APPLICATION OF NON-LINEAR DIFFUSION IN ALGORITHMS OF MATHEMATICAL VISUALIZATION
Jan Mach · 2006
The article briefly summarizes numerical solution of a parabolic equation used in the context of mathematical visualization. The presented nonlinear initial-boundary value problem serve in vector field visualization. Its numerical solution is based on spatial discretization by finite dierences, and time discretization is given by the Runge-Kutta-Merson scheme. A simple paral- lelization using POSIX threads is shown to speed-up the numerical computation. The computational results demonstrate the process of vector field pattern sharpening in an initial noise and computation speed-up due to parallelization.