Ivan P. Gavrilyuk

According to our database, Ivan P. Gavrilyuk authored at least 28 papers between 1999 and 2021.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2021

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

2020

Weighted Estimates for Boundary Value Problems with Fractional Derivatives.

Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko

Comput. Methods Appl. Math., 2020

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

Tensor Numerical Methods: Actual Theory and Recent Applications.

Ivan P. Gavrilyuk, Boris N. Khoromskij

Comput. Methods Appl. Math., 2019

2018

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

2016

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

2013

Stability and Regularization of Difference Schemes in Banach and Hilbert Spaces.

Ivan P. Gavrilyuk, Volodymyr L. Makarov

Comput. Methods Appl. Math., 2013

2011

Fast multipole boundary element method.

Ivan P. Gavrilyuk

Math. Comput., 2011

Preface to the special issue, CMAM 2011, no. 3.

Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov

Comput. Methods Appl. Math., 2011

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

2010

Lagrange multiplier approach to variational problems and applications.

Ivan P. Gavrilyuk

Math. Comput., 2010

Introduction to interval analysis.

Ivan P. Gavrilyuk

Math. Comput., 2010

Super Exponentially Convergent Approximation to the Solution of the Schrödinger Equation in Abstract Setting.

Ivan P. Gavrilyuk

Comput. Methods Appl. Math., 2010

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

2009

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

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

An exponentially convergent algorithm for nonlinear differential equations in Banach spaces.

Ivan P. Gavrilyuk, Volodymyr L. Makarov

Math. Comput., 2007

Variational analysis in Sobolev and BV spaces.

Ivan P. Gavrilyuk

Math. Comput., 2007

2006

Collocation methods for Volterra integral and related functional equations.

Ivan P. Gavrilyuk

Math. Comput., 2006

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

Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces.

Ivan P. Gavrilyuk, Volodymyr L. Makarov

Math. Comput., 2005

Data-sparse approximation to a class of operator-valued functions.

Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij

Math. Comput., 2005

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

2004

Data-sparse approximation to the operator-valued functions of elliptic operator.

Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij

Math. Comput., 2004

2002

ℋ-Matrix approximation for the operator exponential with applications.

Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij

Numerische Mathematik, 2002

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 elliptic solution operators in cylinder domains.

Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij

J. Num. Math., 2001

1999

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