Fast approximation to Poisson integral based on trigonometric periodic multiresolution analysis

Wen sheng Chen; Pong Chi Yuen

doi:10.1080/00036810600835276

Fast approximation to Poisson integral based on trigonometric periodic multiresolution analysis

Wen sheng Chen^*, Pong Chi Yuen

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

Abstract

In this article, a novel fast numerical computational algorithm for Poisson integral is developed by means of periodic trigonometric multiresolution analysis (PTMRA). The approximation formula of Poisson integral is derived. Subsequently, we establish some error estimates of approximation Poisson integral. Finally, several numerical results are given. Comparing with the existing wavelet-based method, the proposed method gives superior results. §Dedicated to Professor Wei Lin on the occasion of his 70th birthday.

Original language	English
Pages (from-to)	1153-1163
Number of pages	11
Journal	International Journal of Phytoremediation
Volume	85
Issue number	9
DOIs	https://doi.org/10.1080/00036810600835276
Publication status	Published - Sept 2006

Scopus Subject Areas

Environmental Chemistry
Pollution
Plant Science

User-Defined Keywords

31A10
Harmonic equations
Mathematics Subject Classifications 2000: 31A05
Multiresolution analysis
Poisson integral

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10.1080/00036810600835276

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abstract = "In this article, a novel fast numerical computational algorithm for Poisson integral is developed by means of periodic trigonometric multiresolution analysis (PTMRA). The approximation formula of Poisson integral is derived. Subsequently, we establish some error estimates of approximation Poisson integral. Finally, several numerical results are given. Comparing with the existing wavelet-based method, the proposed method gives superior results. §Dedicated to Professor Wei Lin on the occasion of his 70th birthday.",

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author = "Chen, {Wen sheng} and Yuen, {Pong Chi}",

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AU - Yuen, Pong Chi

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AB - In this article, a novel fast numerical computational algorithm for Poisson integral is developed by means of periodic trigonometric multiresolution analysis (PTMRA). The approximation formula of Poisson integral is derived. Subsequently, we establish some error estimates of approximation Poisson integral. Finally, several numerical results are given. Comparing with the existing wavelet-based method, the proposed method gives superior results. §Dedicated to Professor Wei Lin on the occasion of his 70th birthday.

KW - 31A10

KW - Harmonic equations

KW - Mathematics Subject Classifications 2000: 31A05

KW - Multiresolution analysis

KW - Poisson integral

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DO - 10.1080/00036810600835276

M3 - Journal article

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ER -

Fast approximation to Poisson integral based on trigonometric periodic multiresolution analysis

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