Ivan P. Gavrilyuk

28 papers Journal 28

Year	Rank	Type	Title / Venue / Authors
2021	J	`jnl`	Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko
2020	J	`jnl`	Weighted Estimates for Boundary Value Problems with Fractional Derivatives. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko
2019	J	`jnl`	Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij
2019	J	`jnl`	Tensor Numerical Methods: Actual Theory and Recent Applications. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij
2018	J	`jnl`	Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliia Romaniuk
2016	J	`jnl`	Super-Exponentially Convergent Parallel Algorithm for Eigenvalue Problems with Fractional Derivatives. Comput. Methods Appl. Math. Lyubomyr I. Demkiv, Ivan P. Gavrilyuk, Volodymyr L. Makarov
2013	J	`jnl`	Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Volodymyr L. Makarov
2011	J	`jnl`	Fast multipole boundary element method. Math. Comput. Ivan P. Gavrilyuk
2011	J	`jnl`	Preface to the special issue, CMAM 2011, no. 3. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2011	J	`jnl`	Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij
2010	J	`jnl`	Introduction to interval analysis. Math. Comput. Ivan P. Gavrilyuk
2010	J	`jnl`	Lagrange multiplier approach to variational problems and applications. Math. Comput. Ivan P. Gavrilyuk
2010	J	`jnl`	Super Exponentially Convergent Approximation to the Solution of the Schrödinger Equation in Abstract Setting. Comput. Methods Appl. Math. Ivan P. Gavrilyuk
2010	J	`jnl`	Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs. Appl. Math. Lett. Ivan P. Gavrilyuk, Martin Hermann, Myroslav V. Kutniv, Volodymyr L. Makarov
2009	J	`jnl`	A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, I. I. Lazurchak, Volodymyr L. Makarov, Dmytro Sytnyk
2007	J	`jnl`	An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Math. Comput. Ivan P. Gavrilyuk, Volodymyr L. Makarov
2007	J	`jnl`	Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space. SIAM J. Numer. Anal. T. Yu. Bohonova, Ivan P. Gavrilyuk, Volodymyr L. Makarov, Vitalii B. Vasylyk
2007	J	`jnl`	Variational analysis in Sobolev and BV spaces. Math. Comput. Ivan P. Gavrilyuk
2006	J	`jnl`	Collocation methods for Volterra integral and related functional equations. Math. Comput. Ivan P. Gavrilyuk
2005	J	`jnl`	Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Math. Comput. Ivan P. Gavrilyuk, Volodymyr L. Makarov
2005	J	`jnl`	Data-sparse approximation to a class of operator-valued functions. Math. Comput. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2005	J	`jnl`	Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces. SIAM J. Numer. Anal. Ivan P. Gavrilyuk, Volodymyr L. Makarov
2005	J	`jnl`	Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems. Computing Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2004	J	`jnl`	Data-sparse approximation to the operator-valued functions of elliptic operator. Math. Comput. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2002	J	`jnl`	ℋ-Matrix approximation for the operator exponential with applications. Numerische Mathematik Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2001	J	`jnl`	Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces. SIAM J. Numer. Anal. Alexander Samarskii, Ivan P. Gavrilyuk, Volodymyr L. Makarov
2001	J	`jnl`	ℋ-matrix approximation for elliptic solution operators in cylinder domains. J. Num. Math. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
1999	J	`jnl`	Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum Efficiency. SIAM J. Appl. Math. Ivan P. Gavrilyuk, Nataliya Rossokhataya, Victor Rossokhaty, Volodymyr L. Makarov