Spectral Methods using Triangular Domains

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 94 === The nodal sets in simplex for high-order interpolation approximation were constructed by some optimal methods in tradition. In this thesis we introduce a new method using projection to construct nodal sets in simplex, and a general framework of constructing m...

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Main Authors:	Ting-Sheng Wu, 吳廷生
Other Authors:	Chun-Hao Teng
Format:	Others
Language:	zh-TW
Published:	2006
Online Access:	http://ndltd.ncl.edu.tw/handle/78510510062423867672

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spelling	ndltd-TW-094NCKU55070112016-05-30T04:21:59Z http://ndltd.ncl.edu.tw/handle/78510510062423867672 Spectral Methods using Triangular Domains 運用三角形域之譜方法 Ting-Sheng Wu 吳廷生碩士國立成功大學數學系應用數學碩博士班 94 The nodal sets in simplex for high-order interpolation approximation were constructed by some optimal methods in tradition. In this thesis we introduce a new method using projection to construct nodal sets in simplex, and a general framework of constructing multidimensional pseudospectral schemes for simulation wave equation. The nodal sets from projection for approximation are as good as the results obtained by traditional methods. Stable numerical simulations of model wave equations are also conducted. The results are agreed with the theoretical analysis. Chun-Hao Teng 鄧君豪 2006 學位論文 ; thesis 47 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 94 === The nodal sets in simplex for high-order interpolation approximation were constructed by some optimal methods in tradition. In this thesis we introduce a new method using projection to construct nodal sets in simplex, and a general framework of constructing multidimensional pseudospectral schemes for simulation wave equation. The nodal sets from projection for approximation are as good as the results obtained by traditional methods. Stable numerical simulations of model wave equations are also conducted. The results are agreed with the theoretical analysis.
author2	Chun-Hao Teng
author_facet	Chun-Hao Teng Ting-Sheng Wu 吳廷生
author	Ting-Sheng Wu 吳廷生
spellingShingle	Ting-Sheng Wu 吳廷生 Spectral Methods using Triangular Domains
author_sort	Ting-Sheng Wu
title	Spectral Methods using Triangular Domains
title_short	Spectral Methods using Triangular Domains
title_full	Spectral Methods using Triangular Domains
title_fullStr	Spectral Methods using Triangular Domains
title_full_unstemmed	Spectral Methods using Triangular Domains
title_sort	spectral methods using triangular domains
publishDate	2006
url	http://ndltd.ncl.edu.tw/handle/78510510062423867672
work_keys_str_mv	AT tingshengwu spectralmethodsusingtriangulardomains AT wútíngshēng spectralmethodsusingtriangulardomains AT tingshengwu yùnyòngsānjiǎoxíngyùzhīpǔfāngfǎ AT wútíngshēng yùnyòngsānjiǎoxíngyùzhīpǔfāngfǎ
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Spectral Methods using Triangular Domains

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