Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum Efficiency. - Ivan P. Gavrilyuk; Nataliya Rossokhataya; Victor Rossokhaty; Volodymyr L. Makarov (SIAM J. Appl. Math., 1999)

ℋ-matrix approximation for elliptic solution operators in cylinder domains. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (J. Num. Math., 2001)

Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces. - Alexander Samarskii; Ivan P. Gavrilyuk; Volodymyr L. Makarov (SIAM J. Numer. Anal., 2001)

ℋ-Matrix approximation for the operator exponential with applications. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Numerische Mathematik, 2002)

Data-sparse approximation to the operator-valued functions of elliptic operator. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Math. Comput., 2004)

Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2005)

Data-sparse approximation to a class of operator-valued functions. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Math. Comput., 2005)

Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces. - Ivan P. Gavrilyuk; Volodymyr L. Makarov (Math. Comput., 2005)

Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces. - Ivan P. Gavrilyuk; Volodymyr L. Makarov (SIAM J. Numer. Anal., 2005)

Collocation methods for Volterra integral and related functional equations. - Ivan P. Gavrilyuk (Math. Comput., 2006)

Variational analysis in Sobolev and BV spaces. - Ivan P. Gavrilyuk (Math. Comput., 2007)

An exponentially convergent algorithm for nonlinear differential equations in Banach spaces. - Ivan P. Gavrilyuk; Volodymyr L. Makarov (Math. Comput., 2007)

Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space. - T. Yu. Bohonova; Ivan P. Gavrilyuk; Volodymyr L. Makarov; Vitalii B. Vasylyk (SIAM J. Numer. Anal., 2007)

A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations. - Ivan P. Gavrilyuk; I. I. Lazurchak; Volodymyr L. Makarov; Dmytro Sytnyk (Comput. Methods Appl. Math., 2009)

Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs. - Ivan P. Gavrilyuk; Martin Hermann; Myroslav V. Kutniv; Volodymyr L. Makarov (Appl. Math. Lett., 2010)

Super Exponentially Convergent Approximation to the Solution of the Schrödinger Equation in Abstract Setting. - Ivan P. Gavrilyuk (Comput. Methods Appl. Math., 2010)

Introduction to interval analysis. - Ivan P. Gavrilyuk (Math. Comput., 2010)

Lagrange multiplier approach to variational problems and applications. - Ivan P. Gavrilyuk (Math. Comput., 2010)

Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians. - Ivan P. Gavrilyuk; Boris N. Khoromskij (Comput. Methods Appl. Math., 2011)

Preface to the special issue, CMAM 2011, no. 3. - Ivan P. Gavrilyuk; Boris N. Khoromskij; Eugene E. Tyrtyshnikov (Comput. Methods Appl. Math., 2011)

Fast multipole boundary element method. - Ivan P. Gavrilyuk (Math. Comput., 2011)

Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces. - Ivan P. Gavrilyuk; Volodymyr L. Makarov (Comput. Methods Appl. Math., 2013)

Super-Exponentially Convergent Parallel Algorithm for Eigenvalue Problems with Fractional Derivatives. - Lyubomyr I. Demkiv; Ivan P. Gavrilyuk; Volodymyr L. Makarov (Comput. Methods Appl. Math., 2016)

Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-Type. - Ivan P. Gavrilyuk; Volodymyr L. Makarov; Nataliia Romaniuk (Comput. Methods Appl. Math., 2018)

Tensor Numerical Methods: Actual Theory and Recent Applications. - Ivan P. Gavrilyuk; Boris N. Khoromskij (Comput. Methods Appl. Math., 2019)

Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation. - Ivan P. Gavrilyuk; Boris N. Khoromskij (Comput. Methods Appl. Math., 2019)

Weighted Estimates for Boundary Value Problems with Fractional Derivatives. - Ivan P. Gavrilyuk; Volodymyr L. Makarov; Nataliya V. Mayko (Comput. Methods Appl. Math., 2020)

Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations. - Ivan P. Gavrilyuk; Volodymyr L. Makarov; Nataliya V. Mayko (Comput. Methods Appl. Math., 2021)