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On approximation of functions by exponential sums

✍ Scribed by Gregory Beylkin; Lucas Monzón


Book ID
118415277
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
341 KB
Volume
19
Category
Article
ISSN
1063-5203

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Asymptotics for the Approximation of Wav
✍ D. Braess 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 285 KB

When studying the approximation of the wave functions of the \(H\)-atom by sums of Gaussians, Klopper and Kutzelnigg [KK] and Kutzelnigg [Ku] found an asymptotic of \(\exp [-\gamma \sqrt{n}]\). The results were obtained from numerical results and justified by some asymptotic expansions in quadrature