Ivan P. Gavrilyuk

Publication Activity (10 Years)

Years Active: 1999-2021
Publications (10 Years): 6

Top Topics

Differential Equations

Parallel Algorithm

Top Venues

Comput. Methods Appl. Math.

Publications

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) (2021)
Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko
Weighted Estimates for Boundary Value Problems with Fractional Derivatives. Comput. Methods Appl. Math. 20 (4) (2020)
Ivan P. Gavrilyuk, Boris N. Khoromskij
Tensor Numerical Methods: Actual Theory and Recent Applications. Comput. Methods Appl. Math. 19 (1) (2019)
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) (2019)
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) (2018)
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) (2016)
Ivan P. Gavrilyuk, Volodymyr L. Makarov
Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces. Comput. Methods Appl. Math. 13 (2) (2013)
Ivan P. Gavrilyuk
Fast multipole boundary element method. Math. Comput. 80 (275) (2011)
Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
Preface to the special issue, CMAM 2011, no. 3. Comput. Methods Appl. Math. 11 (3) (2011)
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) (2011)
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) (2010)
Ivan P. Gavrilyuk
Super Exponentially Convergent Approximation to the Solution of the Schrödinger Equation in Abstract Setting. Comput. Methods Appl. Math. 10 (4) (2010)
Ivan P. Gavrilyuk
Lagrange multiplier approach to variational problems and applications. Math. Comput. 79 (269) (2010)
Ivan P. Gavrilyuk
Introduction to interval analysis. Math. Comput. 79 (269) (2010)
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) (2009)
Ivan P. Gavrilyuk, Volodymyr L. Makarov
An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. Math. Comput. 76 (260) (2007)
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) (2007)
Ivan P. Gavrilyuk
Variational analysis in Sobolev and BV spaces. Math. Comput. 76 (259) (2007)
Ivan P. Gavrilyuk
Collocation methods for Volterra integral and related functional equations. Math. Comput. 75 (254) (2006)
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) (2005)
Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
Data-sparse approximation to a class of operator-valued functions. Math. Comput. 74 (250) (2005)
Ivan P. Gavrilyuk, Volodymyr L. Makarov
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. Math. Comput. 74 (250) (2005)
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) (2005)
Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
Data-sparse approximation to the operator-valued functions of elliptic operator. Math. Comput. 73 (247) (2004)
Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
ℋ-Matrix approximation for the operator exponential with applications. Numerische Mathematik 92 (1) (2002)
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) (2001)
Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
ℋ-matrix approximation for elliptic solution operators in cylinder domains. J. Num. Math. 9 (1) (2001)
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) (1999)