INVESTIGADORES
BELARDINELLI rolando elio
artículos
Título:
Analysis of the convergence of the 1/ t and Wang-Landau algorithms in the calculation of multidimensional integrals
Autor/es:
R. E. BELARDINELLI; S. MANZI; V. D. PEREYRA
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Editorial:
The American Physical Society
Referencias:
Año: 2008 vol. 78 p. 67701 - 67701
ISSN:
1063-651X
Resumen:
In this Brief Report, the convergence of the 1/ t and Wang-Landau algorithms in the calculation of multidimensional numerical integrals is analyzed. Both simulation methods are applied to a wide variety of integrals without restrictions in one, two, and higher dimensions. The efficiency and accuracy of both algorithms are determined by the dynamical behavior of the errors between the exact and the calculated values of the integral. It is observed that the time dependence of the error calculated with the 1/ t algorithm varies as N−1/2 with N the number of Monte Carlo MC trials, in quantitative agreement with the simple sampling Monte Carlo method. In contrast, the error calculated with the Wang-Landau algorithm saturates in time, evidencing the nonconvergence of this method. The sources of error for both methods are also determined.
