output
20062026
most citedUnifying time evolution and optimization with matrix product states

815 citations

100 papers

math.FA2026

On circular Kippenhahn curves and the Gau-Wang-Wu conjecture about nilpotent partial isometries

Eric Shen

We study linear operators on a finite-dimensional space whose Kippenhahn curves consist of concentric circles centered at the origin. We say that such operators have Circularity pr…

math.NA2024

Accelerated alternating minimization algorithm for low-rank approximations in the Chebyshev norm

Stanislav Morozov, Dmitry Zheltkov, Alexander Osinsky

Nowadays, low-rank approximations of matrices are an important component of many methods in science and engineering. Traditionally, low-rank approximations are considered in unitar…

math.NA2024★ 1 cited

Adaptive time-stepping for aggregation-shattering kinetics

Sergey A. Matveev, Viktor Zhilin, Alexander P. Smirnov

We propose an experimental study of adaptive time-stepping methods for efficient modeling of the aggregation-fragmentation kinetics. Precise modeling of this phenomena usually requ…

cond-mat.mes-hall2024★ 1 cited

Small-angle neutron scattering signatures of magnetic hopfions

Konstantin L. Metlov, Andreas Michels

Magnetic hopfions are three-dimensional localized magnetic topological solitons which can exist in the bulk of magnetic materials. Based on a Ritz model for magnetic hopfions in a…

math.NA2024

Estimates for the quantized tensor train ranks for the power functions

Sergey A. Matveev, Matvey Smirnov

In this work we provide theoretical estimates for the ranks of the power functions , in the quantized tensor train (QTT) format for $k = 1, 2, 3, \ldots, 2^{d}…

math.NA2024★ 5 cited

Nonnegative tensor train for the multicomponent Smoluchowski equation

Sergey A. Matveev, Ilya Tretyak

We propose an efficient implementation of the numerical tensor-train (TT) based algorithm solving the multicomponent coagulation equation preserving the nonnegativeness of solution…

cond-mat.stat-mech2024★ 2 cited

Gelation in input-driven aggregation

P. L. Krapivsky, Sergey A. Matveev

We investigate irreversible aggregation processes driven by a source of small mass clusters. In the spatially homogeneous situation, a well-mixed system is consists of clusters of…

cond-mat.stat-mech2023★ 4 cited

Hydrodynamic equations for space-inhomogeneous aggregating fluids with first-principle kinetic coefficients

Alexander Osinsky, Nikolay Brilliantov

We derive from the first principles new hydrodynamic equations -- Smoluchowski-Euler equations for aggregation kinetics in space-inhomogeneous fluids with fluxes. Starting from Bol…

math.NA2023★ 4 cited

Parametric Finite Element Discretization of the Surface Stokes Equations

Hanne Hardering, Simon Praetorius

We study a higher-order surface finite element (SFEM) penalty-based discretization of the tangential surface Stokes problem. Several discrete formulations are investigated which ar…

cond-mat.stat-mech2023★ 7 cited

Finite Size Effects in Addition and Chipping Processes

Roman R. Dyachenko, Sergey A. Matveev, P. L. Krapivsky

We investigate analytically and numerically a system of clusters evolving via collisions with clusters of minimal mass (monomers). Each collision either leads to the addition of th…

cond-mat.stat-mech2023★ 23 cited

Steady oscillations in aggregation-fragmentation processes

N. V. Brilliantov, W. Otieno, S. A. Matveev +3

We report surprising steady oscillations in aggregation-fragmentation processes. Oscillating solutions are observed for the class of aggregation kernels …

nlin.CD2023★ 10 cited

Heterogeneity of the Attractor of the Lorenz '96 Model: Lyapunov Analysis, Unstable Periodic Orbits, and Shadowing Properties

Chiara Cecilia Maiocchi, Valerio Lucarini, Andrey Gritsun +1

The predictability of weather and climate is strongly state-dependent: special and extremely relevant atmospheric states like blockings are associated with anomalous instability. I…

physics.ao-ph2023★ 12 cited

Subgrid parameterizations of ocean mesoscale eddies based on Germano decomposition

Pavel Perezhogin, Andrey Glazunov

Ocean models at intermediate resolution (1/4 degree), which partially resolve mesoscale eddies, can be seen as Large eddy simulations (LES) of the primitive equations, in which the…

cond-mat.mes-hall2023★ 7 cited

Fingerprint of vortex-like flux closure in isotropic Nd-Fe-B bulk magnet

Mathias Bersweiler, Yojiro Oba, Evelyn Pratami Sinaga +5

Taking advantage of recent progress in neutron instrumentation and in the understanding of magnetic-field-dependent small-angle neutron scattering, here, we study the three-dimensi…

cond-mat.mes-hall2023★ 3 cited

Topological magnetic memory with multiply-connected planar magnetic nanoelements

Konstantin L. Metlov

A coding scheme is introduced, allowing to store a set of linked bit strings in planar magnetic nanoelements with holes. Analytical expressions for the corresponding magnetization…

math.NA2022★ 7 cited

Exponential Euler and backward Euler methods for nonlinear heat conduction problems

M. A. Botchev, V. T. Zhukov

In this paper a variant of nonlinear exponential Euler scheme is proposed for solving nonlinear heat conduction problems. The method is based on nonlinear iterations where at each…

cond-mat.stat-mech2022★ 3 cited

Exact solutions of temperature-dependent Smoluchowski equations

Alexander Osinsky, Nikolay Brilliantov

We report a number of exact solutions for temperature-dependent Smoluchowski equations. These equations quantify the ballistic agglomeration, where the evolution of densities of ag…

math.FA2022

Completion procedures in measure theory

A. G. Smirnov, M. S. Smirnov

We propose a unified treatment of extensions of group-valued contents (i.e., additive set functions defined on a ring) by means of adding new null sets. Our approach is based on th…

physics.flu-dyn2022★ 4 cited

A hyper-parameterization method for comprehensive ocean models: Advection of the image point

Igor Shevchenko, Pavel Berloff

Idealized and comprehensive ocean models at low resolutions cannot reproduce nominally-resolved flow structures similar to those presented in the high-resolution solution. Although…

math.NA2022★ 15 cited

Low-rank nonnegative tensor approximation via alternating projections and sketching

Azamat Sultonov, Sergey Matveev, Stanislav Budzinskiy

We show how to construct nonnegative low-rank approximations of nonnegative tensors in Tucker and tensor train formats. We use alternating projections between the nonnegative ortha…

cs.LG2022★ 1 cited

Variational Bayesian inference for CP tensor completion with side information

Stanislav Budzinskiy, Nikolai Zamarashkin

We propose a message passing algorithm, based on variational Bayesian inference, for low-rank tensor completion with automatic rank determination in the canonical polyadic format w…

math.CV2022

On the solution of a conformal mapping problem by means of Weierstrass functions

Matvey Smirnov

The conformal mapping problem for the section of a channel filled with porous material under a rectangular dam onto the upper half-plane is considered. Similar problems arise in co…

cond-mat.mes-hall2022★ 4 cited

Two types of metastable magnetic hopfions

Konstantin L. Metlov

Localized magnetic topological solitons with Hopf index of 1 in an unbounded bulk magnet are studied theoretically, starting with the classical micromagnetic Hamiltonian. It is sho…

cond-mat.mes-hall2022★ 9 cited

Small-angle neutron scattering by spatially inhomogeneous ferromagnets with a nonzero average uniaxial anisotropy

V. D. Zaporozhets, Y. Oba, A. Michels +1

Micromagnetic small-angle neutron scattering theory is well established for analyzing spin-misalignment scattering data of bulk ferromagnets. Here, this theory is extended to allow…