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, Russian Academy of Sciences

Master, Moscow Institute of Physics and Technology

Bachelor, Moscow Institute of Physics and Technology

## Fingerprint Dive into the research topics where Dmitry Savostyanov is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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## Projects 2017 2019

- 1 Finished

## Research Output 2009 2019

## Tensor Product Approach to Quantum Control

Quinones Valles, D. A., Dolgov, S. & Savostyanov, D., 19 Jul 2019,*Integral Methods in Science and Engineering.*Constanda, C. & Harris, P. J. (eds.). Birkhäuser, p. 367-379

Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › Research › peer-review

## 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

## Activities 2015 2019

## Numerical algorithms for high-performance computational science

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

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

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

## Parallel cross interpolation for high-precision computation of high-dimensional integrals

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

## Parallel cross interpolation for high-precision calculation of high-dimensional integrals

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

## Peer-review of an EPSRC grant application

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