Ewald's Method Revisited: Rapidly Convergent Series Representations of Certain Green's Functions

Journal of Computational Analysis and Applications

Volumn 1, Issue 1, 1999, Pages 105-114

  Papanicolaou, Vassilis G ^a  

^a WICHITA STATE UNIVERSITY   (United States)

Author keywords

Ewald's method; Green's function; Helmholtz equation

Indexed keywords

EID: 0009290672     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022622721152     Document Type: Review

References (3)

1. P. P. Ewald, Die berechnung optischer und electrostatischer gitterpotentiale, Ann. Phys. 64, 253-287 (1921); translated by A. Cornell, Atomics International Library, 1964.
2. K. E. Jordan, G. R. Richter, and P. Sheng, An efficient numerical evaluation of the Green's function for the Helmholtz operator on periodic structures, J. Comput. Phys. 63, 222-235 (1986).
3. Y. Katznelson, An Introduction to Harmonic Analysis, Dover, New York, 1976.