Please use this identifier to cite or link to this item: `http://hdl.handle.net/11455/18031`
DC FieldValueLanguage
dc.contributor黃啟瑞zh_TW
dc.contributor許順吉zh_TW
dc.contributor.author金允文zh_TW
dc.contributor.authorJin, Yun-Wenen_US
dc.contributor.other中興大學zh_TW
dc.date2009zh_TW
dc.date.accessioned2014-06-06T07:02:44Z-
dc.date.available2014-06-06T07:02:44Z-
dc.identifierU0005-2606200809111700zh_TW
dc.identifier.citationReferences: [1] D.Gilbarg and N.S.Trudinger, Elliptic partial differential equations of second order, 2nd ed., Springer-Verlag, Berlin, Heidelberg, New York, and Tokyo, 1983. [2] Bi-Jin Huang, Some Discrete Green Identities on a Disk, theses of master degree, National Chung-Hsing University, 2005. [3] Pei-Yu Jhong, On Sharper Forms of the Discrete Divergence Theorem and Green's Identities in a Disk, theses of master degree, National Chung-Hsing University, 2007.en_US
dc.identifier.urihttp://hdl.handle.net/11455/18031-
dc.description.abstract在本篇論文中，我們藉由定義不同的離散型梯度，改進之前原盤上的離散型散度定理及格林等式，讓這些定理有更漂亮的結果；接著我們再將這樣的結果推廣到三度空間，建立三度空間球上的離散型散度定理及格林等式。zh_TW
dc.description.abstractIn this thesis, we used different definitions for the discrete gradient so that the discrete divergence theorems are expressed in a great way. We adopt our definition of discrete gradient to improve the discrete divergence theorems and Green's identities on a disk. And then, we establish the discrete divergence theorems and the Green's identities on a mesh ball in R3.en_US
dc.description.tableofcontents1.Introduction..................................................1 2.Discrete Divergence Theorem on a Disk..........3 3.Discrete Green's identities on a Disk............11 4.Discrete Divergence Theorem on a 3-Ball......16 5.Discrete Green's Identities on a 3-Ball..........30 6.Conclusion.................................................38 References....................................................39en_US
dc.language.isoen_USzh_TW
dc.publisher應用數學系所zh_TW
dc.relation.urihttp://www.airitilibrary.com/Publication/alDetailedMesh1?DocID=U0005-2606200809111700en_US
dc.subjectdiscreteen_US
dc.subject離散zh_TW
dc.subjectdivergence theoremen_US
dc.subject散度定理zh_TW
dc.subject格林等式zh_TW
dc.title在3度空間球上的離散型散度定理及格林等式zh_TW
dc.titleDiscrete Divergence Theorem and Green''s Identities on a 3-Ballen_US
dc.typeThesis and Dissertationzh_TW
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeThesis and Dissertation-
item.cerifentitytypePublications-
item.fulltextno fulltext-
item.languageiso639-1en_US-
item.grantfulltextnone-
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