Article citationsMore>>

Torquato, S., Kim, I.-C. and Cule, D. (1999) Effective Conductivity, Dielectric Constant, and Diffusion Coefficient of Digitized Composite Media via First-Passage-Time Equations. Journal of Applied Physics, 85, 1560.
https://doi.org/10.1063/1.369287

has been cited by the following article:

• TITLE: Fast Diffusion Monte Carlo Sampling via Conformal Map

  AUTHORS: Chi-Ok Hwang, Mi Do

  KEYWORDS: Monte Carlo, Sampling, Conformal Map

  JOURNAL NAME: Applied Mathematics, Vol.11 No.1, January 9, 2020

  ABSTRACT: In diffusion Monte Carlo methods, depending on the geometry continuous diffusion can be simulated in many ways such as walk-on-spheres (WOS), walk-on-planes (WOP), walk-on-rectangles (WOR) and so on. The diffusion ways are conformally the same satisfying the Laplace equation with the given boundary geometry. In this paper, using the WOP and the conformal map, we sample the WOS diffusion and show that the indirect sampling is more efficient than the direct WOS sampling. This signifies that fast diffusion Monte Carlo sampling via conformal map can be possible.