I. Gavrilyuk

发表

Book Review: Variational analysis in Sobolev and BV spaces

I. Gavrilyuk, 2007 .

Linear and nonlinear sloshing in a circular conical tank

I. Gavrilyuk, A. Timokha, I. Lukovsky, 2005 .

Weighted Estimates for Boundary Value Problems with Fractional Derivatives

V. Makarov, I. Gavrilyuk, N. Mayko, 2019, Comput. Methods Appl. Math..

Weakly nonlinear sloshing in a truncated circular conical tank

I. Gavrilyuk, A. Timokha, I. Lukovsky, 2013 .

Analytical velocity potentials in cells with a rigid spherical wall

I. Gavrilyuk, A. Timokha, M. Barnyak, 2011 .

Axisymmetric oscillations of a cupola-shaped shell

Yu. V. Trotsenko, I. Gavrilyuk, A. Timokha, 2010 .

Eigenoscillations of three- and two-element flexible systems

Yu. V. Trotsenko, I. Gavrilyuk, A. Timokha, 2010 .

Adaptive algorithms based on exact difference schemes for nonlinear BVPs on the half-axis

V. Makarov, I. Gavrilyuk, M. Kutniv, 2009 .

Difference Schemes for Nonlinear BVPS on the Semiaxis

I. Gavrilyuk, M. Kutniv, M. Hermann, 2007 .

fMathematik in den Naturwissenschaften Leipzig H-matrix approximation for the operator exponential with applications

Ivan P. Gavrilyuk, Boris N. Khoromskij, Wolfgang Hackbusch, 2000 .

Approximation of the Operator Exponential and Applications

I. Gavrilyuk, 2007 .

Operator-Valued Functions of Elliptic Operator

Ivan P. Gavrilyuk, Boris N. Khoromskij, Wolfgang Hackbusch, 2002 .

Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians

Ivan P. Gavrilyuk, Boris N. Khoromskij, B. Khoromskij, 2011, Comput. Methods Appl. Math..

Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space

Ivan P. Gavrilyuk, Volodymyr L. Makarov, T. Yu. Bohonova, 2007, SIAM J. Numer. Anal..

An exponentially convergent algorithm for nonlinear differential equations in Banach spaces

Ivan P. Gavrilyuk, Volodymyr L. Makarov, V. Makarov, 2007, Math. Comput..

Functional-discrete Method (FD-method) for Matrix Sturm-Liouville Problems

V. Makarov, I. Gavrilyuk, B. Bandyrskii, 2005 .

Exponentially Convergent Parallel Discretization Methods for the First Order Evolution Equations

Ivan P. Gavrilyuk, I. Gavrilyuk, Vladimir L. Makarov, 2001 .

Two-dimensional variational vibroequilibria and Faraday’s drops

I. Gavrilyuk, A. Timokha, I. Lukovsky, 2004 .

Analytical velocity potentials for a liquid contacting with a rigid spherical wall

I. Gavrilyuk, A. Timokha, M. Hermann, 2010 .

A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations

Ivan P. Gavrilyuk, Volodymyr L. Makarov, D. Sytnyk, 2009, Comput. Methods Appl. Math..

Fast direct method for solving systems of linear algebraic equations with a block triangular matrix of a variable structure

I. Gavrilyuk, V. Makarov, T. L. Shmanenko, 1982 .

Variational analysis in Sobolev and BV spaces

Ivan P. Gavrilyuk, I. Gavrilyuk, 2007, Math. Comput..

An Explicit Boundary Integral Representation of the Solution of the Two-Dimensional Heat Equation and Its Discretization

Ivan P. Gavrilyuk, Volodymyr L. Makarov, V. Makarov, 2000 .

Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution

Yu. V. Trotsenko, I. Gavrilyuk, A. Timokha, 2014 .

Fast multipole boundary element method

Ivan P. Gavrilyuk, I. Gavrilyuk, 2011, Math. Comput..

Collocation methods for Volterra integral and related functional equations

Ivan P. Gavrilyuk, I. Gavrilyuk, 2006, Math. Comput..

A Method for Solving Initial Value Problems for Linear Differential Equations in Hilbert Space Based on The Cayley Transform

Ivan P. Gavrilyuk, D. Arov, I. Gavrilyuk, 1993 .

The cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in hilbert space

Ivan P. Gavrilyuk, I. Gavrilyuk, Vladimir L. Makarov, 1994 .

Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces

Ivan P. Gavrilyuk, Volodymyr L. Makarov, Alexander Samarskii, 2001, SIAM J. Numer. Anal..

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

Ivan P. Gavrilyuk, Boris N. Khoromskij, Wolfgang Hackbusch, 2003, Math. Comput..

Mathematik in den Naturwissenschaften Leipzig Data-Sparse Approximation to Operator-Valued Functions of Elliptic Operator by

Ivan P. Gavrilyuk, Boris N. Khoromskij, Wolfgang Hackbusch, 2003 .

$\mathcal{H}$-Matrix approximation for the operator exponential with applications

Ivan P. Gavrilyuk, Boris N. Khoromskij, Wolfgang Hackbusch, 2002, Numerische Mathematik.

ℋ-matrix approximation for elliptic solution operators in cylinder domains

Ivan P. Gavrilyuk, Boris N. Khoromskij, Wolfgang Hackbusch, 2001, J. Num. Math..

Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation

Ivan P. Gavrilyuk, Boris N. Khoromskij, B. Khoromskij, 2018, Comput. Methods Appl. Math..

Quantized-TT-Cayley transform to compute dynamics and spectrum of high-dimensional Hamiltonians

Ivan P. Gavrilyuk, Boris N. Khoromskij, B. Khoromskij, 2011 .

Lagrange multiplier approach to variational problems and applications

Ivan P. Gavrilyuk, I. Gavrilyuk, 2010, Math. Comput..

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

Ivan P. Gavrilyuk, Boris N. Khoromskij, Wolfgang Hackbusch, 2004, Math. Comput..

Exact and approximate solutions of some operator equations based on the Cayley transform

Ivan P. Gavrilyuk, I. Gavrilyuk, Vladimir L. Makarov, 1998 .

Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions

Ivan P. Gavrilyuk, Alexander N. Timokha, I. A. Lukovsky, 2006 .

Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers

V. Makarov, I. Gavrilyuk, M. Kutniv, 2006 .

Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces

Ivan P. Gavrilyuk, Volodymyr L. Makarov, V. Makarov, 2005, SIAM J. Numer. Anal..

Two-point difference schemes of an arbitrary given order of accuracy for nonlinear BVPs

Ivan P. Gavrilyuk, Volodymyr L. Makarov, Martin Hermann, 2010, Appl. Math. Lett..

VARIABLE ORDER DIFFERENCE SCHEMES FOR NONLINEAR TWO-POINT BVPs

V. Makarov, I. Gavrilyuk, M. Kutniv, 2005 .

Approximations of the Mittag-Leffler Operator Function with Exponential Accuracy and Their Applications to Solving Evolutionary Equations with Fractional Time Derivative

V. Makarov, I. Gavrilyuk, 2022, Ukrainian Mathematical Journal.

Natural sloshing frequencies in rigid truncated conical tanks

Ivan P. Gavrilyuk, Alexander N. Timokha, Martin Hermann, 2008 .

Collocation methods for Volterra integral and related functional equations

I. Gavrilyuk, 2006, Math. Comput..

SLOSHING IN A CIRCULAR CONICAL TANK

I. Gavrilyuk, A. Timokha, I. Lukovsky, 2001 .

A MULTIMODAL APPROACH TO NONLINEAR SLOSHING IN A CIRCULAR CYLINDRICAL TANK

Ivan P. Gavrilyuk, Alexander N. Timokha, I. A. Lukovsky, 2000 .

Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations

Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko, 2020, Comput. Methods Appl. Math..

Super-Exponentially Convergent Parallel Algorithm for Eigenvalue Problems with Fractional Derivatives

Ivan P. Gavrilyuk, Volodymyr L. Makarov, Lyubomyr I. Demkiv, 2016, Comput. Methods Appl. Math..

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

Ivan P. Gavrilyuk, Volodymyr L. Makarov, V. Makarov, 2004, Math. Comput..

Stability a N D Regularization of Three-level Difference Schemes W Ith U N Bo U N D Ed Operator Coefficients in Banach Spaces*

I. Gavrilyuk, A. A. Samarskil, 2022 .

Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum Efficiency

Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya Rossokhataya, 1999, SIAM J. Appl. Math..

A Two Point Difference Scheme of an Arbitrary Order of Accuracy for BVPS for Systems of First Order Nonlinear Odes

V. Makarov, I. Gavrilyuk, M. Kutniv, 2004 .

A class of fully discrete approximations for the first order differential equations in banach spaces with uniform estimates on the whole of

I. Gavrilyuk, 1999 .

Studying the coupled eigenoscillations of an axisymmetric tower-elevated tank system by the multimodal method

Ivan P. Gavrilyuk, Martin Hermann, Yu. Trotsenko, 2013 .

Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves

Ivan P. Gavrilyuk, Alexander N. Timokha, I. A. Lukovsky, 2007 .

Computer-based multimodal modeling of liquid sloshing in a circular cylindrical tank

I. Gavrilyuk, A. Timokha, I. Lukovsky, 2010 .

Natural Sloshing Frequencies in Truncated Conical Tanks

I. Gavrilyuk, A. Timokha, I. Lukovsky, 2006 .