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Tensor-product approximation provides a convenient tool for efficient numerical treatment of high dimensional problems that arise, in particular, in electronic structure calculations in
The novelty of the approach lies on the heuristic optimization of the quadrature parameters that allow to reduce dramatically the initial tensor rank obtained by the standard sinc-quadratures. The numerical experiments show that this approach gives almost optimal tensor ranks in 3D computations on large spatial grids and with linear complexity in the univariate grid size.
This scheme becomes attractive for the multiple calculation of the Yukawa potential when the exponents in gaussian functions vary during the computational process.