Projects per year

## Personal profile

### Research interests

I develop efficient algorithms for high--dimensional problems using low-rank tensor product approximations, linear and multilinear algebra, matrix analysis, and other methods of modern numerical mathematics.

### Supervisory Interests

I am happy to supervise a project involving numerical methods in a variety of areas, such as quantum control, stochastics and uncertainty quantification, Bayesian analysis, and anything which involves high-dimensional problems.

### Education/Academic qualification

PhD

Master, Moscow Institute of Physics and Technology

Bachelor, Moscow Institute of Physics and Technology

## 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.

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## Projects 2017 2019

- 1 Finished

## Research Output 2009 2015

## Corrected one-site density matrix renormalization group and alternating minimal energy algorithm

Dolgov, S. V. & Savostyanov, D. V., 1 Jan 2015, In : Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering. 103, p. 335-343 9 p.Research output: Contribution to journal › Article › Research › peer-review

## Fast tensor product solvers for optimization problems with fractional differential equations as constraints

Dolgov, S., Pearson, J., Savostyanov, D. & Stoll, M., 12 Nov 2015, In : Applied Mathematics and Computation. 273, p. 604-623 20 p.Research output: Contribution to journal › Article › Research › peer-review

## Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions

Dolgov, S. & Savostyanov, D., 25 Sep 2014, In : SIAM Journal on Scientific Computing. 36, 5Research output: Contribution to journal › Article › Research › peer-review

## Exact NMR simulation of protein-size spin systems using tensor train formalism

Savostyanov, D., Dolgov, S., Werner, J. & Kuprov, I., 15 Aug 2014, In : Physical Review B. 90, 8Research output: Contribution to journal › Article › Research › peer-review

## On the Decay of the Elements of Inverse Triangular Toeplitz Matrices

Ford, N., Savostyanov, D. & Zamarashkin, N., 28 Oct 2014, In : SIAM Journal on Matrix Analysis and Applications. 35, 4, p. 1288-1302 15 p.Research output: Contribution to journal › Article › Research › peer-review

## Activities 2015 2019

## Numerical algorithms for high-performance computational science

Dmitry Savostyanov (Presenter)Activity: External talk or presentation › Oral presentation

## Peer-review of an MRC Fellowship application

Dmitry Savostyanov (Reviewer)Activity: External funding peer-review

## Low-rank interpolation of tensors for high-precision calculation of high-dimensional integrals

Dmitry Savostyanov (Presenter)Activity: External talk or presentation › Oral presentation

## Tensor--product interpolation for high--dimensional integration

Dmitry Savostyanov (Presenter)Activity: External talk or presentation › Oral presentation