Zeta Expansion for Long-Range Interacting Lattice Systems

Venue
Swiss Numerics Day, ETH Zürich
Type
Poster
Location
Zürich, Switzerland
Date

References

  1. Buchheit, A. A., Busse, J. K., & Gutendorf, R. (2026). Computation and properties of the Epstein zeta function with applications to quantum systems. IMA Journal of Numerical Analysis. DOI: 10.1093/imanum/drag057
  2. Buchheit, A. A., Busse, J. K., Keßler, T., & Rybakov, F. N. (2026). Zeta Expansion for Long-Range Interactions under Periodic Boundary Conditions with Applications to Micromagnetics. Journal of Computational Physics. DOI: 10.1016/j.jcp.2026.114885
  3. Buchheit, A. A., & Busse, J. K. (2026). Epstein zeta method for many-body lattice sums. Numerische Mathematik. DOI: 10.1007/s00211-026-01558-y
  4. Robles-Navarro, A., Cooper, S., Buchheit, A. A., Busse, J. K., Burrows, A., Smits, O., & Schwerdtfeger, P. (2025). Exact lattice summations for Lennard-Jones potentials coupled to a three-body Axilrod-Teller-Muto term applied to cuboidal phase transitions. Journal of Chemical Physics. DOI: 10.1063/5.0276677
  5. Buchheit, A. A., Busse, J. K., Gutendorf, R., & Schmitz, J. (2024). EpsteinLib: Fast and Efficient Computation of the Epstein Zeta Function. GitHub. github.com/epsteinlib/epsteinlib