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An FFT-based algorithm for 2D power series expansions

✍ Scribed by Chyi Hwang; Jia-Chyu Guo; Tong-Yi Guo

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
498 KB
Volume
37
Category
Article
ISSN
0898-1221

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✦ Synopsis

An effective numerical algorithm based on inverting a specialized Laplace transform is derived for computing the two-dimensional power-series expansion coefficients of a two-variable function. Due to the special structure of the constructed 2D Laplace transform, the accuracy of the inverted function values can be assured effectively by the generalized Riemann zeta function evaluation and the multiple sets of 2D FFT computation. Therefore, the algorithm is particularly amenable to modern computers having multiproceesors and/or vector processors. (~) 1999 Elsevier Science Ltd. All rights reserved.

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