title: Fifth to eleventh virial coefficients of hard spheres.
abstract: Virial coefficients B(n) of three-dimensional hard spheres are reported for n=5 to 11, with precision exceeding that presently available in the literature. Calculations are performed using the recursive method due to Wheatley, and a binning approach is proposed to allow more flexibility in where computational effort is directed in the calculations. We highlight the difficulty as a general measure that quantifies performance of an algorithm that computes a stochastic average and show how it can be used as the basis for optimizing such calculations.
authors.affiliation: Department of Chemical and Biological Engineering, University at Buffalo, The State University of New York, Buffalo, New York 14260-4200, USA.
authors.forename: Andrew J
authors.initials: AJ
authors.lastname: Schultz
authors.affiliation: Department of Chemical and Biological Engineering, University at Buffalo, The State University of New York, Buffalo, New York 14260-4200, USA.
authors.forename: David A
authors.initials: DA
authors.lastname: Kofke
mesh_terms: D000465:Algorithms; D005583:Fourier Analysis; D008962:Models, Theoretical; D013269:Stochastic Processes