Direct Numerical Computation of the Stationary Radiative Transport Equation on Modern Parallel Architectures

We study direct numerical computations of the stationary radiative transport equation for light propagation in tissue with a three dimensional MR image and bio-optical parameters. We employ an upwind finite difference scheme which has mathematical reliability. The computational times in modern three parallel architectures are compared. Although its discretization is a large scale problem with several billions unknowns, our result shows practicality of direct numerical computation from viewpoints of computational time and modern computer resources.