A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yen, Chien-Chang. 2014. A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-491107
Modern Language Association (MLA)
Yen, Chien-Chang. A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-491107
American Medical Association (AMA)
Yen, Chien-Chang. A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-491107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491107