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 Appears in Collections: 應用數學系所

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