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Gavrilyuk, Ivan P.

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Author ID: gavrilyuk.ivan-p Recent zbMATH articles by "Gavrilyuk, Ivan P."
Published as: Gavrilyuk, I.; Gavrilyuk, I. P.; Gavrilyuk, Ivan; Gavrilyuk, Ivan P.; Gavrilyuk, Ī. P.
External Links: MGP · ORCID
Documents Indexed: 146 Publications since 1971, including 4 Books
all top 5

Serials

22 Vychislitel’naya i Prikladnaya Matematika
20 Computational Methods in Applied Mathematics
9 Journal of Soviet Mathematics
7 Numerical Functional Analysis and Optimization
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 U.S.S.R. Computational Mathematics and Mathematical Physics
2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
2 Ukrainian Mathematical Journal
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 Matematicheskoe Modelirovanie
1 IMA Journal of Numerical Analysis
1 International Journal of Solids and Structures
1 Journal of Mathematical Analysis and Applications
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
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 Zeitschrift für Analysis und ihre Anwendungen
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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Engineering Computations
1 Zhurnal Obchyslyuval’noïta Prykladnoï Matematyky
1 Applied Mathematics and Informatics
1 Advances in Difference Equations
1 ISNM. International Series of Numerical Mathematics
1 Frontiers in Mathematics

Publications by Year

Citations contained in zbMATH

69 Publications have been cited 396 times in 212 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.
40
2005
Data-sparse approximation to a class of operator-valued functions. Zbl 1066.65060
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
27
2005
Data-sparse approximation to the operator-valued functions of elliptic operator. Zbl 1065.47009
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
25
2004
\(\mathcal H\)-matrix approximation for the operator exponential with applications. Zbl 1005.65113
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
24
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.
21
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.
14
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.
11
2006
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
11
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
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.
10
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.
10
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.
9
2007
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.
9
1999
Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians. Zbl 1283.65036
Gavrilyuk, Ivan; Khoromskij, Boris
7
2011
Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066
Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V.
7
2011
Linear and nonlinear sloshing in a circular conical tank. Zbl 1153.76328
Gavrilyuk, I. P.; Lukovsky, I. A.; Timokha, A. N.
7
2005
An algorithmic representation of fractional powers of positive operators. Zbl 0860.47011
Gavrilyuk, Ivan P.
7
1996
Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives. Zbl 1352.65201
Demkiv, Ihor; Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
6
2016
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
Two-dimensional variational vibroequilibria and Faraday’s drops. Zbl 1125.76372
Gavrilyuk, Ivan; Lukovsky, Ivan; Timokha, Alexander
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
Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
6
1999
Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001
Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii
5
2011
Natural sloshing frequencies in rigid truncated conical tanks. Zbl 1257.76002
Gavrilyuk, I.; Hermann, M.; Lukovsky, I.; Solodun, O.; Timokha, A.
5
2008
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
Strongly positive operators and numerical algorithms without accuracy saturation. Zbl 1150.65300
Gavrilyuk, I. P.; Makarov, V. L.
5
2004
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.
5
1995
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216
Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia
4
2018
Analytical velocity potentials in cells with a rigid spherical wall. Zbl 1380.76008
Barnyak, Mykhalio; Gavrilyuk, Ivan; Hermann, Martin; Timokha, Alexander
4
2011
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
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
Exponentially convergent parallel discretization method for the first order evolution equation. Zbl 1066.65063
Makarov, V. L.; Gavrilyuk, I. P.
4
2000
On the numerical solution of linear evolution problems with an integral operator coefficient. Zbl 0974.65057
Gavrilyuk, I.; Makarov, V.; Chapko, R.
4
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.
4
1983
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.
3
2013
Super exponentially convergent approximation to the solution of the Schrödinger equation in abstract setting. Zbl 1283.65046
Gavrilyuk, I. P.
3
2010
Eigenoscillations of three- and two-element flexible systems. Zbl 1194.74136
Gavrilyuk, I.; Hermann, M.; Trotsenko, Yu.; Timokha, A.
3
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.
3
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
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
Exact and approximate solutions of some operator equations based on the Cayley transform. Zbl 0938.47013
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
3
1998
Axisymmetric oscillations of a cupola-shaped shell. Zbl 1310.74026
Gavrilyuk, Ivan; Hermann, Martin; Trotsenko, Volodymyr; Trotsenko, Yuriy; Timokha, Alexander
2
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.
2
2010
Exponentially convergent approximation to the elliptic solution operator. Zbl 1117.65078
Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V.
2
2006
Some new discretizations of evolution equations. Zbl 0968.65032
Gavrilyuk, I. P.
2
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.
2
1999
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
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.
2
1980
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020
Gavrilyuk, Ivan (ed.); Khoromskij, Boris N. (ed.)
1
2019
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
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
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
Approximation of the operator exponential and applications. Zbl 1143.34035
Gavrilyuk, I. P.
1
2007
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Zbl 1126.65118
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.
1
2007
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 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
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
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
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
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
Some inverse problems of internal-diffusion kinetics of adsorption. Zbl 0793.76087
Gavrilyuk, I. P.; Zhuk, P. F.; Bondarenko, L. N.
1
1988
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
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
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
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
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020
Gavrilyuk, Ivan (ed.); Khoromskij, Boris N. (ed.)
1
2019
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216
Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia
4
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
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.
3
2013
Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians. Zbl 1283.65036
Gavrilyuk, Ivan; Khoromskij, Boris
7
2011
Exact and truncated difference schemes for boundary value ODEs. Zbl 1226.65066
Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V.
7
2011
Exponentially convergent algorithms for abstract differential equations. Zbl 1225.47001
Gavrilyuk, Ivan; Makarov, Volodymyr; Vasylyk, Vitalii
5
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.
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
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.
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.
3
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.
9
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.
1
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.
11
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.
40
2005
Data-sparse approximation to a class of operator-valued functions. Zbl 1066.65060
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
27
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.
21
2005
Linear and nonlinear sloshing in a circular conical tank. Zbl 1153.76328
Gavrilyuk, I. P.; Lukovsky, I. A.; Timokha, A. N.
7
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.
25
2004
Two-dimensional variational vibroequilibria and Faraday’s drops. Zbl 1125.76372
Gavrilyuk, Ivan; Lukovsky, Ivan; Timokha, Alexander
6
2004
Strongly positive operators and numerical algorithms without accuracy saturation. Zbl 1150.65300
Gavrilyuk, I. P.; Makarov, V. L.
5
2004
A two-point difference scheme of an arbitrary order of accuracy for BVPs for systems of first order nonlinear ODEs. Zbl 1068.65102
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 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
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
\(\mathcal H\)-matrix approximation for the operator exponential with applications. Zbl 1005.65113
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N.
24
2002
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
11
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
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.
4
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.
9
1999
Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. Zbl 0939.65084
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
6
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
Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. Zbl 0939.65085
Gavrilyuk, Ivan P.; Makarov, Vladimir L.
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.
3
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.
14
1996
An algorithmic representation of fractional powers of positive operators. Zbl 0860.47011
Gavrilyuk, Ivan P.
7
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.
5
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.
10
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.
10
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
Some inverse problems of internal-diffusion kinetics of adsorption. Zbl 0793.76087
Gavrilyuk, I. P.; Zhuk, P. F.; Bondarenko, L. N.
1
1988
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
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
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.
2
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 246 Authors

34 Makarov, Volodymyr Leonidovich
32 Gavrilyuk, Ivan P.
26 Khoromskij, Boris N.
15 Timokha, Alexander N.
13 Hackbusch, Wolfgang
12 Ashyralyev, Allaberen
9 Kutniv, Myroslav V.
7 Khoromskaia, Venera
6 Lukovsky, Ivan Oleksandrovych
6 Vabishchevich, Pëtr Nikolaevich
5 Chapko, Roman
5 Dragunov, Denys V.
5 Faltinsen, Odd Magnus
5 Hermann, Martin
5 Kressner, Daniel
5 Lanzara, Flavia
5 Mayko, Nataliya Valentynivna
5 Schmidt, Gunther
4 Grasedyck, Lars
4 López-Fernández, María
4 Maz’ya, Vladimir Gilelevich
4 Romanyuk, Nataliia Mykolaivna
4 Weideman, J. André C.
3 Bilenko, V. I.
3 Bozhonok, K. V.
3 Choudhary, Neelam
3 Dal, Fadime
3 Dzyadyk, S. Yu.
3 Lapinska-Chrzczonowicz, Magdalena
3 Massei, Stefano
3 Melnik, Roderick V. Nicholas
3 Oseledets, Ivan V.
3 Robol, Leonardo
3 Schweiger, Florian
3 Trotsenko, Yuriy
3 Tyrtyshnikov, Evgeniĭ Evgen’evich
3 Vasylyk, Vitaliĭ Borysovych
3 Yurtsever, Hasan Ali
2 Baumann, Gerd
2 Bonito, Andrea
2 Bora, Swaroop Nandan
2 Chernova, M. O.
2 Espig, Mike
2 Kemmochi, Tomoya
2 Koksal, Mehmet Emir
2 Kopachevsky, Nikolay Dmitrievich
2 Krol, Magdalena Ewa
2 Kunynets’, A. V.
2 Lin, Gao
2 Litsarev, Mikhail S.
2 Liu, Jun
2 Matus, Pëtr Paŭlavich
2 McLean, William
2 Müller, Stefan
2 Palencia, Cesar
2 Pasciak, Joseph E.
2 Pinar, Zehra
2 Piskarëv, S. I.
2 Rossokhata, Nataliya O.
2 Ryabichev, Vyacheslav L.
2 Schneider, Reinhold
2 Sheen, Dongwoo
2 Simoncini, Valeria
2 Sitshaeva, Zera Zeker’yaevna
2 Soe, A. N.
2 Stenger, Frank
2 Süli, Endre E.
2 Thomée, Vidar
2 Tobler, Christine
2 Trefethen, Lloyd Nicholas
2 Ye, Wenbin
1 Agarwal, Ravi P.
1 Aggez, Necmettin
1 Ahmadi-Asl, Salman
1 Alyoubi, Ahmad
1 Andreev, Roman
1 Anh, Vo V.
1 Ballani, Jonas
1 Barker, Andrew T.
1 Beik, Fatemeh Panjeh Ali
1 Benner, Peter
1 Benzi, Michele
1 Berikelashvili, Givi
1 Bertaccini, Daniele
1 Bertoglio, Cristóbal
1 Bini, Dario Andrea
1 Boĭchuk, Oleksandr Andriĭovych
1 Börm, Steffen
1 Burkovskaya, V. L.
1 Chaĭkovs’kyĭ, Andriĭ Volodymyrovych
1 Chanane, Bilal
1 Chashechkin, Yu. D.
1 Čiegis, Raimondas
1 Dahmen, Wolfgang A.
1 Datsiv, G. P.
1 Datsko, B. Yo.
1 Demkiv, Ihor
1 DeVore, Ronald A.
1 Dijkema, Tammo Jan
1 Dingfelder, Benedict
...and 146 more Authors
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Cited in 77 Serials

13 Computational Methods in Applied Mathematics
12 Journal of Mathematical Sciences (New York)
11 Mathematics of Computation
10 Journal of Computational and Applied Mathematics
7 Ukrainian Mathematical Journal
7 Numerische Mathematik
7 Applied Numerical Mathematics
6 Computers & Mathematics with Applications
6 Journal of Engineering Mathematics
6 Numerical Functional Analysis and Optimization
6 Engineering Analysis with Boundary Elements
5 Journal of Fluid Mechanics
5 Cybernetics and Systems Analysis
5 SIAM Journal on Scientific Computing
5 Numerical Linear Algebra with Applications
4 Journal of Computational Physics
4 Applied Mathematics and Computation
4 Journal of Integral Equations and Applications
4 Journal of Numerical Mathematics
3 Computer Physics Communications
3 Computing
3 Constructive Approximation
3 Numerical Methods for Partial Differential Equations
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
2 Fluid Dynamics
2 BIT
2 SIAM Journal on Numerical Analysis
2 SIAM Journal on Matrix Analysis and Applications
2 Applied Mathematical Modelling
2 Linear Algebra and its Applications
2 Applied and Computational Harmonic Analysis
2 Fractional Calculus & Applied Analysis
2 Discrete Dynamics in Nature and Society
2 European Journal of Mechanics. B. Fluids
2 Engineering Computations
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 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 Scientific Computing
1 Journal of Applied Mathematics and Stochastic Analysis
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 International Journal of Computer Mathematics
1 St. Petersburg Mathematical Journal
1 Advances in Computational Mathematics
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 European Journal of Control
1 Computing and Visualization in Science
1 Nonlinear Dynamics
1 Vietnam Journal of Mathematics
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 Acta Numerica
1 Advances in Difference Equations
1 GAMM-Mitteilungen
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 ISRN Mathematical Physics
1 Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Bollettino dell’Unione Matematica Italiana

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