The maximum-norm of the restricted denominator approximations (Q815241)
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scientific article; zbMATH DE number 5006949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The maximum-norm of the restricted denominator approximations |
scientific article; zbMATH DE number 5006949 |
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The maximum-norm of the restricted denominator approximations (English)
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16 February 2006
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From the author's abstract: We analyze the restricted denominator approximation method, which is a one parameter family of functions approximating the exponential function. We give a necessary and sufficient condition for the A-stability of the functions. We provide an estimate for the stability constant in the maximum-norm when the method is applied to the one-dimensional heat equation both on finite and on infinite intervals.
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Maximum norm
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Stability
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Rational approximation
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Restricted denominator method
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approximating the exponential function
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heat equation
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0.87259626
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0.8652427
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