Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling

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A literature survey of low‐rank tensor approximation techniques (2013, neutral): “…convolution [152]; • computational tasks in electronic structure calculations, e.g., based on Hartree-Fock or DFT models [23,24,31,44,45,47,87,141–146,150,156–159]; • the solution of stochastic and parametric PDEs [68,69,76,77,161,165,171,189,202]; • approximation of Green’s functions of…”
Numerical solution of the Hartree-Fock equation by multilevel tensor-structured methods (2011, unknown): “6.1 Brief summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 6.2 Presentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140”
The tensor product approximation to single-electron systems (2009, methodology): “Recently, tensor product approximation [5, 6, 14, 11] has been applied in electronic structure calculations for efficient computation of Coulomb integrals.”