Ivan Gavrilyuk
Ivan Gavrilyuk
Professor , University of Cooperative Education Eisenach
Потвърден имейл адрес: ba-eisenach.de - Начална страница
ЗаглавиеПозоваванияГодина
-Matrix approximation for the operator exponential with applications
IP Gavrilyuk, W Hackbusch, BN Khoromskij
Numerische Mathematik 92 (1), 83-111, 2002
1062002
Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions
I Gavrilyuk, I Lukovsky, Y Trotsenko, A Timokha
Journal of Engineering Mathematics 54 (1), 71, 2006
822006
Data-sparse approximation to a class of operator-valued functions
I Gavrilyuk, W Hackbusch, B Khoromskij
Mathematics of computation 74 (250), 681-708, 2005
782005
Data-sparse approximation to the operator-valued functions of elliptic operator
I Gavrilyuk, W Hackbusch, B Khoromskij
Mathematics of computation 73 (247), 1297-1324, 2004
772004
Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
IP Gavrilyuk, W Hackbusch, BN Khoromskij
Computing 74 (2), 131-157, 2005
712005
Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces
IP Gavrilyuk, VL Makarov
SIAM Journal on Numerical Analysis 43 (5), 2144-2171, 2005
672005
Exponentially convergent parallel discretization methods for the first order evolution equations
I Gavrilyuk, VL Makarov
Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 1 …, 2001
602001
Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions
IP Gavrilyuk, W Hackbusch, BN Khoromskij
Computing 74, 131-157, 2005
472005
Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach spaces
IP Gavrilyuk, VL Makarov
Zeitschrift für Analysis und ihre Anwendungen 15 (2), 495-527, 1996
431996
Linear and nonlinear sloshing in a circular conical tank
IP Gavrilyuk, IA Lukovsky, AN Timokha
Fluid Dynamics Research 37 (6), 399-429, 2005
412005
Strongly P-positive operators and explicit representations of the solutions of initial value problems for second-order differential equations in Banach space
IP Gavrilyuk
Journal of mathematical analysis and applications 236 (2), 327-349, 1999
341999
A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform
DZ Arov, IP Gavrilyuk
Numerical functional analysis and optimization 14 (5-6), 459-473, 1993
341993
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
IP Gavrilyuk, VL Makarov
Numerical Functional Analysis and Optimization 15 (5-6), 583-598, 1994
321994
Natural sloshing frequencies in rigid truncated conical tanks
I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha
Engineering Computations, 2008
312008
Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves
I Gavrilyuk, I Lukovsky, Y Trotsenko, A Timokha
Journal of Engineering Mathematics 57 (1), 57-78, 2007
312007
Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces
AA Samarskii, IP Gavrilyuk, VL Makarov
SIAM Journal on Numerical Analysis 39 (2), 708-723, 2001
302001
A multimodal approach to nonlinear sloshing in a circular cylindrical tank
IP Gavrilyuk, IA Lukovsky, AN Timokha
Hybrid Methods in Engineering 2 (4), 2000
302000
Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians
I Gavrilyuk, B Khoromskij
Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 11 …, 2011
272011
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces
I Gavrilyuk, V Makarov
Mathematics of Computation 74 (250), 555-583, 2005
232005
ℋ-matrix approximation for elliptic solution operators in cylinder domains
IP Gavrilyuk, W Hackbusch, BN Khoromskij
Journal of Numerical Mathematics 9 (1), 25-58, 2001
222001
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