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ORCIDIvan P. Gavrilyuk
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Journal Articles
- 2021
[j28]Ivan P. Gavrilyuk
, Volodymyr L. Makarov, Nataliya V. Mayko:
Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations. Comput. Methods Appl. Math. 21(1): 53-68 (2021)- 2020
- [j27]Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko:
Weighted Estimates for Boundary Value Problems with Fractional Derivatives. Comput. Methods Appl. Math. 20(4): 609-630 (2020) - 2019
- [j26]Ivan P. Gavrilyuk, Boris N. Khoromskij:
Tensor Numerical Methods: Actual Theory and Recent Applications. Comput. Methods Appl. Math. 19(1): 1-4 (2019) - [j25]Ivan P. Gavrilyuk, Boris N. Khoromskij:
Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation. Comput. Methods Appl. Math. 19(1): 55-71 (2019) - 2018
- [j24]Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliia Romaniuk:
Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type. Comput. Methods Appl. Math. 18(1): 21-32 (2018) - 2016
- [j23]Lyubomyr I. Demkiv, Ivan P. Gavrilyuk, Volodymyr L. Makarov:
Super-Exponentially Convergent Parallel Algorithm for Eigenvalue Problems with Fractional Derivatives. Comput. Methods Appl. Math. 16(4): 633-652 (2016) - 2013
- [j22]Ivan P. Gavrilyuk, Volodymyr L. Makarov:
Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces. Comput. Methods Appl. Math. 13(2): 139-160 (2013) - 2011
- [j21]Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov:
Preface to the special issue, CMAM 2011, no. 3. Comput. Methods Appl. Math. 11(3): 272 (2011) - [j20]Ivan P. Gavrilyuk, Boris N. Khoromskij:
Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians. Comput. Methods Appl. Math. 11(3): 273-290 (2011) - [j19]Ivan P. Gavrilyuk:
Fast multipole boundary element method. Math. Comput. 80(275): 1867-1869 (2011) - 2010
- [j18]Ivan P. Gavrilyuk, Martin Hermann, Myroslav V. Kutniv, Volodymyr L. Makarov:
Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs. Appl. Math. Lett. 23(5): 585-590 (2010) - [j17]Ivan P. Gavrilyuk:
Super Exponentially Convergent Approximation to the Solution of the Schrödinger Equation in Abstract Setting. Comput. Methods Appl. Math. 10(4): 345-358 (2010) - [j16]Ivan P. Gavrilyuk:
Introduction to interval analysis. Math. Comput. 79(269): 615-616 (2010) - [j15]Ivan P. Gavrilyuk:
Lagrange multiplier approach to variational problems and applications. Math. Comput. 79(269): 617-618 (2010) - 2009
- [j14]Ivan P. Gavrilyuk, I. I. Lazurchak, Volodymyr L. Makarov, Dmytro Sytnyk:
A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations. Comput. Methods Appl. Math. 9(1): 63-78 (2009) - 2007
- [j13]Ivan P. Gavrilyuk:
Variational analysis in Sobolev and BV spaces. Math. Comput. 76(259): 1695-1696 (2007) - [j12]Ivan P. Gavrilyuk, Volodymyr L. Makarov:
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Math. Comput. 76(260): 1895-1923 (2007) - [j11]T. Yu. Bohonova, Ivan P. Gavrilyuk, Volodymyr L. Makarov, Vitalii B. Vasylyk:
Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space. SIAM J. Numer. Anal. 46(1): 365-396 (2007) - 2006
- [j10]Ivan P. Gavrilyuk:
Collocation methods for Volterra integral and related functional equations. Math. Comput. 75(254) (2006) - 2005
- [j9]Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij:
Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems. Computing 74(2): 131-157 (2005) - [j8]Ivan P. Gavrilyuk, Volodymyr L. Makarov:
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Math. Comput. 74(250): 555-583 (2005) - [j7]Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij:
Data-sparse approximation to a class of operator-valued functions. Math. Comput. 74(250): 681-708 (2005) - [j6]Ivan P. Gavrilyuk, Volodymyr L. Makarov:
Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces. SIAM J. Numer. Anal. 43(5): 2144-2171 (2005) - 2004
- [j5]Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij:
Data-sparse approximation to the operator-valued functions of elliptic operator. Math. Comput. 73(247): 1297-1324 (2004) - 2002
- [j4]Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij:
ℋ-Matrix approximation for the operator exponential with applications. Numerische Mathematik 92(1): 83-111 (2002) - 2001
- [j3]Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij:
ℋ-matrix approximation for elliptic solution operators in cylinder domains. J. Num. Math. 9(1): 25-58 (2001) - [j2]Alexander Samarskii, Ivan P. Gavrilyuk, Volodymyr L. Makarov:
Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces. SIAM J. Numer. Anal. 39(2): 708-723 (2001) - 1999
- [j1]Ivan P. Gavrilyuk, Nataliya Rossokhataya, Victor Rossokhaty, Volodymyr L. Makarov:
Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum Efficiency. SIAM J. Appl. Math. 59(6): 2121-2138 (1999)
Coauthor Index
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