Ms. Hingst et At. Phillips, A performance analysis of Appel's algorithm for performing pairwise calculations in a many particle system, COMPUT OP A, 14(2), 1999, pp. 231-240
Appel's algorithm for efficiently performing pairwise potential energy calc
ulations is analyzed with regard to both computing time required and error
incurred. Four factors are identified which determine the practical value o
f Appel's method: the total number of particles in the system, the toleranc
e for error in the calculations, the complexity of the pairwise energy calc
ulation, and the spacial distribution of the particles.