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- W3039496328 abstract "Modern density functional approximations achieve moderate accuracy at low computational cost for many electronic structure calculations. Some background is given relating the gradient expansion of density functional theory to the WKB expansion in one dimension, and modern approaches to asymptotic expansions. A mathematical framework for analyzing asymptotic behavior for the sums of energies unites both corrections to the gradient expansion of DFT and hyperasymptotics of sums. Simple examples are given for the model problem of orbital-free DFT in one dimension. In some cases, errors can be made as small as 10$^{-32}$ Hartree suggesting that, if these new ingredients can be applied, they might produce approximate functionals that are much more accurate than those in current use. A variation of the Euler-Maclaurin formula generalizes previous results." @default.
- W3039496328 created "2020-07-10" @default.
- W3039496328 creator A5082307304 @default.
- W3039496328 date "2020-01-01" @default.
- W3039496328 modified "2023-09-23" @default.
- W3039496328 title "Deriving approximate functionals with asymptotics" @default.
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- W3039496328 doi "https://doi.org/10.1039/d0fd00057d" @default.
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