Body-ordered Approximations of Atomic Properties

Talk and group meeting

Body-ordered approximations, polynomial approximation and interpolation nodes.
Talk
Seminar
Group Meeting
Author

Jack Thomas

Published

October 2023

Given at:

Group meeting (September 2025)

Equispaced nodes

Chebyshev nodes

 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:

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

Journée de rentrée de l’équipe, IHES (October 2023)

[open fullscreen]

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.