Enhancing interpolation and approximation error estimates using a novel Taylor-like formula (Q6591541)
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scientific article; zbMATH DE number 7900354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Enhancing interpolation and approximation error estimates using a novel Taylor-like formula |
scientific article; zbMATH DE number 7900354 |
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Enhancing interpolation and approximation error estimates using a novel Taylor-like formula (English)
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22 August 2024
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This paper aims to improve the constants in \(P_1\) interpolation error estimates by using a Taylor-like formula proven in a previous publication. This Taylor-like formula is also used to deduce an implicit numerical scheme for the heat equation. The method is specific to the dimension one and the proofs can be understood at undergraduate level.
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Taylor's theorem
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Taylor-like formula
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interpolation error
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finite differences scheme
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error estimate
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heat equation
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