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2014 A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D
Chien-Chang Yen
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/693537

Abstract

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(M2(log2M)), 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.

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Chien-Chang Yen. "A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/693537

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131792
MathSciNet: MR3246424
Digital Object Identifier: 10.1155/2014/693537

Rights: Copyright © 2014 Hindawi

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