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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

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.

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 2015

  • 17 Article
  • 1 Conference contribution with ISSN or ISBN
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

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, 8

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
Tensors
Nuclear magnetic resonance
Proteins
Hamiltonians
Linear systems

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 journalArticleResearchpeer-review

Open Access
File
Triangular matrix
Toeplitz matrix
Fundamental Matrix
Decay
Inverse matrix

Activities 2015 2019

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

Numerical algorithms for high-performance computational science

Dmitry Savostyanov (Presenter)
8 Apr 20199 Apr 2019

Activity: External talk or presentationOral presentation

Peer-review of an MRC Fellowship application

Dmitry Savostyanov (Reviewer)
28 Jan 2019

Activity: External funding peer-review

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

Dmitry Savostyanov (Presenter)
23 May 201924 May 2019

Activity: External talk or presentationOral presentation

HPC and Quantum Summit

Dmitry Savostyanov (Participant)
5 Feb 2019

Activity: EventsConference

Tensor--product interpolation for high--dimensional integration

Dmitry Savostyanov (Presenter)
16 Jul 201820 Jul 2018

Activity: External talk or presentationOral presentation

File