橢圓介面方程的數值研究

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DC Field	Value	Language
dc.contributor.author	胡偉帆	en_US
dc.contributor.author	Wei-Fan Hu	en_US
dc.contributor.author	賴明治	en_US
dc.contributor.author	Ming-Chih Lai	en_US
dc.date.accessioned	2014-12-12T01:16:52Z	-
dc.date.available	2014-12-12T01:16:52Z	-
dc.date.issued	2007	en_US
dc.identifier.uri	http://140.113.39.130/cdrfb3/record/nctu/#GT009522509	en_US
dc.identifier.uri	http://hdl.handle.net/11536/38871	-
dc.description.abstract	本文利用新的任意高階精度內嵌介面方法計算橢圓界面方程，並且應用至有介面的熱方程問題，我們推導出四階精度公式和測試數值結果。本方法的優點是容易應用於其他問題並且使數值精確度有顯著的改善。	zh_TW
dc.description.abstract	In this thesis, we introduce an arbitrary high-order immersed interface method for solving elliptic equations and apply it to solve heat equation with interface. We have derived fourth-order scheme and tested in examples. The advantage of method in this thesis is easy to apply to other problems, such as two-phase flow and leads to a significant improvement in accuracy.	en_US
dc.language.iso	en_US	en_US
dc.subject	內嵌介面	zh_TW
dc.subject	poisson方程	zh_TW
dc.subject	橢圓介面方程	zh_TW
dc.subject	不連續條件	zh_TW
dc.subject	Elliptic interface problems	en_US
dc.subject	Immersed interface method	en_US
dc.subject	jump condition	en_US
dc.subject	heat equation	en_US
dc.title	橢圓介面方程的數值研究	zh_TW
dc.title	Numerical Study for Elliptic Interface Problems	en_US
dc.type	Thesis	en_US
dc.contributor.department	應用數學系所	zh_TW
Appears in Collections:	Thesis

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