Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels

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A literature survey of low‐rank tensor approximation techniques (2013, neutral): “Other techniques include applying numerical quadrature to an integral representation of the function, see, e.g., [24, 77, 87, 110, 115], Taylor series expansion [249, 250], and polynomial interpolation [19, 33].”
Superfast Fourier Transform Using QTT Approximation (2012, methodology): “A similar problem was discussed for the representation of Newton/Yukawa potential in canonical format [1], and was solved using the sinc-quadrature from [17], which expresses Fig.”
Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis (2013, background): “2) with the rank-RN canonical tensor PN ∈ R ⊗3 approximating the Newton potential 1 ‖x‖ (see [6, 22] for more details).”
Fast and accurate 3D tensor calculation of the Fock operator in a general basis (2012, methodology): “The latter is designed by using the sinc-quadrature approximation to the Newton potential as in [15].”
Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse (2012, methodology): “The TT and QTT approximations of the inverse Laplace matrix can be obtained through the quadrature techniques suggested in [14, 10, 4].”