Search Results - "Tyrtyshnikov, E.E."

A fast numerical method for the Cauchy problem for the Smoluchowski equation by Matveev, S.A., Smirnov, A.P., Tyrtyshnikov, E.E.

“…A new solution technique is proposed for one-dimensional Smoluchowski equations. It is based on the finite-difference predictor–corrector scheme and is faster…”
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Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation–fragmentation models by Matveev, S.A., Stadnichuk, V.I., Tyrtyshnikov, E.E., Smirnov, A.P., Ampilogova, N.V., Brilliantov, N.V.

“…A fast numerical method of finding steady-state distributions of particles sizes for a wide class of aggregation–fragmentation models, including the models…”
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Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations by Timokhin, I.V., Matveev, S.A., Siddharth, N., Tyrtyshnikov, E.E., Smirnov, A.P., Brilliantov, N.V.

“…An efficient implementation of the Newton–Krylov iterative method finding numerical solutions of aggregation–fragmentation equations without spontaneous…”
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Low-rank approximation in the numerical modeling of the Farley–Buneman instability in ionospheric plasma by Dolgov, S.V., Smirnov, A.P., Tyrtyshnikov, E.E.

“…We consider numerical modeling of the Farley–Buneman instability in the Earth's ionosphere plasma. The ion behavior is governed by the kinetic Vlasov equation…”
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Oscillating stationary distributions of nanoclusters in an open system by Matveev, S. A, Sorokin, A. A, Smirnov, A. P, Tyrtyshnikov, E.E.

“…Steady-state oscillations of nanoparticle populations in the system of colliding monomers and seed-clusters are observed for the range of the seed-cluster…”
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On Algebras of Hankel Circulants and Hankel Skew-Circulants by Tyrtyshnikov, E. E., Chugunov, V. N.

“…A parametrization of all the maximal algebras of Hankel circulants and Hankel skew-circulants is presented. Bibliography: 2 titles…”
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Optimal rank matrix algebras preconditioners by Tudisco, F., Di Fiore, C., Tyrtyshnikov, E.E.

“…When a linear system Ax=y is solved by means of iterative methods (mainly CG and GMRES) and the convergence rate is slow, one may consider a preconditioner P…”
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Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation by Botchev, M.A., Oseledets, I.V., Tyrtyshnikov, E.E.

“…The aim of this paper is two-fold. First, we propose an efficient implementation of the continuous time waveform relaxation (WR) method based on block Krylov…”
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A theory of pseudoskeleton approximations by Goreinov, S.A., Tyrtyshnikov, E.E., Zamarashkin, N.L.

“…Let an m × n matrix A be approximated by a rank- r matrix with an accuracy ε. We prove that it is possible to choose r columns and r rows of A forming a…”
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Optimal in-place transposition of rectangular matrices by Tretyakov, A.A., Tyrtyshnikov, E.E.

“…Given a rectangular m × n matrix stored as a two-dimensional array, we want to transpose it in place and measure the cost by the number of memory writes and…”
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Spectra of multilevel toeplitz matrices: Advanced theory via simple matrix relationships by Tyrtyshnikov, E.E., Zamarashkin, N.L.

“…We consider the eigenvalue and singular-value distributions for m-level Toeplitz matrices generated by a complex-valued periodic function ƒ of m real…”
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Toeplitz eigenvalues for Radon measures by Tyrtyshnikov, E.E., Zamarashkin, N.L.

“…It is well known that for Toeplitz matrices generated by a “sufficiently smooth” real-valued symbol, the eigenvalues behave asymptotically as the values of the…”
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Circulant preconditioners with unbounded inverses by Tyrtyshnikov, E.E.

“…The eigenvalue and singular-value distributions for matrices S −1 n A n and C −1 n A n are examined, where A n , S n , and C n are Toeplitz matrices, simple…”
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A general equidistribution theorem for the roots of orthogonal polynomials by Tyrtyshnikov, E.E., Zamarashkin, N.L.

“…It is well-known that the roots of any two orthogonal polynomials are distributed equally if the weights satisfy the Szegő condition. In this paper, we propose…”
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Thin structure of eigenvalue clusters for non-Hermitian Toeplitz matrices by Tyrtyshnikov, E.E., Zamarashkin, N.L.

“…In contrast to the Hermitian case, the “unfair behavior” of non-Hermitian Toeplitz eigenvalues is still to be unravelled. We propose a general technique for…”
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Clusters, preconditioners, convergence by Tyrtyshnikov, E.E., Yeremin, A.Yu, Zamarashkin, N.L.

“…We present a technique that relates the existence of a cluster of singular values to the existence of a cluster of eigenvalues. We also analyze some…”
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