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A fast algorithm for solving the tensor product collocation equations

✍ Scribed by Weiwei Sun; N.G. Zamani

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 509 KB
Volume: 326
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(89)90076-8

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✦ Synopsis

A fast algorithm is presentedfor solving the tensor product collocation equations (A, @ B,+B, @ A,)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 O(N* log, N) which makes the overall calculations very economical.

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