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Author ID: gavrilyuk.ivan-p Recent zbMATH articles by "Gavrilyuk, Ivan P."
Published as: Gavrilyuk, I. P.; Gavrilyuk, Ivan P.; Gavrilyuk, Ivan; Gavrylyuk, I. P.; Gavrilyuk, I.; Gawrilyuk, I. P.; Gavrilyuk, Ī. P.; Gavrylyuk, I.; Gawriljuk, I.
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Serials

22 Vychislitel’naya i Prikladnaya Matematika
21 Computational Methods in Applied Mathematics
9 Journal of Soviet Mathematics
7 Numerical Functional Analysis and Optimization
6 Ukrainian Mathematical Journal
6 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
5 Differential Equations
4 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
4 Journal of Engineering Mathematics
4 Mathematics of Computation
4 Soviet Mathematics
4 Journal of Mathematical Sciences (New York)
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 SIAM Journal on Numerical Analysis
3 Zeitschrift für Analysis und ihre Anwendungen
3 U.S.S.R. Computational Mathematics and Mathematical Physics
3 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka
2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
2 Ukraïns’kyĭ Matematychnyĭ Zhurnal
2 Fluid Dynamics Research
2 Differentsial’nye Uravneniya
2 Journal of Integral Equations and Applications
2 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Zhurnal Obchyslyuval’noïta Prykladnoï Matematyky
2 Applied Mathematics and Informatics
2 Matematicheskoe Modelirovanie
1 IMA Journal of Numerical Analysis
1 International Journal of Solids and Structures
1 Journal of Mathematical Analysis and Applications
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Soviet Applied Mechanics
1 Computing
1 Numerische Mathematik
1 Soviet Mathematics. Doklady
1 Cybernetics
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 East-West Journal of Numerical Mathematics
1 Doklady Mathematics
1 Visnyk Kyïvs’kogo Universytetu. Matematyka i Mekhanika
1 Engineering Computations
1 Advances in Difference Equations
1 ISNM. International Series of Numerical Mathematics
1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
1 Frontiers in Mathematics

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 493 times in 256 Documents Cited by Year
Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems. Zbl 1071.65032
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
49
2005
Data-sparse approximation to a class of operator-valued functions. Zbl 1066.65060
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
31
2005
Data-sparse approximation to the operator-valued functions of elliptic operator. Zbl 1065.47009
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
30
2004
\(\mathcal H\)-matrix approximation for the operator exponential with applications. Zbl 1005.65113
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
28
2002
Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces. Zbl 1116.65063
Gavrilyuk, I. P.; Makarov, V. L.
23
2005
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
18
2001
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.
15
1996
Sloshing in a vertical circular cylindrical tank with an annular baffle. I: Linear fundamental solutions. Zbl 1101.76008
Gavrilyuk, I.; Lukovsky, I.; Trotsenko, Yu.; Timokha, A.
12
2006
A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform. Zbl 0798.34064
Arov, Damir Z.; Gavrilyuk, Ivan P.
12
1993
Sloshing in a vertical circular cylindrical tank with an annular baffle. II: Nonlinear resonant waves. Zbl 1107.76012
Gavrilyuk, I.; Lukovsky, I.; Trotsenko, Yu.; Timokha, A.
11
2007
Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066
Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V.
11
2011
Strongly \(P\)-positive operators and explicit representations of the solutions of initial value problems for second-order differential equations in Banach space. Zbl 0944.34050
Gavrilyuk, Ivan P.
11
1999
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.
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 0802.47049
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
11
1994
Linear and nonlinear sloshing in a circular conical tank. Zbl 1153.76328
Gavrilyuk, I. P.; Lukovsky, I. A.; Timokha, A. N.
9
2005
Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001
Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii
9
2011
An algorithmic representation of fractional powers of positive operators. Zbl 0860.47011
Gavrilyuk, Ivan P.
9
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.
8
1995
Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians. Zbl 1283.65036
Gavrilyuk, Ivan; Khoromskij, Boris
8
2011
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216
Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia
7
2018
Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
7
1999
Two-dimensional variational vibroequilibria and Faraday’s drops. Zbl 1125.76372
Gavrilyuk, Ivan; Lukovsky, Ivan; Timokha, Alexander
7
2004
Strongly positive operators and numerical algorithms without accuracy saturation. (Сильно позитивные операторы и численные алгоритмы без насыщения точности.) Zbl 1150.65300
Gavrilyuk, I. P.; Makarov, V. L.
6
2004
\(\mathcal H\)-matrix approximation for elliptic solution operators in cylinder domains. Zbl 1012.65134
Gavrilyuk, I. P.; Hackbusch, W.; Khoromskij, B. N.
6
2001
Exponentially convergent parallel algorithm for nonlinear eigenvalue problems. Zbl 1130.65078
Gavrilyuk, I. P.; Klimenko, A. V.; Makarov, V. L.; Rossokhata, N. O.
6
2007
Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives. Zbl 1352.65201
Demkiv, Ihor; Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
6
2016
Super exponentially convergent approximation to the solution of the Schrödinger equation in abstract setting. Zbl 1283.65046
Gavrilyuk, I. P.
6
2010
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.
5
2005
Exponentially convergent parallel discretization method for the first order evolution equation. Zbl 1066.65063
Makarov, V. L.; Gavrilyuk, I. P.
5
2000
Natural sloshing frequencies in rigid truncated conical tanks. Zbl 1257.76002
Gavrilyuk, I.; Hermann, M.; Lukovsky, I.; Solodun, O.; Timokha, A.
5
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.
4
2006
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.
4
1983
Analytical velocity potentials in cells with a rigid spherical wall. Zbl 1380.76008
Barnyak, Mykhalio; Gavrilyuk, Ivan; Hermann, Martin; Timokha, Alexander
4
2011
Exact and approximate solutions of some operator equations based on the Cayley transform. Zbl 0938.47013
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
4
1998
Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. Zbl 0939.65085
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
4
1999
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.
4
2009
Compressible potential flows with free boundaries. I: Vibrocapillary equilibria. Zbl 1005.35076
Beyer, K.; Gawriljuk, I.; Günther, M.; Lukovsky, I.; Timokha, A.
4
2001
On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057
Gavrilyuk, I.; Makarov, V.; Chapko, R.
4
1999
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Zbl 1066.65061
Gavrilyuk, 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 1068.65102
Makarov, V. L.; Gavrilyuk, I. P.; Kutniv, M. V.; Hermann, M.
4
2004
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.
4
1980
Resonant equations with classical orthogonal polynomials. I. Zbl 1437.34043
Gavrilyuk, I.; Makarov, V.
4
2019
Weakly nonlinear sloshing in a truncated circular conical tank. Zbl 1431.76028
Gavrilyuk, I. P.; Hermann, M.; Lukovsky, I. A.; Solodun, O. V.; Timokha, A. N.
4
2013
Difference schemes for nonlinear BVPs on the semiaxis. Zbl 1149.65061
Gavrilyuk, 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 1150.76001
Gavrilyuk, Ivan P.; Lukovsky, Ivan A.; Makarov, Vladimir L.; Timokha, Alexander N.
3
2006
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.
3
2001
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.
3
2009
Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation. Zbl 1420.65056
Gavrilyuk, Ivan; Khoromskij, Boris N.
3
2019
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.
3
2010
Eigenoscillations of three- and two-element flexible systems. Zbl 1194.74136
Gavrilyuk, I.; Hermann, M.; Trotsenko, Yu.; Timokha, A.
3
2010
Resonant equations with classical orthogonal polynomials. II. Zbl 1441.34049
Gavrilyuk, I.; Makarov, V.
3
2019
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.
2
1983
Axisymmetric oscillations of a cupola-shaped shell. Zbl 1310.74026
Gavrilyuk, Ivan; Hermann, Martin; Trotsenko, Volodymyr; Trotsenko, Yuriy; Timokha, Alexander
2
2010
Some new discretizations of evolution equations. Zbl 0968.65032
Gavrilyuk, I. P.
2
1999
Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078
Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V.
2
2006
Exact difference schemes and difference schemes of arbitrary given degree of accuracy for generalized one-dimensional third boundary value problems. Zbl 0779.65047
Gawrilyuk, I. P.
2
1993
Approximation of the operator exponential and applications. Zbl 1143.34035
Gavrilyuk, I. P.
2
2007
Weighted estimates for boundary value problems with fractional derivatives. Zbl 1451.65171
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.; Mayko, Nataliya V.
2
2020
Exponentially convergent method for an abstract integro-differential equation with fractional Hardy-Titchmarsh integral. Zbl 1474.65501
Makarov, V. L.; Gavrylyuk, I. P.; Vasylyk, V. B.
2
2021
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Zbl 1126.65118
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
1
2007
A class of fully discrete approximations for the first order differential equations in Banach spaces with uniform estimates on the whole of \(\mathbb{R}^+\). Zbl 0961.65052
Gavrilyuk, Ivan P.
1
1999
Consistent estimates for the speed of convergence of difference solutions to generalized solutions of the first boundary-value problem for fourth order equations. Zbl 0566.65071
Gavrilyuk, I. P.; Makarov, V. L.; Pirnazarov, S. P.
1
1983
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.
1
2000
Exponentially convergent methods of parallel discretization for the first order evolution equations. Zbl 0995.65104
Makarov, V. L.; Gavrylyuk, I. P.
1
2002
Economic method for solving boundary value problems for a class of quasilinear equations containing the Laplace operator. Zbl 0474.35009
Gavrilyuk, I. P.
1
1980
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.
1
2003
A Nysróm-Kress scheme for a Dirichlet-Neumann boundary value problem associated with fluid sloshing in a rectangular tank. Zbl 1097.76577
Gavrilyuk, I. P.; Timokha, A. N.
1
2003
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.
1
2008
An exact and truncated difference schemes for boundary value problems with degeneration. Zbl 0579.65076
Gavrilyuk, I. P.; Luzhnykh, V. M.; Makarov, V. L.
1
1985
Convergence of finite-difference solutions to generalized solutions of the first boundary-value problem for a fourth-order quasilinear equation in regions of arbitrary shape. Zbl 0601.65072
Vojtsekhovskij, S. A.; Gavrilyuk, I. P.
1
1985
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
1
2004
Algorithms without accuracy saturation and exponential convergent algorithms for operator equations. Zbl 1064.65514
Gavrilyuk, Ivan P.
1
2003
Difference schemes for a fourth order one-dimensional equation with the nonlinear boundary condition. Zbl 0711.65061
Gavrilyuk, I. P.; Grekov, L. D.
1
1989
Exact and truncated difference schemes for boundary-value problem. Zbl 1362.65077
Gavrilyuk, Ivan; Kutniv, Myroslav; Makarov, Volodymyr
1
2016
Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution. Zbl 1359.74135
Gavrilyuk, I.; Hermann, M.; Trotsenko, V.; Trotsenko, Yu.; Timokha, A.
1
2014
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.
1
2017
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020
1
2019
Resonant equations and classical orthogonal polynomials. Zbl 1424.47115
Gavrylyuk, I. P.; Makarov, V. L.
1
2018
Exponentially convergent method for an abstract integro-differential equation with fractional Hardy-Titchmarsh integral. Zbl 1474.65501
Makarov, V. L.; Gavrylyuk, I. P.; Vasylyk, V. B.
2
2021
Weighted estimates for boundary value problems with fractional derivatives. Zbl 1451.65171
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.; Mayko, Nataliya V.
2
2020
Resonant equations with classical orthogonal polynomials. I. Zbl 1437.34043
Gavrilyuk, I.; Makarov, V.
4
2019
Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation. Zbl 1420.65056
Gavrilyuk, Ivan; Khoromskij, Boris N.
3
2019
Resonant equations with classical orthogonal polynomials. II. Zbl 1441.34049
Gavrilyuk, I.; Makarov, V.
3
2019
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020
1
2019
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216
Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia
7
2018
Resonant equations and classical orthogonal polynomials. Zbl 1424.47115
Gavrylyuk, I. P.; Makarov, V. L.
1
2018
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.
1
2017
Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives. Zbl 1352.65201
Demkiv, Ihor; Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
6
2016
Exact and truncated difference schemes for boundary-value problem. Zbl 1362.65077
Gavrilyuk, Ivan; Kutniv, Myroslav; Makarov, Volodymyr
1
2016
Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution. Zbl 1359.74135
Gavrilyuk, I.; Hermann, M.; Trotsenko, V.; Trotsenko, Yu.; Timokha, A.
1
2014
Weakly nonlinear sloshing in a truncated circular conical tank. Zbl 1431.76028
Gavrilyuk, I. P.; Hermann, M.; Lukovsky, I. A.; Solodun, O. V.; Timokha, A. N.
4
2013
Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066
Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V.
11
2011
Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001
Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii
9
2011
Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians. Zbl 1283.65036
Gavrilyuk, Ivan; Khoromskij, Boris
8
2011
Analytical velocity potentials in cells with a rigid spherical wall. Zbl 1380.76008
Barnyak, Mykhalio; Gavrilyuk, Ivan; Hermann, Martin; Timokha, Alexander
4
2011
Super exponentially convergent approximation to the solution of the Schrödinger equation in abstract setting. Zbl 1283.65046
Gavrilyuk, I. P.
6
2010
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.
3
2010
Eigenoscillations of three- and two-element flexible systems. Zbl 1194.74136
Gavrilyuk, I.; Hermann, M.; Trotsenko, Yu.; Timokha, A.
3
2010
Axisymmetric oscillations of a cupola-shaped shell. Zbl 1310.74026
Gavrilyuk, Ivan; Hermann, Martin; Trotsenko, Volodymyr; Trotsenko, Yuriy; Timokha, Alexander
2
2010
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.
4
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.
3
2009
Natural sloshing frequencies in rigid truncated conical tanks. Zbl 1257.76002
Gavrilyuk, I.; Hermann, M.; Lukovsky, I.; Solodun, O.; Timokha, A.
5
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.
1
2008
Sloshing in a vertical circular cylindrical tank with an annular baffle. II: Nonlinear resonant waves. Zbl 1107.76012
Gavrilyuk, I.; Lukovsky, I.; Trotsenko, Yu.; Timokha, A.
11
2007
Exponentially convergent parallel algorithm for nonlinear eigenvalue problems. Zbl 1130.65078
Gavrilyuk, I. P.; Klimenko, A. V.; Makarov, V. L.; Rossokhata, N. O.
6
2007
Difference schemes for nonlinear BVPs on the semiaxis. Zbl 1149.65061
Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L.
3
2007
Approximation of the operator exponential and applications. Zbl 1143.34035
Gavrilyuk, I. P.
2
2007
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Zbl 1126.65118
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
1
2007
Sloshing in a vertical circular cylindrical tank with an annular baffle. I: Linear fundamental solutions. Zbl 1101.76008
Gavrilyuk, I.; Lukovsky, I.; Trotsenko, Yu.; Timokha, A.
12
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.
4
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.
3
2006
Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078
Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V.
2
2006
Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems. Zbl 1071.65032
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
49
2005
Data-sparse approximation to a class of operator-valued functions. Zbl 1066.65060
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
31
2005
Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces. Zbl 1116.65063
Gavrilyuk, I. P.; Makarov, V. L.
23
2005
Linear and nonlinear sloshing in a circular conical tank. Zbl 1153.76328
Gavrilyuk, I. P.; Lukovsky, I. A.; Timokha, A. N.
9
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.
5
2005
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Zbl 1066.65061
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
4
2005
Data-sparse approximation to the operator-valued functions of elliptic operator. Zbl 1065.47009
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
30
2004
Two-dimensional variational vibroequilibria and Faraday’s drops. Zbl 1125.76372
Gavrilyuk, Ivan; Lukovsky, Ivan; Timokha, Alexander
7
2004
Strongly positive operators and numerical algorithms without accuracy saturation. (Сильно позитивные операторы и численные алгоритмы без насыщения точности.) Zbl 1150.65300
Gavrilyuk, 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 1068.65102
Makarov, 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 1069.65100
Gavrilyuk, Ivan P.; Makarov, Vladimir L.; Vasylyk, Vitaliy
1
2004
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.
1
2003
A Nysróm-Kress scheme for a Dirichlet-Neumann boundary value problem associated with fluid sloshing in a rectangular tank. Zbl 1097.76577
Gavrilyuk, I. P.; Timokha, A. N.
1
2003
Algorithms without accuracy saturation and exponential convergent algorithms for operator equations. Zbl 1064.65514
Gavrilyuk, Ivan P.
1
2003
\(\mathcal H\)-matrix approximation for the operator exponential with applications. Zbl 1005.65113
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
28
2002
Exponentially convergent methods of parallel discretization for the first order evolution equations. Zbl 0995.65104
Makarov, V. L.; Gavrylyuk, I. P.
1
2002
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
18
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.
11
2001
\(\mathcal H\)-matrix approximation for elliptic solution operators in cylinder domains. Zbl 1012.65134
Gavrilyuk, I. P.; Hackbusch, W.; Khoromskij, B. N.
6
2001
Compressible potential flows with free boundaries. I: Vibrocapillary equilibria. Zbl 1005.35076
Beyer, K.; Gawriljuk, I.; Günther, M.; Lukovsky, I.; Timokha, A.
4
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.
3
2001
Exponentially convergent parallel discretization method for the first order evolution equation. Zbl 1066.65063
Makarov, V. L.; Gavrilyuk, I. P.
5
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.
1
2000
Strongly \(P\)-positive operators and explicit representations of the solutions of initial value problems for second-order differential equations in Banach space. Zbl 0944.34050
Gavrilyuk, Ivan P.
11
1999
Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
7
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.
4
1999
On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057
Gavrilyuk, I.; Makarov, V.; Chapko, R.
4
1999
Some new discretizations of evolution equations. Zbl 0968.65032
Gavrilyuk, I. P.
2
1999
A class of fully discrete approximations for the first order differential equations in Banach spaces with uniform estimates on the whole of \(\mathbb{R}^+\). Zbl 0961.65052
Gavrilyuk, Ivan P.
1
1999
Exact and approximate solutions of some operator equations based on the Cayley transform. Zbl 0938.47013
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
4
1998
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.
15
1996
An algorithmic representation of fractional powers of positive operators. Zbl 0860.47011
Gavrilyuk, Ivan P.
9
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.
8
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.
11
1994
A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform. Zbl 0798.34064
Arov, Damir Z.; Gavrilyuk, Ivan P.
12
1993
Exact difference schemes and difference schemes of arbitrary given degree of accuracy for generalized one-dimensional third boundary value problems. Zbl 0779.65047
Gawrilyuk, I. P.
2
1993
Difference schemes for a fourth order one-dimensional equation with the nonlinear boundary condition. Zbl 0711.65061
Gavrilyuk, I. P.; Grekov, L. D.
1
1989
An exact and truncated difference schemes for boundary value problems with degeneration. Zbl 0579.65076
Gavrilyuk, I. P.; Luzhnykh, V. M.; Makarov, V. L.
1
1985
Convergence of finite-difference solutions to generalized solutions of the first boundary-value problem for a fourth-order quasilinear equation in regions of arbitrary shape. Zbl 0601.65072
Vojtsekhovskij, S. A.; Gavrilyuk, I. P.
1
1985
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.
4
1983
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.
2
1983
Consistent estimates for the speed of convergence of difference solutions to generalized solutions of the first boundary-value problem for fourth order equations. Zbl 0566.65071
Gavrilyuk, I. P.; Makarov, V. L.; Pirnazarov, S. P.
1
1983
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.
4
1980
Economic method for solving boundary value problems for a class of quasilinear equations containing the Laplace operator. Zbl 0474.35009
Gavrilyuk, I. P.
1
1980
all top 5

Cited by 281 Authors

43 Makarov, Volodymyr Leonidovych
37 Gavrilyuk, Ivan P.
29 Khoromskiĭ, Boris Nikolaevich
14 Timokha, Alexander N.
13 Ashyralyev, Allaberen
13 Hackbusch, Wolfgang
12 Kutniv, Myroslav V.
9 Khoromskaia, Venera
9 Mayko, Nataliya Valentynivna
7 Vabishchevich, Pëtr Nikolaevich
6 Kressner, Daniel
6 Lukovsky, Ivan Oleksandrovych
5 Chapko, Roman
5 Dragunov, Denys V.
5 Faltinsen, Odd Magnus
5 Hermann, Martin
5 Lanzara, Flavia
5 López-Fernández, María
5 Romanyuk, Nataliia Mykolaivna
5 Schmidt, Gunther
4 Grasedyck, Lars
4 Kunynets’, A. V.
4 Massei, Stefano
4 Maz’ya, Vladimir Gilelevich
4 Ryabichev, Vyacheslav L.
4 Vasylyk, Vitaliĭ Borysovych
4 Weideman, J. André C.
3 Bilenko, V. I.
3 Bozhonok, K. V.
3 Dal, Fadime
3 Dzyadyk, S. Yu.
3 Guglielmi, Nicola
3 Kemmochi, Tomoya
3 Lapinska-Chrzczonowicz, Magdalena
3 Melnik, Roderick V. Nicholas
3 Oseledets, Ivan Valer’evich
3 Robol, Leonardo
3 Schweiger, Florian
3 Sheen, Dongwoo
3 Trotsenko, Yuriy
3 Tyrtyshnikov, Evgeniĭ Evgen’evich
3 Wang, Jiadong
3 Yurtsever, Hasan Ali
3 Zhou, Ding
2 Alyoubi, Ahmad
2 Bachmayr, Markus
2 Boĭchuk, Oleksandr Andriĭovych
2 Bonito, Andrea
2 Bora, Swaroop Nandan
2 Börm, Steffen
2 Chernova, M. O.
2 Colbrook, Matthew J.
2 Dahmen, Wolfgang A.
2 Espig, Mike
2 Ganesh, Mahadevan
2 Khomenko, N. V.
2 Koksal, Mehmet Emir
2 Kopachevskiĭ, Nikolaĭ Dmitrievich
2 Lazarov, Raytcho D.
2 Lin, Gao
2 Litsarev, Mikhail S.
2 Liu, Jun
2 Manucci, Mattia
2 Matus, Pëtr Paŭlavich
2 McLean, William
2 Melenk, Jens Markus
2 Müller, Stefan
2 Palencia, Cesar
2 Pasciak, Joseph E.
2 Pinar, Zehra
2 Piskarëv, S. I.
2 Rossokhata, Nataliya O.
2 Saghi, Hassan
2 Schneider, Reinhold
2 Schwab, Christoph
2 Shevtsova, Valentina M.
2 Simoncini, Valeria
2 Sitshaeva, Zera Zeker’yaevna
2 Soe, A. N.
2 Süli, Endre E.
2 Sun, Ying
2 Thomée, Vidar
2 Tobler, Christine
2 Trefethen, Lloyd Nicholas
2 Yasnou, V.
2 Ye, Wenbin
1 Agarwal, Ravi P.
1 Aggez, Necmettin
1 Ahmadi-Asl, Salman
1 Andreev, Roman
1 Anh, Vo V.
1 Ashyralyyev, Charyyar
1 Ayton, Lorna J.
1 Ballani, Jonas
1 Bandyrskii, B. I.
1 Banjai, Lehel
1 Barker, Andrew T.
1 Baumann, Gerd
1 Beik, Fatemeh Panjeh Ali
1 Benner, Peter
...and 181 more Authors
all top 5

Cited in 86 Serials

15 Computational Methods in Applied Mathematics
14 Ukrainian Mathematical Journal
14 Journal of Mathematical Sciences (New York)
11 Mathematics of Computation
10 Journal of Computational and Applied Mathematics
8 Numerische Mathematik
7 Numerical Functional Analysis and Optimization
7 Applied Numerical Mathematics
6 Computers & Mathematics with Applications
6 Journal of Computational Physics
6 Journal of Engineering Mathematics
6 Cybernetics and Systems Analysis
6 SIAM Journal on Scientific Computing
6 Engineering Analysis with Boundary Elements
5 Journal of Fluid Mechanics
5 Applied Mathematics and Computation
5 Numerical Linear Algebra with Applications
4 SIAM Journal on Numerical Analysis
4 Numerical Methods for Partial Differential Equations
4 Journal of Integral Equations and Applications
4 Computational Mathematics and Mathematical Physics
4 Journal of Numerical Mathematics
3 Computer Physics Communications
3 BIT
3 Computing
3 Constructive Approximation
3 SIAM Journal on Matrix Analysis and Applications
3 Applied Mathematical Modelling
3 Linear Algebra and its Applications
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
2 Fluid Dynamics
2 Journal of Scientific Computing
2 International Journal of Computer Mathematics
2 Applied and Computational Harmonic Analysis
2 Computing and Visualization in Science
2 Discrete Dynamics in Nature and Society
2 European Journal of Mechanics. B. Fluids
2 Engineering Computations
2 Acta Numerica
2 Nonlinear Oscillations
2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Mathematical Analysis and Applications
1 Physica A
1 Studia Mathematica
1 The Annals of Probability
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Zeitschrift für Analysis und ihre Anwendungen
1 Journal of Complexity
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Applied Mathematics and Stochastic Analysis
1 Numerical Algorithms
1 SIAM Review
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 St. Petersburg Mathematical Journal
1 Advances in Computational Mathematics
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 European Journal of Control
1 Nonlinear Dynamics
1 Vietnam Journal of Mathematics
1 Fractional Calculus & Applied Analysis
1 The ANZIAM Journal
1 Differential Equations
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Sādhanā
1 Central European Journal of Mathematics
1 Advances in Difference Equations
1 International Journal of Numerical Analysis and Modeling
1 Oberwolfach Reports
1 GAMM-Mitteilungen
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Communications in Computational Physics
1 Mathematical Modelling of Natural Phenomena
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Journal of Computational and Graphical Statistics
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 ISRN Mathematical Physics
1 Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Bollettino dell’Unione Matematica Italiana

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