2 September 2013 1:31:12.445 PM STOCHASTIC_HEAT2D_PRB: FORTRAN90 version Test the STOCHASTIC_HEAT2D library. TEST01: Consider the steady heat equation in the unit square, with 0 Dirichlet boundary conditions, and a heat source term F that is a Gaussian centered at (0.60,0.80). Model the diffusivity coefficient as spatially varying, with a stochastic dependence on parameters OMEGA(1:4), as described in Babuska, Nobile, Tempone (BNT). Compute and display the solution U for a given choice of the parameters OMEGA. Sampled OMEGA values: 1: 3.3580805 2: -0.94553760 3: -1.1321196 4: -0.46224826 Created graphics data file "solution_data.txt". Created graphics command file "solution_commands.txt". Mean value of U is 0.337698 TEST02: Fix OMEGA(3) = 4, OMEGA(4) = 0, and examine dependence of average temperature on OMEGA(1) and OMEGA(2) over the range [-10,+10]. Omega(3) fixed at 4.00000 Omega(4) fixed at 0.00000 Created graphics data file "umean_data.txt". Created graphics command file "umean_commands.txt". U_Mean_Max = 0.641953 STOCHASTIC_HEAT2D_PRB: Normal end of execution. 2 September 2013 1:31:19.063 PM