A fast algorithm for solving the tensor product collocation equations

Weiwei Sun; N. G. Zamani

doi:10.1016/0016-0032(89)90076-8

Author(s)

Weiwei Sun
N. G. Zamani

Detail(s)

Original language	English
Pages (from-to)	295-307
Journal / Publication	Journal of the Franklin Institute
Volume	326
Issue number	2
Publication status	Published - 1989
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/0016-0032(89)90076-8 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-38249026426&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(e4dd2fcb-9ab1-4c42-906c-6c75346e5822).html

Abstract

A fast algorithm is presented for solving the tensor product collocation equations (A_x ⊗ B_y + B_x ⊗ A_y)u =b, obtained from the discretization of the Poisson equation in a rectangular region by the collocation method. The Fast Fourier Transformation (FFT) algorithm is employed to achieve the above objective. The operation count is shown to be 0(N²log₂N) which makes the overall calculations very economical. © 1989.

Citation Format(s)

[ RIS ] [ BibTeX ]

A fast algorithm for solving the tensor product collocation equations. / Sun, Weiwei; Zamani, N. G.

In: Journal of the Franklin Institute, Vol. 326, No. 2, 1989, p. 295-307.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Sun, W & Zamani, NG 1989, 'A fast algorithm for solving the tensor product collocation equations', Journal of the Franklin Institute, vol. 326, no. 2, pp. 295-307. https://doi.org/10.1016/0016-0032(89)90076-8

Sun, W., & Zamani, N. G. (1989). A fast algorithm for solving the tensor product collocation equations. Journal of the Franklin Institute, 326(2), 295-307. https://doi.org/10.1016/0016-0032(89)90076-8

Sun W, Zamani NG. A fast algorithm for solving the tensor product collocation equations. Journal of the Franklin Institute. 1989;326(2):295-307. https://doi.org/10.1016/0016-0032(89)90076-8

Sun, Weiwei ; Zamani, N. G. / A fast algorithm for solving the tensor product collocation equations. In: Journal of the Franklin Institute. 1989 ; Vol. 326, No. 2. pp. 295-307.