Accurate calculation of the solutions to the Thomas–Fermi equations
作者：
Highlights：
•
摘要
We obtain highly accurate solutions to the Thomas–Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé–Hankel method, numerical integration, power series with Padé and Hermite–Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.
论文关键词：Thomas–Fermi equations,Critical slope,Singular points,Hankel–Padé method,Power series,Padé approximants,Hermite–Padé approximants,Chebyshev polynomials
论文评审过程：Available online 17 February 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.01.137
