Simulations of four independent groups of hamiltonian circuited unknowns in the numerical solutions of elliptic partial differential equations

Abstract

Past experiments on Hamiltonian circuited simulations of the partial differential equation of the Poisson type have indicated the influences of the Hamiltonian circuits on algebraic structures of coefficients matrices. The need to tend to the usage of finite difference schemes is also observed. A certain Hamiltonian circuit is found to enable the decomposition of the space of simulated points into two subspaces. This paper reports that the space can in fact be separated into four subspaces. Numerical simulations are carried out using a 7-point finite difference star. The results are compared with those obtained when the simulated points are divided into only two disjoint sets.

Keywords:

• Finite difference stars
• Finite difference sparks
• Hamilton circuits
• Elliptic partial differential equations

C.R. Categories:

• G1.8