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Parameter identification by mixed spectral-pseudospectral approximations
Authors:Guo Benyu  Cha Ki Hyun  YongHong Kwon
Institution:(1) School of Mathematical Sciences, Shanghai Normal University, 200234 Shanghai, China;(2) Department of Mathematics, Pohang University of Science and Technology, Pohang, Korea
Abstract:Several mixed Legendre spectral-pseudospectral approximations and Chebyshev-Legendre ap- proximations are proposed for estimating parameters in differential equations. They are easy to be performed, and have the spectral accuracy. The numerical results coincide with those of the theoretical analysis. It is easy to generalize the proposed methods to multiple-dimensional prob- lems.
Keywords:Parameter identification  mixed spectral-pseudospectral approximations  Chebyshev-Legendre approximations  spectral accuracy
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