Remarks on parameter identification. II: Convergence of the algorithm (Q1110748)
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scientific article; zbMATH DE number 4073631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on parameter identification. II: Convergence of the algorithm |
scientific article; zbMATH DE number 4073631 |
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Remarks on parameter identification. II: Convergence of the algorithm (English)
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1987
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[For part I see ibid. 47, 355-361 (1985; Zbl 0622.35077).] The authors in part I described an algorithm for identifying the coefficient a(x) of the parabolic equation \(u_ t=(a(x)u_ x)_ x+F(x,t)\) if F(x,t) and measured values of the solution function \(u=u(x,t)\) are given and a priori information about the a(x) is known. In this paper a convergence theorem for the algorithm is proved and stability results are given.
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parameter identification
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algorithm
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identifying the coefficient
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parabolic equation
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a priori information
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convergence
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stability
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