Khoromskij, Boris N.

1. Tensor Numerical Methods for High-dimensional PDEs: Basic Theory and\n Initial Applications
   2014/08/18 by Boris N. Khoromskij, Khoromskij, Boris N. · 6 citations
   Computer Science · Mathematics · Physics and Astronomy · #65F10 #65F30 #65F50 #65N35 #Black Holes and Theoretical Physics #Computational Physics and Python Applications #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Tensor decomposition and applications
2. Polynomial Chaos Expansion of random coefficients and the solution of\n stochastic partial differential equations in the Tensor Train format
   2015/03/11 by Sergey Dolgov, Dolgov, Sergey, Boris N. Khoromskij +5 · 3 citations
   Decision Sciences · Environmental Science · Mathematics · Physics and Astronomy · #15A69 #60H15 #60H35 #65C30 #65F10 #FOS: Mathematics #Hydrology and Drought Analysis #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Tensor decomposition and applications #Wind and Air Flow Studies
3. Numerical study in stochastic homogenization for elliptic PDEs: convergence rate in the size of representative volume elements
   2019/03/28 by Venera Khoromskaia, Khoromskaia, Venera, Boris N. Khoromskij +3 · 2 citations
   Computer Science · Engineering · #65F10 #65F30 #65F50 #65N35 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)
4. Range-separated tensor formats for numerical modeling of many-particle interaction potentials
   2016/06/29 by Peter Benner, Benner, Peter, Venera Khoromskaia +3 · 3 citations
   Mathematics · Physics and Astronomy · Medicine · #Tensor decomposition and applications #Electromagnetic Scattering and Analysis #Advanced Neuroimaging Techniques and Applications
5. Tensor-based techniques for fast discretization and solution of 3D\n elliptic equations with random coefficients
   2020/07/10 by Venera Khoromskaia, Boris N. Khoromskij, Khoromskaia, Venera +1 · 1 citation
   Computer Science · Engineering · Physics and Astronomy · #65F10 #65F30 #65F50 #65N35 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #Electromagnetic Scattering and Analysis #FOS: Mathematics #Numerical Analysis (math.NA) #Scientific Research and Discoveries