Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/17878
標題: 圓盤上的離散型散度定理與Green''s identities更sharp的型式
On Sharper Forms of the Discrete Divergence Theorem and Green's Identities in a Disk
作者: 鍾珮瑜
Chung, Pei-Yu
關鍵字: discrete
圓盤
divergence theorem
disk
離散
散度定理
出版社: 應用數學系所
引用: [1]賴明治,橢圓偏微分方程在圓柱及球座標上的快速算法及應用 [2]J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations, p.286-287. [3]黃必錦,Some Discrete Green Identities On a Disk
摘要: 在本篇論文中,我們討論在原盤上的離散型散度定理與Green’s identities。為此,我們增加靠近原點的邊界網格點,使得在(△r,△θ)趨近零時,散度定理的餘項更靠近零,同時一目了然看出餘項被誰限制住,甚至在Green’s identities時沒有餘項,讓定理更加漂亮。
In this study, we show the discrete divergence theorem and Green's identities on a disk centered at the origin within a radius of ρ and we add (f0j¬) with a view to making our results sharper. We would find that when (△r,△θ)→0, those remainders are closer with zero.
URI: http://hdl.handle.net/11455/17878
其他識別: U0005-2606200709590900
文章連結: http://www.airitilibrary.com/Publication/alDetailedMesh1?DocID=U0005-2606200709590900
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