Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory (Q1005209)
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scientific article; zbMATH DE number 5526324
| Language | Label | Description | Also known as |
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| English | Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory |
scientific article; zbMATH DE number 5526324 |
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Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory (English)
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9 March 2009
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The paper discusses some spectral regularization methods for solving the one-dimensional transient inverse heat conduction problem, as formulated by \textit{A. Carasso} [SIAM J. Appl. Math. 42, 558--574 (1982; Zbl 0498.35084)]. The third method is just the Fourier method of \textit{L. Eldén, F. Berntsson} and \textit{T. Reginska} [SIAM J. Sci. Comput. 21, No. 6, 2187--2205 (2000; Zbl 0959.65107)]. The regularization is achieved by cutting-off the high frequencies, as in the truncated singular value decomposition.
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ill-posed problems
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sideways parabolic equation
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spectral regularization method
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a-posteriori regularization parameter
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error estimate
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