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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.

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 Product Mathematics
Tensor Mathematics
Multilinear Algebra Mathematics
High-dimensional Mathematics
Linear systems Engineering & Materials Science
Matrix Analysis Mathematics
nuclear magnetic resonance Physics & Astronomy

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Projects 2017 2019

Tensor product algorithms for quantum control problems

Savostyanov, D.

1/10/1731/03/19

Project: GrantResearch

Research Output 2013 2015

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

Dolgov, S., Pearson, J., Savostyanov, D. & Stoll, M. 12 Nov 2015 273, p. 604-623 20 p.

Research output: Contribution to journalArticle

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 36, 5

Research output: Contribution to journalArticle

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 90, 8

Research output: Contribution to journalArticle

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 35, 4, p. 1288-1302 15 p.

Research output: Contribution to journalArticle

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

Quantum mechanical NMR simulation algorithm for protein-size spin systems

Edwards, L., Savostyanov, D., Welderufael, Z., Lee, D. & Kuprov, I. 18 Apr 2014 243, p. 107-113 7 p.

Research output: Contribution to journalArticle

Open Access
File
proteins
nuclear spin
nuclear magnetic resonance
simulation
physical chemistry