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

815 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2017Show all

9 papers · 1 filter

cond-mat.mes-hall2017★ 10 cited

What makes magnetic skyrmions different from magnetic bubbles ?

Andrei B. Bogatyrëv, Konstantin L. Metlov

A large enough piece of ferromagnet is usually not magnetized uniformly, but develops a magnetization texture. In thin films these textures can be doubly-periodic. Such are the wel…

math.NA2017★ 230 cited

Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives

A. Cichocki, A-H. Phan, Q. Zhao +4

Part 2 of this monograph builds on the introduction to tensor networks and their operations presented in Part 1. It focuses on tensor network models for super-compressed higher-ord…

physics.ao-ph2017★ 15 cited

Eddy energy sources and mesoscale eddies in the Sea of Okhotsk

D. V. Stepanov

Based on an eddy-permitting ocean circulation model, the eddy kinetic energy (EKE) sources are studied in the Sea of Okhotsk. An analysis of the spatial distribution of the EKE sho…

cond-mat.stat-mech2017★ 47 cited

Oscillations in aggregation-shattering processes

S. A. Matveev, P. L. Krapivsky, A. P. Smirnov +2

We observe never-ending oscillations in systems undergoing aggregation and collision-controlled shattering. Specifically, we investigate aggregation-shattering processes with aggre…

math.NA2017★ 18 cited

A quasi-Lagrangian finite element method for the Navier-Stokes equations in a time-dependent domain

Alexander Lozovskiy, Maxim A. Olshanskii, Yuri V. Vassilevski

The paper develops a finite element method for the Navier-Stokes equations of incompressible viscous fluid in a time-dependent domain. The method builds on a quasi-Lagrangian formu…

math.NA2017★ 7 cited

Probabilistic estimation of the rank 1 cross approximation accuracy

Alexander Osinsky

In the construction of low-rank matrix approximation and maximum element search it is effective to use maxvol algorithm. Nevertheless, even in the case of rank 1 approximation the…

math.NA2017

Vico-Greengard-Ferrando quadratures in the tensor solver for integral equations

Valentin Khrulkov, Maxim Rakhuba, Ivan Oseledets

Convolution with Green's function of a differential operator appears in a lot of applications e.g. Lippmann-Schwinger integral equation. Algorithms for computing such are usually n…

math.NA2017

Jacobi-Davidson method on low-rank matrix manifolds

Maxim Rakhuba, Ivan Oseledets

In this work we generalize the Jacobi-Davidson method to the case when eigenvector can be reshaped into a low-rank matrix. In this setting the proposed method inherits advantages o…

physics.comp-ph2017★ 23 cited

A hybrid finite volume -- finite element method for bulk--surface coupled problems

Alexey Y. Chernyshenko, Maxim A. Olshanskii, Yuri V. Vassilevski

The paper develops a hybrid method for solving a system of advection--diffusion equations in a bulk domain coupled to advection--diffusion equations on an embedded surface. A monot…