Approximation of parabolic PDEs on spheres using spherical basis functions

Approximation of parabolic PDEs on spheres using spherical basis functions
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DOI:
10.1007/s10444-003-3960-9
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发表时间:
2005-05-01
影响因子:
1.7
通讯作者:
Le Gia, QT
Le Gia, QT
中科院分区:
数学4区
文献类型:
--
作者:
Le Gia, QT

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本文研究了一类抛物型偏微分方程在Rn+1的单位球面S-n子集上的球面基函数逼近。Sobolev范数的误差估计。
In this paper we investigate the approximation of a class of parabolic partial differential equations on the unit spheres S-n subset of Rn+1 using spherical basis functions. Error estimates in the Sobolev norm are derived.