Method of lines for parabolic stochastic functional partial differential equations

We approximate parabolic stochastic functional differential equations substituting the derivatives in the space variable by finite differences. We prove the stability of the method of lines corresponding to a parabolic SPDE driven by Brownian motion.

Bibliographic Details
Main Author: Maria Ziemlańska
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2014-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3427.pdf