Ivan P. Gavrilyuk - researchr alias

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Viewing Publication 1 - 28 from 28

2021

Weighted Estimates of the Cayley Transform Method for Abstract Differential EquationsIvan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko. cmam, 21(1):53-68, 2021. [doi]

2020

Weighted Estimates for Boundary Value Problems with Fractional DerivativesIvan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko. cmam, 20(4):609-630, 2020. [doi]

2019

Tensor Numerical Methods: Actual Theory and Recent ApplicationsIvan P. Gavrilyuk, Boris N. Khoromskij. cmam, 19(1):1-4, 2019. [doi]

Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev InterpolationIvan P. Gavrilyuk, Boris N. Khoromskij. cmam, 19(1):55-71, 2019. [doi]

2018

Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-TypeIvan P. Gavrilyuk, Volodymyr L. Makarov, Nataliia Romaniuk. cmam, 18(1):21-32, 2018. [doi]

2016

Super-Exponentially Convergent Parallel Algorithm for Eigenvalue Problems with Fractional DerivativesLyubomyr I. Demkiv, Ivan P. Gavrilyuk, Volodymyr L. Makarov. cmam, 16(4):633-652, 2016. [doi]

2013

Stability and Regularization of Difference Schemes in Banach and Hilbert SpacesIvan P. Gavrilyuk, Volodymyr L. Makarov. cmam, 13(2):139-160, 2013. [doi]

2011

Fast multipole boundary element methodIvan P. Gavrilyuk. moc, 80(275):1867-1869, 2011. [doi]

Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional HamiltoniansIvan P. Gavrilyuk, Boris N. Khoromskij. cmam, 11(3):273-290, 2011. [doi]

Preface to the special issue, CMAM 2011, no. 3Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov. cmam, 11(3):272, 2011. [doi]

2010

Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPsIvan P. Gavrilyuk, M. Hermann, M. V. Kutniv, V. L. Makarov. appml, 23(5):585-590, 2010. [doi]

Introduction to interval analysisIvan P. Gavrilyuk. moc, 79(269):615-616, 2010. [doi]

Lagrange multiplier approach to variational problems and applicationsIvan P. Gavrilyuk. moc, 79(269):617-618, 2010. [doi]

Super Exponentially Convergent Approximation to the Solution of the Schrödinger Equation in Abstract SettingIvan P. Gavrilyuk. cmam, 10(4):345-358, 2010. [doi]

2009

A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator EquationsIvan P. Gavrilyuk, I. I. Lazurchak, Volodymyr L. Makarov, D. Sytnyk. cmam, 9(1):63-78, 2009. [doi]

2007

Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach SpaceT. Yu. Bohonova, Ivan P. Gavrilyuk, Volodymyr L. Makarov, V. Vasylyk. siamnum, 46(1):365-396, 2007. [doi]

An exponentially convergent algorithm for nonlinear differential equations in Banach spacesIvan P. Gavrilyuk, Volodymyr L. Makarov. moc, 76(260):1895-1923, 2007. [doi]

Variational analysis in Sobolev and BV spacesIvan P. Gavrilyuk. moc, 76(259):1695-1696, 2007. [doi]

2006

Collocation methods for Volterra integral and related functional equationsIvan P. Gavrilyuk. moc, 75(254), 2006. [doi]

2005

2004

Data-sparse approximation to the operator-valued functions of elliptic operatorIvan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij. moc, 73(247):1297-1324, 2004.

2002

ℋ-Matrix approximation for the operator exponential with applicationsIvan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij. nm, 92(1):83-111, 2002. [doi]

2001

ℋ-matrix approximation for elliptic solution operators in cylinder domainsIvan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij. jnma, 9(1):25-58, 2001. [doi]

Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach SpacesAlexander Samarskii, Ivan P. Gavrilyuk, Vladimir Makarov. siamnum, 39(2):708-723, 2001. [doi]

1999

Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum EfficiencyIvan P. Gavrilyuk, Nataliya Rossokhataya, Victor Rossokhaty, Vladimir Makarov. siamam, 59(6):2121-2138, 1999. [doi]

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