Numerical integration of peak functions (Q2365413)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical integration of peak functions |
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Numerical integration of peak functions (English)
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4 February 1997
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Numerical integration of monotone and unimodal positive functions is considered. Adaptive and nonadaptive methods are studied in the worst case setting. Adaptation significantly helps for the class of unimodal functions, but not for the class of monotone functions. The methods are reliable for nonsmooth and discontinuous functions as well. Numerical examples show that the methods are very competitive in the case of nonsmooth and/or peak functions.
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peak function
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nonsmooth function
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unimodal function
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discontinuous function
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adaptive method
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quadrature
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numerical examples
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worst case setting
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