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PARAMETER IDENTIFICATION BY MIXED SPECTRAL-PSEUDOSPECTRAL APPROXIMATIONS

PARAMETER IDENTIFICATION BY MIXED SPECTRAL-PSEUDOSPECTRAL APPROXIMATIONS
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摘要 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. 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.
作者 郭本瑜
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第2期218-232,共15页 应用数学学报(英文版)
基金 the Chinese Key project on Basic Research (No.1999032804), and Shanghai Natural Science Foundation (No.00JC14D57).
关键词 Parameter identification mixed spectral-pseudospectral approximations Chebyshev-Legendre approximations spectral accuracy Parameter identification, mixed spectral-pseudospectral approximations, Chebyshev-Legendre approximations, spectral accuracy
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