Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/18031
標題: 在3度空間球上的離散型散度定理及格林等式
Discrete Divergence Theorem and Green''s Identities on a 3-Ball
作者: 金允文
Jin, Yun-Wen
關鍵字: discrete
離散
divergence theorem
散度定理
格林等式
出版社: 應用數學系所
引用: References: [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.
摘要: 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。
In 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.
URI: http://hdl.handle.net/11455/18031
其他識別: U0005-2606200809111700
文章連結: http://www.airitilibrary.com/Publication/alDetailedMesh1?DocID=U0005-2606200809111700
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