Partial Differential Equation

Partial Differential Equations (PDEs) are at the heart of many computer analyses or simulations of continuous physical systems such as fluids, electromagnetic fields, the human body, etc [40]. Since the HPJava system aims at scientific and engineering computing applications, benchmarking PDEs is an important issue for the system. In this section we will briefly review the mathematical background of PDEs such as Laplace equations and diffusion equations, and will benchmark the PDE programs in HPJava.