A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D

This study presents a numerical convolution representation of a potential induced from a disk of surface density,which has often been investigated in the center region of galaxies. the advantage of this representation is to release the softening length for the n -body method and artificial boundary conditions for the spectral methods. with the help of fast fourier transform,the computational complexity is only o (m 2 (log 2 m)),where m is the number of zones in one dimension. numerical results show an almost second order of accuracy on a cartesian coordinate system. a comparison study also demonstrates that this method can calculate the potential for disk surface density based on the uniform grids. © 2014 chien-chang yen.