Since 2006, I am developing the novel tensor-structured (TS) methods,
in application to electronic structure calculations. (Algorithms and programs
in Matlab.)
The main advantage of the TS methods is the rank-structured grid-based evaluation of the 3D and 6D
convolution integrals (with the Newton potential) in 1D complexity.
Recent topics:
"Black-Box" 3D solver for the Hartree-Fock equation using the tensor-structured methods (2009-2011).
Accurate computation of the Hartree and exchange operators in the Hartree-Fock equation by the
multigrid accelerated tensor-structured techniques (2007-2008).
Tucker tensor approximation of the electron density of large Aluminium clusters (2009-2010).
Low-rank representation of the function related 3D tensors by the full-to-Tucker +
Tucker-to-canonical transfrom.
Robust 3D tensor rank reduction method by the multigrid canonical-to-Tucker +
Tucker-to-canonical transform,
in 1D complexity.(2007-2008)
Tucker decomposition of function related 3D tensors (2006).
