Peer-reviewed articles

[1]   Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. J. Comp. Phys., 334:221 – 239, 2017. (With P. Benner, V. Khoromskaia and B. N. Khoromskij)

[2]   Low-rank solution to an optimization problem constrained by the Navier–Stokes equations. SIAM J. Sci. Comput., 39(1):A255–A280, 2017. (With M. Stoll)

[3]   Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data. Computer Methods in Applied Mechanics and Engineering, 304:26–54, 2016. (With P. Benner, A. Onwunta and M. Stoll)

[4]   Fast tensor product solvers for optimization problems with fractional differential equations as constraints. Applied Mathematics and Computation, 273:604 – 623, 2016. (With J. W. Pearson, D. V. Savostyanov and M. Stoll)

[5]   Simultaneous state-time approximation of the chemical master equation using tensor product formats. Numer. Linear Algebra Appl., 22(2):197–219, 2015. (With B. Khoromskij)

[6]   Polynomial Chaos Expansion of random coefficients and the solution of stochastic partial differential equations in the Tensor Train format. SIAM J. Uncertainty Quantification, 3(1):1109–1135, 2015. (With B. N. Khoromskij, A. Litvinenko and H. G. Matthies)

[7]   On evolution of solution times for the chemical master equation of the enzymatic futile cycle. Russian Journal of Numerical Analysis and Mathematical Modelling, 30(1):37–42, 2015. (With E. Tyrtyshnikov)

[8]   Corrected one-site density matrix renormalization group and alternating minimal energy algorithm. In Numerical Mathematics and Advanced Applications — ENUMATH 2013, volume 103, pages 335–343, 2015. (With D. V. Savostyanov)

[9]   Computation of extreme eigenvalues in higher dimensions using block tensor train format. Computer Phys. Comm., 185(4):1207–1216, 2014. (With B. N. Khoromskij, I. V. Oseledets and D. V. Savostyanov)

[10]   Alternating minimal energy methods for linear systems in higher dimensions. SIAM J. Sci. Comput., 36(5):A2248–A2271, 2014. (With D. V. Savostyanov)

[11]   Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma. J. Comp. Phys., 263:268–282, 2014. (With A. P. Smirnov and E. E. Tyrtyshnikov)

[12]   Exact NMR simulation of protein-size spin systems using tensor train formalism. Phys. Rev. B, 90:085139, 2014. (With D. V. Savostyanov, J. M. Werner and I. Kuprov)

[13]   Two-level QTT-Tucker format for optimized tensor calculus. SIAM J. on Matrix An. Appl., 34(2):593–623, 2013. (With B. Khoromskij)

[14]   TT-GMRES: solution to a linear system in the structured tensor format. Russ. J. Numer. Anal. Math. Model., 28(2):149–172, 2013.

[15]   Superfast Fourier transform using QTT approximation. J. Fourier Anal. Appl., 18(5):915–953, 2012. (With B. N. Khoromskij and D. V. Savostyanov)

[16]   Fast solution of multi-dimensional parabolic problems in the tensor train/quantized tensor train–format with initial application to the Fokker-Planck equation. SIAM J. Sci. Comput., 34(6):A3016–A3038, 2012. (With B. N. Khoromskij and I. V. Oseledets)

[17]   Low-rank tensor structure of solutions to elliptic problems with jumping coefficients. J. Comput. Math., 30(1):14–23, 2012. (With B. N. Khoromskij, I. V. Oseledets and E. E. Tyrtyshnikov)

[18]   A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients. Linear Algebra Appl., 436(9):2980–3007, 2012. (With B. N. Khoromskij, I. V. Oseledets and E. E. Tyrtyshnikov)

[19]   Solution of linear systems and matrix inversion in the TT-format. SIAM J. Sci. Comput., 34(5):A2718–A2739, 2012. (With I. V. Oseledets)

Preprints