Body-ordered approximations of atomic properties

Based on Thomas, Chen, Ortner, 2022

Group Meeting
Talk
Published

September 19, 2025

Equispaced nodes

[ Info: Saved animation to C:\Users\jack6\Documents\Group Meetings\equispaced.gif

Chebyshev nodes

[ Info: Saved animation to C:\Users\jack6\Documents\Group Meetings\Chebyshev.gif

 plt3 = plot( 2:N, err[2:N], marker=:circle, yaxis=:log, title="absolute error: Chebyshev", legend=false)

What about approximation on \([-1, a] \cup [b, 1]\)?

Leja points:

[ Info: Saved animation to C:\Users\jack6\Documents\Group Meetings\Leja_nodes.gif

[ Info: Saved animation to C:\Users\jack6\Documents\Group Meetings\Leja.gif

plot( 1:N, err, marker=:circle, yaxis=:log, title="absolute error: Leja", legend=false)

References

Thomas, Jack, Huajie Chen, and Christoph Ortner. 2022. “Body-Ordered Approximations of Atomic Properties.” Archive for Rational Mechanics and Analysis 246 (1): 1–60. https://doi.org/10.1007/s00205-022-01809-w.