@TechReport{ it:2013-022,
author = {Lina Meinecke and Per L{\"o}tstedt},
title = {Stochastic Diffusion Processes on {C}artesian Meshes},
institution = {Department of Information Technology, Uppsala University},
department = {Division of Scientific Computing},
year = {2013},
number = {2013-022},
month = nov,
abstract = {Diffusion of molecules is simulated stochastically by
letting them jump between voxels in a Cartesian mesh. The
jump coefficients are first derived using finite
difference, finite element, and finite volume
approximations of the Laplacian on the mesh. An alternative
is to let the first exit time for a molecule in random walk
in a voxel define the jump coefficient. Such coefficients
have the advantage of always being non-negative. These four
different ways of obtaining the diffusion propensities are
compared theoretically and in numerical experiments.}
}