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, 71-88, 2006 | 125 | 2006 |
-Matrix approximation for the operator exponential with applications IP Gavrilyuk, W Hackbusch, BN Khoromskij Numerische Mathematik 92 (1), 83-111, 2002 | 115 | 2002 |
Data-sparse approximation to a class of operator-valued functions I Gavrilyuk, W Hackbusch, B Khoromskij Mathematics of computation 74 (250), 681-708, 2005 | 91 | 2005 |
Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems IP Gavrilyuk, W Hackbusch, BN Khoromskij Computing 74, 131-157, 2005 | 89 | 2005 |
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 | 87 | 2004 |
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 | 77 | 2005 |
Exponentially convergent parallel discretization methods for the first order evolution equations I Gavrilyuk, VL Makarov Computational Methods in Applied Mathematics 1 (4), 333-355, 2001 | 72 | 2001 |
Linear and nonlinear sloshing in a circular conical tank IP Gavrilyuk, IA Lukovsky, AN Timokha Fluid Dynamics Research 37 (6), 399-429, 2005 | 66 | 2005 |
Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions IP Gavrilyuk, W Hackbusch, BN Khoromskij Computing 74, 131-157, 2005 | 53 | 2005 |
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 | 51 | 1996 |
Natural sloshing frequencies in rigid truncated conical tanks I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha Engineering Computations 25 (6), 518-540, 2008 | 46 | 2008 |
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 | 46 | 1999 |
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 | 46 | 1993 |
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, 57-78, 2007 | 44 | 2007 |
Exact and truncated difference schemes for boundary value ODEs I Gavrilyuk, M Hermann, V Makarov, MV Kutniv Springer Science & Business Media, 2011 | 41 | 2011 |
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 | 41 | 1994 |
Exponentially convergent algorithms for abstract differential equations I Gavrilyuk, V Makarov, V Vasylyk Springer Science & Business Media, 2011 | 40 | 2011 |
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 | 36 | 2001 |
Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians I Gavrilyuk, B Khoromskij Computational methods in applied mathematics 11 (3), 273-290, 2011 | 33 | 2011 |
A multimodal approach to nonlinear sloshing in a circular cylindrical tank IP Gavrilyuk, IA Lukovsky, AN Timokha Hybrid Methods in Engineering 2 (4), 2000 | 33 | 2000 |