Surface temperature determination from borehole measurements: Regularization by cardinal series (Q1612621)
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scientific article; zbMATH DE number 1788056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surface temperature determination from borehole measurements: Regularization by cardinal series |
scientific article; zbMATH DE number 1788056 |
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Surface temperature determination from borehole measurements: Regularization by cardinal series (English)
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25 August 2002
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The authors consider the problem of recovering the temperature on the surface of a heat conducting half-plane from temperature measurements on an interior line, given the initial temperature. The problem, which is ill-posed, is regularized by truncated integration and expansion in cardinal series. Error estimates and numerical results are given, and an illustrative figure is produced.
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heat equation surface temperature
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inner temperature
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regularization
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cardinal series
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error estimate
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