An Efficient Modified "Walk On Spheres" Algorithm for the Linearized Poisson-Boltzmann Equation
Hwang, Chi-Ok ; Mascagni, Michael
arXiv, 0010032 / Harvested from arXiv
Text on arXiv
A discrete random walk method on grids was proposed and used to solve the linearized Poisson-Boltzmann equation (LPBE) \cite{Rammile}. Here, we present a new and efficient grid-free random walk method. Based on a modified `` Walk On Spheres" (WOS) algorithm \cite{Elepov-Mihailov1973} for the LPBE, this Monte Carlo algorithm uses a survival probability distribution function for the random walker in a continuous and free diffusion region. The new simulation method is illustrated by computing four analytically solvable problems. In all cases, excellent agreement is observed.
Publié le : 2000-10-23
Classification:  Mathematical Physics,  Mathematics - Numerical Analysis 
@article{0010032,
     author = {Hwang, Chi-Ok and Mascagni, Michael},
     title = {An Efficient Modified "Walk On Spheres" Algorithm for the Linearized
  Poisson-Boltzmann Equation},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010032}
}

Hwang, Chi-Ok; Mascagni, Michael. An Efficient Modified "Walk On Spheres" Algorithm for the Linearized
  Poisson-Boltzmann Equation. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010032/