Projects per year

## Personal profile

### Research interests

Numerical analysis, linear and multilinear algebra, matrix and tensor analysis, fast algorithms, tensor product formats, dynamical problems, stochastic models

### Education/Academic qualification

Mathematics, Doctor rerum naturalium, University of Leipzig

30 Jun 2011 → 20 Aug 2014

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

- 6 Similar Profiles

Tensors
Engineering & Materials Science

Tensor Product
Mathematics

Tensor Decomposition
Mathematics

Tensor
Mathematics

High-dimensional
Mathematics

Model Order Reduction
Mathematics

Minimal Energy
Mathematics

Chemotaxis
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2016 2018

- 1 Finished

### Tensor product numerical methods for high-dimensional problems in probability and quantum calculations

1/01/16 → 31/12/18

Project: Research council

## Research Output 2014 2018

### A hybrid Alternating Least Squares - TT Cross algorithm for parametric PDEs

Dolgov, S. & Scheichl, R., 26 Dec 2018, (Accepted/In press) In : SIAM/ASA Journal on Uncertainty Quantification. 28 p.Research output: Contribution to journal › Article

Open Access

File

Tensors

Maximum entropy methods

Probability density function

Mathematical operators

Decomposition

1
Citation
(Scopus)

### A Tensor Decomposition Algorithm for Large ODEs with Conservation Laws

Dolgov, S. V., 11 Sep 2018, In : Computational Methods in Applied Mathematics.Research output: Contribution to journal › Article

Open Access

Tensor Decomposition

Decomposition Algorithm

Conservation Laws

Tensors

Conservation

### Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients

Dolgov, S. V., Kazeev, V. A. & Khoromskij, B. N., 1 Mar 2018, In : Mathematics and Computers in Simulation. 145, p. 136-155 20 p.Research output: Contribution to journal › Article

Direct Product

Elliptic Equations

Tensor Product

Tensors

Tensor

6
Citations
(Scopus)

### Fast iterative solution of the Bethe–Salpeter eigenvalue problem using low-rank and QTT tensor approximation

Benner, P., Dolgov, S., Khoromskaia, V. & Khoromskij, B. N., 1 Apr 2017, In : Journal of Computational Physics. 334, p. 221-239 19 p.Research output: Contribution to journal › Article

Open Access

File

iterative solution

Bethe-Salpeter equation

Tensors

eigenvalues

tensors

### Low-rank solution to an optimization problem constrained by the Navier-Stokes equations

Dolgov, S. & Stoll, M., 2017, In : SIAM Journal on Scientific Computing. 39, 1, p. A255-A280Research output: Contribution to journal › Article

Open Access

File

Model Order Reduction

Constrained Optimization Problem

Navier Stokes equations

Navier-Stokes Equations

PDE-constrained Optimization