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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.

Tensors Engineering & Materials Science
Tensor Mathematics
Approximation Mathematics
Tensor Product Mathematics
Linear algebra Mathematics
Triangular matrix Mathematics
High-dimensional Mathematics
Toeplitz matrix Mathematics

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Projects 2017 2019

Research Output 2009 2019

  • 18 Article
  • 2 Conference contribution with ISSN or ISBN

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

Dolgov, S. & Savostyanov, D., 23 Aug 2019, In : Computer Physics Communications. 246, 106869.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
interpolation
Ising model
physics
ferromagnetism
flexibility

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 ISBNConference contribution with ISSN or ISBNResearchpeer-review

Open Access
File
tensors
optimal control
products
quantum computers
workstations
Open Access
Minimal Energy
Matrix Groups
Density Matrix
Renormalization Group
Alternating Direction

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 journalArticleResearchpeer-review

Open Access
File
Fractional Differential Equation
Tensor Product
Tensor
Optimization Problem
Competitiveness

Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions

Dolgov, S. & Savostyanov, D., 25 Sep 2014, In : SIAM Journal on Scientific Computing. 36, 5

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
Linear systems
Tensors
Genes
Experiments

Activities 2015 2019

  • 9 Oral presentation
  • 4 Invited talk
  • 3 External funding peer-review
  • 1 Conference

Tensor product approach to quantum control

Dmitry Savostyanov (Presenter)
26 Sep 201927 Sep 2019

Activity: External talk or presentationOral presentation

File

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

Dmitry Savostyanov (Presenter)
9 Sep 201913 Sep 2019

Activity: External talk or presentationOral presentation

File

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

Dmitry Savostyanov (Presenter)
19 Aug 201923 Aug 2019

Activity: External talk or presentationOral presentation

File

Peer-review of an EPSRC grant application

Dmitry Savostyanov (Reviewer)
1 Aug 2019

Activity: External funding peer-review

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

Dmitry Savostyanov (Presenter)
25 Jun 201928 Jun 2019

Activity: External talk or presentationOral presentation

File