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Tensor-Structured Numerical Methods in High-Dimensional Scientific Computing
Fast and robust numerical multi-linear algebra based on the low-rank Tucker, canonical, Tensor Train and mixed tensor formats.
ALS and DMRG optimization on tensor manifolds.
Efficient approximation of multivariate functions in Quantics Tensor Train (QTT), QTT-Tucker and other Tensor Network formats.
Tensor-product approximation of multi-dimensional differential-integral operators, operator-valued functions , e-tA, A-1 , the convolution product and Green's functions in Rd , d >= 3 .
Tensor-structured numerical methods for
the Hartree-Fock and post Hartree-Fock models,
molecular Schroedinger equation,
the Fokker-Planck multiconfiguration dynamics,
multi-dimensional FEMs and stochastic PDEs.
Fast and robust numerical multi-linear algebra based on the low-rank Tucker, canonical, Tensor Train and mixed tensor formats.
ALS and DMRG optimization on tensor manifolds.
Efficient approximation of multivariate functions in Quantics Tensor Train (QTT), QTT-Tucker and other Tensor Network formats.
Tensor-product approximation of multi-dimensional differential-integral operators, operator-valued functions , e-tA, A-1 , the convolution product and Green's functions in Rd , d >= 3 .
Tensor-structured numerical methods for
the Hartree-Fock and post Hartree-Fock models,
molecular Schroedinger equation,
the Fokker-Planck multiconfiguration dynamics,
multi-dimensional FEMs and stochastic PDEs.
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arXiv (Cornell University) (2021)
Computational Mathematics and Mathematical Physicsno. 5 (2021): 864-886
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