Now showing items 1-2 of 2
A Fleming-Viat particle representation of Dirichlet Laplacian
(Springer-Verlag GmbH, 2000-11)
We consider a model with a large number N of particles which move according to independent Brownian motions. A particle which leaves a domain D is killed; at the same time, a different particle splits into two particles. For large N, the particle distribution density converges to the normalized heat equation solution in D ...
On nodal lines of Neumann eigenfunctions
(Institute of Mathematical Statistics, 2002-06-03)
We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain.