Convergence of swartztrauber-sweets approximation for the poisson-type equation on a disk

Convergence of swartztrauber-sweets approximation for the poisson-type equation on a disk
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圆盘上泊松型方程的 swartztrauber-sweets 近似的收敛性

DOI:
10.1080/01630569908816932
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发表时间:
1999
影响因子:
1.2
通讯作者:
Tetsuro Yamamoto
Tetsuro Yamamoto
中科院分区:
数学4区
文献类型:
--
作者:
Nami Matsunaga;Tetsuro Yamamoto

文献摘要

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本文给出了在极坐标系中求解圆盘上的泊松型方程的 Swartztrauber-Sweet 近似的收敛性分析。结果证明了 Strikwerda-Nagel 1986 年的报告,他们在没有证明的情况下断言该方案在原始数值例子中具有二阶精度。
This paper gives a convergence analysis for the Swartztrauber-Sweet approximation for solving the Poisson-type equation on a disk in the polar coordinate system The result justifies a report of Strikwerda-Nagel in 1986 where they asserted without proof that the scheme had the second order accuracy at the origi numerical example is also given.