TY - JOUR ID - Ziemlańska2014 LB - Ziemlańska2014 AU - Ziemlańska, Maria TI - Method of lines for parabolic stochastic functional partial differential equations ST - Method of lines for parabolic stochastic functional partial differential equations JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2014 VL - 34 IS - 2 SP - 443 EP - 456 DO - http://dx.doi.org/10.7494/OpMath.2014.34.2.443 UR - http://dx.doi.org/10.7494/OpMath.2014.34.2.443 AB - 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. KW - stochastic partial differential equations KW - stability of the method of lines KW - white noise KW - Volterra stochastic equations SN - 1232-9274 ER -