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International Journal of Computer Mathematics Volume 87, 2010 - Issue 9
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Section B

Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems

Zhong-Qing Wang Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China; Scientific Computing Key Laboratory of Shanghai Universities, Division of Computational Science of E-Institute of Shanghai Universities, Shanghai, ChinaCorrespondence[email protected]
,
Rong Zhang Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China
&
Ben-Yu Guo Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China; Scientific Computing Key Laboratory of Shanghai Universities, Division of Computational Science of E-Institute of Shanghai Universities, Shanghai, China
Pages 2123-2142 | Received 15 May 2008, Accepted 07 Nov 2008, Published online: 18 Sep 2009
 
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Abstract

In this paper, we develop the mixed pseudospectral method for three-dimensional exterior problems. Some basic results on the mixed spherical harmonic-generalized Laguerre interpolation are established, which play important roles in the related pseudospectral methods. As examples, we provide the mixed pseudospectral schemes for two exterior problems with convergence analysis. Numerical results demonstrate the efficiency of this approach.

2000 AMS Subject Classifications :

Acknowledgements

This work is supported in part by the National Basic Research Project of China, N.2005CB321701, NSF of China, N.10771142 and N.10871131, Science and Technology Commission of Shanghai Municipality Grant, N.075105118, Shuguang Project of Shanghai Education Commission, N.08SG45, Shanghai Leading Academic Discipline Project N.S30405 and The Fund for E-institute of Shanghai Universities N.E03004.

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