Pseudospectral penalty method for fourth order partialdifferential equations

碩士 === 國立中興大學 === 應用數學系所 === 105 === In this paper, we discuss how to approximate the solution of a fourth derivative boundary value problem with common boundary conditions. We construct an invertible fourth order derivative operator by using pseudospectral method, penalty method and some matrix pro...

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Main Authors:	Min-Hua Chang, 張珉華
Other Authors:	Chun-Hao Teng
Format:	Others
Language:	zh-TW
Published:	2016
Online Access:	http://ndltd.ncl.edu.tw/handle/27937539640086616117

id	ndltd-TW-105NCHU5507001
record_format	oai_dc
spelling	ndltd-TW-105NCHU55070012017-09-15T04:40:21Z http://ndltd.ncl.edu.tw/handle/27937539640086616117 Pseudospectral penalty method for fourth order partialdifferential equations 以擬譜補償法求解四次微分方程邊界問題之研究 Min-Hua Chang 張珉華碩士國立中興大學應用數學系所 105 In this paper, we discuss how to approximate the solution of a fourth derivative boundary value problem with common boundary conditions. We construct an invertible fourth order derivative operator by using pseudospectral method, penalty method and some matrix properties. Then we give some examples to test the convergence rate of the proposed method. Chun-Hao Teng 鄧君豪 2016 學位論文 ; thesis 35 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	碩士 === 國立中興大學 === 應用數學系所 === 105 === In this paper, we discuss how to approximate the solution of a fourth derivative boundary value problem with common boundary conditions. We construct an invertible fourth order derivative operator by using pseudospectral method, penalty method and some matrix properties. Then we give some examples to test the convergence rate of the proposed method.
author2	Chun-Hao Teng
author_facet	Chun-Hao Teng Min-Hua Chang 張珉華
author	Min-Hua Chang 張珉華
spellingShingle	Min-Hua Chang 張珉華 Pseudospectral penalty method for fourth order partialdifferential equations
author_sort	Min-Hua Chang
title	Pseudospectral penalty method for fourth order partialdifferential equations
title_short	Pseudospectral penalty method for fourth order partialdifferential equations
title_full	Pseudospectral penalty method for fourth order partialdifferential equations
title_fullStr	Pseudospectral penalty method for fourth order partialdifferential equations
title_full_unstemmed	Pseudospectral penalty method for fourth order partialdifferential equations
title_sort	pseudospectral penalty method for fourth order partialdifferential equations
publishDate	2016
url	http://ndltd.ncl.edu.tw/handle/27937539640086616117
work_keys_str_mv	AT minhuachang pseudospectralpenaltymethodforfourthorderpartialdifferentialequations AT zhāngmínhuá pseudospectralpenaltymethodforfourthorderpartialdifferentialequations AT minhuachang yǐnǐpǔbǔchángfǎqiújiěsìcìwēifēnfāngchéngbiānjièwèntízhīyánjiū AT zhāngmínhuá yǐnǐpǔbǔchángfǎqiújiěsìcìwēifēnfāngchéngbiānjièwèntízhīyánjiū
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Pseudospectral penalty method for fourth order partialdifferential equations

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