. Zbl 1068.65102
Makarov, V. L.; Gavrilyuk, I. P.; Kutniv, M. V.; Hermann, M.
2004
Estimates of the accuracy of difference schemes for parabolic equations taking into account the initial-boundary effect. Zbl 1024.65085
Makarov, V. L.; Demkiv, L. I.
2003
Theory of gyroscopic systems with non-conservative forces. Zbl 1051.70504
Koshlyakov, V. N.; Makarov, V. L.
2001
Exponentially convergent parallel discretization method for the first order evolution equation. Zbl 1066.65063
Makarov, V. L.; Gavrilyuk, I. P.
2000
On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057
Gavrilyuk, I.; Makarov, V.; Chapko, R.
1999
Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation. Zbl 0970.65085
Kutniv, M. V.; Makarov, V. L.; Samarskii, A. A.
1999
Estimates of the rate of convergence of difference schemes for fourth- order elliptic equations. Zbl 0541.65064
Gavrilyuk, I. P.; Lazarov, R. D.; Makarov, V. L.; Pirnazarov, S. P.
1983
Convergence of a difference method and the method of lines for multidimensional problems of mathematical physics in classes of generalized solutions. Zbl 0485.65069
Lazarov, R. D.; Makarov, V. L.
1981
On exact difference schemes for the ordinary differential fourth-order equation. Zbl 0413.34019
Burkhanov, Sh.; Gutmins’ka, N. O.; Makarov, V. L.; Prikazchikov, V. G.
1978
Interpolating integral continued fraction of Thiele type. Zbl 1349.40009
Makarov, V. L.; Demkiv, I. I.
2014
The FD-method for solving Sturm-Liouville problems with special singular differential operator. Zbl 1262.65089
Makarov, V. L.; Dragunov, D. V.; Klimenko, Ya. V.
2013
Approximation of the Urysohn operator by operator polynomials of Stancu type. Zbl 1263.41015
Makarov, V. L.; Demkiv, I. I.
2012
Adaptive algorithms based on exact difference schemes for nonlinear BVPs on the half-axis. Zbl 1162.65371
Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L.
2009
A method with a controllable exponential convergence rate for nonlinear differential operator equations. Zbl 1170.65039
Gavrilyuk, I. P.; Makarov, V. L.; Lazurchak, I. I.; Sytnyk, D.
2009
Application of the FD-method to the solution of the Sturm-Liouville problem with coefficients of special form. Zbl 1150.65019
Makarov, V. L.; Klymenko, Ya. V.
2007
Difference schemes for nonlinear BVPs on the semiaxis. Zbl 1149.65061
Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L.
2007
Evolutional problems of the contained fluid. With a foreword by Martin Hermann. Zbl 1150.76001
Gavrilyuk, Ivan P.; Lukovsky, Ivan A.; Makarov, Vladimir L.; Timokha, Alexander N.
2006
Interpolational integral continued fractions. Zbl 1072.65012
Makarov, V. L.; Khlobystov, V. V.; Mykhal’chuk, B. R.
2003
Integral equations of the linear sloshing in an infinite chute and their discretization. Zbl 1029.76004
Gavrilyuk, Ivan P.; Kulyk, Anatoli B.; Makarov, Vladimir L.
2001
Exact and approximate solutions of some operator equations based on the Cayley transform. Zbl 0938.47013
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
1998
An estimate of the accuracy of the method of summarized approximation of the solution of the abstract Cauchy problem. Zbl 0601.65047
Kuzyk, A. M.; Makarov, V. L.
1984
Spline approximation of functions. Textbook. (Splajn-approksimatsiya funktsij. Uchebnoe posobie). Zbl 0561.41001
Makarov, V. L.; Khlobystov, V. V.
1983
The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078
Makarov, Volodymyr; Mayko, Nataliya
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 1340.65106
Makarov, V. L.; Romanyuk, N. M.
2015
FD-method for eigenvalue problem with multiple eigenvalues of the basic problem. Zbl 1340.65107
Makarov, V. L.; Romanyuk, N. M.; Lazurchak, I. I.
2014
A numerical-analytic method for solving the Cauchy problem for ordinary differential equations. Zbl 1284.65085
Makarov, Volodymyr; Dragunov, Denys
2011
Exponentially convergent method for the $$m$$-point nonlocal problem for a first order differential equation in Banach space. Zbl 1193.65080
Gavrilyuk, I. P.; Makarov, V. L.; Sytnyk, D. O.; Vasylyk, V. B.
2010
The functional discrete method for the approximate solution of the Cauchy problem on the infinite interval. Zbl 1199.65233
Makarov, V. L.; Dragunov, D. V.
2010
The functional discrete method of solving the eigenvalue problems for nonlinear differential equations. Zbl 1164.65448
Makarov, V. L.
2008
On continual knots of the interpolation of formulas of the Newton and Hermite types in linear topological spaces. Zbl 1150.41310
Makarov, V. L.; Khlobystov, V. V.; Demkiv, I. I.
2007
Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078
Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V.
2006
Functional-discrete method for eigenvalue transmission problem with periodic boundary conditions. Zbl 1082.34027
Makarov, V. L.; Rossokhata, N. O.; Bandyrskiĭ, B. Ĭ.
2005
Accuracy estimates of difference schemes for quasi-linear parabolic equations taking into account the initial-boundary effect. Zbl 1038.65086
Makarov, V. L.; Demkiv, L. I.
2003
Sufficient conditions for the eigenvalues of the operator $$-d^2/dx^2+q(x)$$ under the Ionkin-Samarskii conditions. Zbl 1011.34015
Bandyrskii, B. I.; Makarov, V. L.
2000
FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0977.65070
Bandyrs’kyj, B. J.; Makarov, V. L.; Ukhan’ov, O. L.
2000
Structural analysis of one class of dynamical systems. Zbl 1074.70531
Koshlyakov, V. N.; Makarov, V. L.
2000
Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. Zbl 0939.65085
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
1999
Polynomial interpolation of operators. Zbl 0909.41004
Makarov, V. L.; Khlobystov, V. V.
1994
Solution of a singularly perturbed nonstationary fourth-order boundary-value problem. Zbl 0838.65091
Makarov, V. L.; Guminskij, V. V.
1994
Increasing the accuracy of approximations of polynomial operators in Hilbert spaces by the interpolation method. Zbl 0843.47008
Makarov, V. L.; Khlobystov, V. V.
1994
Polynomial interpolation of operators in Hilbert spaces. Zbl 0797.41002
Makarov, V. L.; Khlobystov, V. V.
1992
Exact three-point difference schemes for nonlinear ordinary differential equations of second order, and their realization. Zbl 0717.65053
Makarov, V. L.; Samarskij, A. A.
1990
An interpolation method for solving the identification problem for a functional system described by the Urysohn operator. Zbl 0672.93019
Makarov, V. L.; Khlobystov, V. V.
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 0541.65062
Gavrilyuk, I. P.; Makarov, V. L.; Pirnazarov, S. P.
1983
An algorithm for constructing completely conservative difference schemes. Zbl 0517.65065
Kuz’min, A. V.; Makarov, V. L.
1982
Ein exaktes Differenzenschema und abgeschnittene Differenzenschemata für eine gewisse Klasse Sturm-Liouvillescher Probleme mit Entartung. Zbl 0438.65071
Makarov, V. L.; Gavrilyuk, I. P.; Luzhnykh, V. M.
1980
Construction of special solutions of resonance differential equations. Zbl 0406.35059
1978
Meixner polynomials and their properties. Zbl 1438.33016
Makarov, V. L.
2019
Boundary effect in accuracy estimate of the grid method for solving fractional differential equations. Zbl 07096967
Makarov, V. L.; Mayko, N. V.
2019
Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential. Zbl 1412.65059
Makarov, Volodymyr; Romaniuk, Nataliia
2018
Exact solutions of a spectral problem for the Schrödinger differential operator with polynomial potential in $$\mathbb R^2$$. Zbl 1374.65190
Makarov, V. L.
2017
Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ordinary differential equations. Zbl 1361.65033
Gavrilyuk, I. P.; Makarov, V. L.; Romanyuk, N. M.
2017
An integral interpolation chain fraction of the Thiele type. Zbl 1363.41005
Makarov, V. L.; Demkiv, I. I.
2016
The FD-method in spectral problems for the Schrödinger operator with polynomial potential on $$(-\infty,\infty)$$. Zbl 1340.65260
Makarov, V. L.
2015
FD-method for solving the nonlinear Klein-Gordon equation. Zbl 1277.65072
Makarov, V. L.; Dragunov, D. V.; Sember, D. A.
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 1284.65091
Makarov, Volodymyr; Rossokhata, Nataliia; Dragunov, Denys
2012
Methods of operator interpolation. Zbl 1240.41001
Makarov, Volodymyr L.; Khlobystov, Volodymyr V.; Yanovich, Leonid A.
2010
Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations. Zbl 1178.65089
Gnativ, L. B.; Kutniv, M. V.; Makarov, V. L.
2009
Exponentially convergent Duhamel-like algorithms for differential equations with an operator coefficient possessing a variable domain in a Banach space. Zbl 1160.65020
Bohonova, T. Yu.; Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V.
2008
FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions. Zbl 1268.34041
Makarov, V. L.; Rossokhata, N. O.
2007
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Zbl 1126.65118
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
2007
Taking into account the third kind conditions in weight estimates for difference schemes. Zbl 1142.65376
Makarov, Volodymyr L.; Demkiv, Lyubomyr I.
2006
Stability of nonconservative systems with degenerate matrices of dissipative forces. Zbl 1122.70340
Koshlyakov, V. N.; Makarov, V. L.
2004
Functional-discrete method with a high order of accuracy for the eigenvalue transmission problem. Zbl 1064.34073
Makarov, V. L.; Rossokhata, N. O.; Bandurskii, B. I.
2004
A new estimate of the sinc method for linear parabolic problems including the initial point. Zbl 1069.65100
Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Vasylyk, Vitaliy
2004
Nonclassical asymptotic formulas and approximation with an arbitrary order of accuracy of eigenvalues of the Sturm-Liouville problem with Bitsadze-Samarskii conditions. Zbl 1071.34027
Makarov, V. L.; Lazurchak, I. I.; Bandyrskii, B. I.
2003
Necessary and sufficient conditions for the existence of a functional interpolational polynomial on the continuum set of knots. Zbl 1036.41002
Makarov, V. L.; Demkiv, I. I.; Mykhal’chuk, B. R.
2003
A parallel method of high accuracy for the first order evolution equation in Hilbert and Banach spaces. Zbl 1047.65034
Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Ryabichev, Vyacheslav L.
2003
Unimprovable order-of-magnitude estimates of the rate of convergence of the Cayley transform method for approximation of an operator exponent. Zbl 1033.34063
Makarov, V. L.; Vasilik, V. B.; Ryabichev, V. L.
2002
Unimprovable accuracy estimates of the Cayley transformation method for calculating the operator cosine function. Zbl 1024.65042
Makarov, V. L.; Ryabichev, V. L.
2002
The accuracy of approximation of the operator exponent. Zbl 1026.34067
Makarov, Volodymyr L.; Majko, Nataliya V.; Ryabichev, Vyacheslav L.
2002
Exponentially convergent methods of parallel discretization for the first order evolution equations. Zbl 0995.65104
Makarov, V. L.; Gavrylyuk, I. P.
2002
The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078
Makarov, Volodymyr; Mayko, Nataliya
2019
Meixner polynomials and their properties. Zbl 1438.33016
Makarov, V. L.
2019
Boundary effect in accuracy estimate of the grid method for solving fractional differential equations. Zbl 07096967
Makarov, V. L.; Mayko, N. V.
2019
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216
Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia
2018
Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential. Zbl 1412.65059
Makarov, Volodymyr; Romaniuk, Nataliia
2018
Exact solutions of a spectral problem for the Schrödinger differential operator with polynomial potential in $$\mathbb R^2$$. Zbl 1374.65190
Makarov, V. L.
2017
Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ordinary differential equations. Zbl 1361.65033
Gavrilyuk, I. P.; Makarov, V. L.; Romanyuk, N. M.
2017
Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives. Zbl 1352.65201
Demkiv, Ihor; Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
2016
An integral interpolation chain fraction of the Thiele type. Zbl 1363.41005
Makarov, V. L.; Demkiv, I. I.
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 1340.65106
Makarov, V. L.; Romanyuk, N. M.
2015
The FD-method in spectral problems for the Schrödinger operator with polynomial potential on $$(-\infty,\infty)$$. Zbl 1340.65260
Makarov, V. L.
2015
New properties of the FD-method in its applications to the Sturm-Liouville problems. Zbl 1313.65198
Makarov, V. L.; Romanyuk, N. M.
2014
Interpolating integral continued fraction of Thiele type. Zbl 1349.40009
Makarov, V. L.; Demkiv, I. I.
2014
FD-method for eigenvalue problem with multiple eigenvalues of the basic problem. Zbl 1340.65107
Makarov, V. L.; Romanyuk, N. M.; Lazurchak, I. I.
2014
The FD-method for solving Sturm-Liouville problems with special singular differential operator. Zbl 1262.65089
Makarov, V. L.; Dragunov, D. V.; Klimenko, Ya. V.
2013
FD-method for solving the nonlinear Klein-Gordon equation. Zbl 1277.65072
Makarov, V. L.; Dragunov, D. V.; Sember, D. A.
2013
Approximation of the Urysohn operator by operator polynomials of Stancu type. Zbl 1263.41015
Makarov, V. L.; Demkiv, I. I.
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 1284.65091
Makarov, Volodymyr; Rossokhata, Nataliia; Dragunov, Denys
2012
Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066
Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V.
2011
Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001
Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii
2011
A numerical-analytic method for solving the Cauchy problem for ordinary differential equations. Zbl 1284.65085
Makarov, Volodymyr; Dragunov, Denys
2011
Exponentially convergent method for the $$m$$-point nonlocal problem for a first order differential equation in Banach space. Zbl 1193.65080
Gavrilyuk, I. P.; Makarov, V. L.; Sytnyk, D. O.; Vasylyk, V. B.
2010
The functional discrete method for the approximate solution of the Cauchy problem on the infinite interval. Zbl 1199.65233
Makarov, V. L.; Dragunov, D. V.
2010
Methods of operator interpolation. Zbl 1240.41001
Makarov, Volodymyr L.; Khlobystov, Volodymyr V.; Yanovich, Leonid A.
2010
Weight uniform accuracy estimates of finite difference method for Poisson equation, taking into account boundary effect. Zbl 1233.65078
Makarov, V. L.; Demkiv, L. I.
2009
Adaptive algorithms based on exact difference schemes for nonlinear BVPs on the half-axis. Zbl 1162.65371
Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L.
2009
A method with a controllable exponential convergence rate for nonlinear differential operator equations. Zbl 1170.65039
Gavrilyuk, I. P.; Makarov, V. L.; Lazurchak, I. I.; Sytnyk, D.
2009
Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations. Zbl 1178.65089
Gnativ, L. B.; Kutniv, M. V.; Makarov, V. L.
2009
Fakes states, attack using detector efficiency mismatch on SARG04, phase-time, DPSK, and Ekert protocol. Zbl 1154.81321
Makarov, V.; Skaar, J.
2008
The functional discrete method of solving the eigenvalue problems for nonlinear differential equations. Zbl 1164.65448
Makarov, V. L.
2008
Exponentially convergent Duhamel-like algorithms for differential equations with an operator coefficient possessing a variable domain in a Banach space. Zbl 1160.65020
Bohonova, T. Yu.; Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V.
2008
Exponentially convergent parallel algorithm for nonlinear eigenvalue problems. Zbl 1130.65078
Gavrilyuk, I. P.; Klimenko, A. V.; Makarov, V. L.; Rossokhata, N. O.
2007
Application of the FD-method to the solution of the Sturm-Liouville problem with coefficients of special form. Zbl 1150.65019
Makarov, V. L.; Klymenko, Ya. V.
2007
Difference schemes for nonlinear BVPs on the semiaxis. Zbl 1149.65061
Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L.
2007
On continual knots of the interpolation of formulas of the Newton and Hermite types in linear topological spaces. Zbl 1150.41310
Makarov, V. L.; Khlobystov, V. V.; Demkiv, I. I.
2007
FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions. Zbl 1268.34041
Makarov, V. L.; Rossokhata, N. O.
2007
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Zbl 1126.65118
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
2007
Eigenvalue problem for the second order differential equation with nonlocal conditions. Zbl 1112.65071
Bandyrskii, B.; Lazurchak, I.; Makarov, V.; Sapagovas, M.
2006
Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers. Zbl 1139.65057
Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L.
2006
Evolutional problems of the contained fluid. With a foreword by Martin Hermann. Zbl 1150.76001
Gavrilyuk, Ivan P.; Lukovsky, Ivan A.; Makarov, Vladimir L.; Timokha, Alexander N.
2006
Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078
Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V.
2006
Taking into account the third kind conditions in weight estimates for difference schemes. Zbl 1142.65376
Makarov, Volodymyr L.; Demkiv, Lyubomyr I.
2006
Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces. Zbl 1116.65063
Gavrilyuk, I. P.; Makarov, V. L.
2005
Accuracy estimates of difference schemes for quasi-linear elliptic equations with variable coefficients taking into account boundary effect. Zbl 1118.65378
Makarov, Volodymyr; Demkiv, Lyubomyr
2005
Functional-discrete method (FD-method) for matrix Sturm-Liouville problems. Zbl 1088.65074
Bandyrskii, B. Ĭ.; Gavrilyuk, I. P.; Lazurchak, I. I.; Makarov, V. L.
2005
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Zbl 1066.65061
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
2005
Functional-discrete method for eigenvalue transmission problem with periodic boundary conditions. Zbl 1082.34027
Makarov, V. L.; Rossokhata, N. O.; Bandyrskiĭ, B. Ĭ.
2005
Strongly positive operators and numerical algorithms without accuracy saturation. Zbl 1150.65300
Gavrilyuk, I. P.; Makarov, V. L.
2004
A two-point difference scheme of an arbitrary order of accuracy for BVPs for systems of first order nonlinear ODEs. Zbl 1068.65102
Makarov, V. L.; Gavrilyuk, I. P.; Kutniv, M. V.; Hermann, M.
2004
Stability of nonconservative systems with degenerate matrices of dissipative forces. Zbl 1122.70340
Koshlyakov, V. N.; Makarov, V. L.
2004
Functional-discrete method with a high order of accuracy for the eigenvalue transmission problem. Zbl 1064.34073
Makarov, V. L.; Rossokhata, N. O.; Bandurskii, B. I.
2004
A new estimate of the sinc method for linear parabolic problems including the initial point. Zbl 1069.65100
Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Vasylyk, Vitaliy
2004
Estimates of the accuracy of difference schemes for parabolic equations taking into account the initial-boundary effect. Zbl 1024.65085
Makarov, V. L.; Demkiv, L. I.
2003
Interpolational integral continued fractions. Zbl 1072.65012
Makarov, V. L.; Khlobystov, V. V.; Mykhal’chuk, B. R.
2003
Accuracy estimates of difference schemes for quasi-linear parabolic equations taking into account the initial-boundary effect. Zbl 1038.65086
Makarov, V. L.; Demkiv, L. I.
2003
Nonclassical asymptotic formulas and approximation with an arbitrary order of accuracy of eigenvalues of the Sturm-Liouville problem with Bitsadze-Samarskii conditions. Zbl 1071.34027
Makarov, V. L.; Lazurchak, I. I.; Bandyrskii, B. I.
2003
Necessary and sufficient conditions for the existence of a functional interpolational polynomial on the continuum set of knots. Zbl 1036.41002
Makarov, V. L.; Demkiv, I. I.; Mykhal’chuk, B. R.
2003
A parallel method of high accuracy for the first order evolution equation in Hilbert and Banach spaces. Zbl 1047.65034
Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Ryabichev, Vyacheslav L.
2003
Unimprovable order-of-magnitude estimates of the rate of convergence of the Cayley transform method for approximation of an operator exponent. Zbl 1033.34063
Makarov, V. L.; Vasilik, V. B.; Ryabichev, V. L.
2002
Unimprovable accuracy estimates of the Cayley transformation method for calculating the operator cosine function. Zbl 1024.65042
Makarov, V. L.; Ryabichev, V. L.
2002
The accuracy of approximation of the operator exponent. Zbl 1026.34067
Makarov, Volodymyr L.; Majko, Nataliya V.; Ryabichev, Vyacheslav L.
2002
Exponentially convergent methods of parallel discretization for the first order evolution equations. Zbl 0995.65104
Makarov, V. L.; Gavrylyuk, I. P.
2002
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
2001
Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces. Zbl 1002.65101
Samarskii, Alexander A.; Gavrilyuk, Ivan P.; Makarov, Vladimir L.
2001
Theory of gyroscopic systems with non-conservative forces. Zbl 1051.70504
Koshlyakov, V. N.; Makarov, V. L.
2001
Integral equations of the linear sloshing in an infinite chute and their discretization. Zbl 1029.76004
Gavrilyuk, Ivan P.; Kulyk, Anatoli B.; Makarov, Vladimir L.
2001
Exponentially convergent parallel discretization method for the first order evolution equation. Zbl 1066.65063
Makarov, V. L.; Gavrilyuk, I. P.
2000
Sufficient conditions for the eigenvalues of the operator $$-d^2/dx^2+q(x)$$ under the Ionkin-Samarskii conditions. Zbl 1011.34015
Bandyrskii, B. I.; Makarov, V. L.
2000
FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0977.65070
Bandyrs’kyj, B. J.; Makarov, V. L.; Ukhan’ov, O. L.
2000
Structural analysis of one class of dynamical systems. Zbl 1074.70531
Koshlyakov, V. N.; Makarov, V. L.
2000
An explicit boundary integral representation of the solution of the two-dimensional heat equation and its discretization. Zbl 0980.65099
Gavrilyuk, I. P.; Makarov, V. L.
2000
Interpolation operators. Zbl 0956.47007
Makarov, V. L.; Khlobystov, V. V.; Yanovich, L. A.
2000
Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
1999
On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057
Gavrilyuk, I.; Makarov, V.; Chapko, R.
1999
Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation. Zbl 0970.65085
Kutniv, M. V.; Makarov, V. L.; Samarskii, A. A.
1999
Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. Zbl 0939.65085
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
1999
Sufficient conditions for the convergence of nonclassical asymptotic expansions for the Sturm-Liouville problem with periodic boundary conditions. Zbl 0947.65094
Bandyrskij, B. I.; Makarov, V. L.; Ukhanev, O. L.
1999
Exact and approximate solutions of some operator equations based on the Cayley transform. Zbl 0938.47013
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
1998
Principles of the theory of polynomial operator interpolation. Zbl 0952.41002
Makarov, V. L.; Khlobystov, V. V.
1998
FD-method: the exponential rate of convergence. Zbl 0985.65054
Makarov, V. L.
1997
FD-method for Sturm-Liouville problems. Exponential rate of convergence. Zbl 0970.65089
Makarov, V. L.; Ukhanev, O. L.
1997
Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach spaces. Zbl 0849.65040
Gavrilyuk, I. P.; Makarov, V. L.
1996
Representation and approximation of solutions of initial value problems for differential equations in Hilbert space based on the Cayley transform. Zbl 0828.34045
Arov, D. Z.; Gavrilyuk, I. P.; Makarov, V. L.
1995
Polynomial interpolation of operators. Zbl 0929.41003
Makarov, V. L.; Khlobystov, V. V.
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 0802.47049
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
1994
Polynomial interpolation of operators. Zbl 0909.41004
Makarov, V. L.; Khlobystov, V. V.
1994
Solution of a singularly perturbed nonstationary fourth-order boundary-value problem. Zbl 0838.65091
Makarov, V. L.; Guminskij, V. V.
1994
Increasing the accuracy of approximations of polynomial operators in Hilbert spaces by the interpolation method. Zbl 0843.47008
Makarov, V. L.; Khlobystov, V. V.
1994
The (FD) method for first-order linear hyperbolic differential equations with piecewise smooth coefficients. Zbl 0839.65099
Makarov, V. L.; Vinokur, V. V.
1993
Polynomial interpolation of operators in vector spaces. Zbl 0817.41010
Makarov, V. L.; Khlobystov, V. V.
1993
Stability and convergence in the $$C$$-norm of difference schemes for a parabolic equation with a nonlocal boundary condition. Zbl 1189.65207
Ionkin, N. I.; Makarov, V. L.; Furletov, D. G.
1992
Polynomial interpolation of operators in Hilbert spaces. Zbl 0797.41002
Makarov, V. L.; Khlobystov, V. V.
1992
Exact three-point difference schemes for nonlinear ordinary differential equations of second order, and their realization. Zbl 0717.65053
Makarov, V. L.; Samarskij, A. A.
1990
On realization of exact three-point difference schemes for second order ordinary differential equations with piecewise smooth coefficients. Zbl 0711.65060
Samarskij, A. A.; Makarov, V. L.
1990
On apriori estimates of difference schemes giving an account of the boundary effect. Zbl 0673.65045
Makarov, V.
1989
An interpolation method for solving the identification problem for a functional system described by the Urysohn operator. Zbl 0672.93019
Makarov, V. L.; Khlobystov, V. V.
1988
Solution of integral equations in fractional Sobolev spaces. Zbl 0726.65156
Makarov, V. L.; Karkarashvili, G. S.
1987
The rate of convergence of a difference scheme using the sum approximation method for generalized solutions. Zbl 0622.65081
Kuzyk, A. M.; Makarov, V. L.
1986
Solution of a boundary-value problem for a quasilinear parabolic equation with a nonclassical boundary condition. Zbl 0573.35048
Makarov, V. L.; Kulyev, D. T.
1985
Grid schemes for integral equations with non-smooth solutions. Zbl 0616.65139
Makarov, V. L.; Karkarashvili, G. S.
1985
...and 24 more Documents
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#### 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
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#### 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. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Studia Mathematica 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 BIT 1 Information Sciences 1 Mathematics and Computers in Simulation 1 Theoretical Computer Science 1 Optimal Control Applications & Methods 1 Zeitschrift für Analysis und ihre Anwendungen 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Computational Mathematics and Modeling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Journal of Computer and Systems Sciences International 1 European Journal of Control 1 Vietnam Journal of Mathematics 1 Matematychni Studiï 1 Engineering Computations 1 Trudy Instituta Matematiki 1 The ANZIAM Journal 1 Journal of Numerical Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 Nonlinear Oscillations 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 S$$\vec{\text{e}}$$MA Journal 1 International Journal of Applied and Computational Mathematics 1 Transactions of A. Razmadze Mathematical Institute
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#### 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)