The number of extrema of the error function of a class of methods for differential equations (Q678430)
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scientific article; zbMATH DE number 1001346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of extrema of the error function of a class of methods for differential equations |
scientific article; zbMATH DE number 1001346 |
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The number of extrema of the error function of a class of methods for differential equations (English)
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17 April 1997
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This paper presents sharp estimates for the number of extrema of the error of approximation of functions implicitly defined by linear and nonlinear differential equations, and by systems of differential equations when the latter are approximated using the tau method. The concept of ``length'' of a maximal monotone partition relative to a given function is used in the estimates.
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error function
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polynomial methods
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Chebyshev error
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best approximation
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number of extrema
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tau method
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