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Legendre-tau-padé approximations to the one-dimensional wave equation with boundary oscillators

 

作者: Kazufumi Ito,   Georg Propst,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 1-2  

页码: 57-70

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816814

 

出版商: Marcel Dakker Inc.,

 

关键词: 1991 Mathematics Subject Classification.35L05;1991.Mathematics Subject Classification.65N35;1991.Mathematics.Subject.Classification.41A21;wave equation;approximation;Legendre-tau;transfer functions;Padé

 

数据来源: Taylor

 

摘要:

The one-dimensional wave equation that is coupled to oscillators at the boundaries is approximated using Legendre polynomials. The convergence of the corresponding semigroups is proven by means of Trotter-Kato theory. By expansion of the characteristic determinants it is shown that the transfer functions of the approximate systems arc those of the exact system with the exponential functions replaced by Padé fractions.

 

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