QMC rules of arbitrary high order: Reproducing kernel Hilbert space approach (Q843729)
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scientific article; zbMATH DE number 5659512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | QMC rules of arbitrary high order: Reproducing kernel Hilbert space approach |
scientific article; zbMATH DE number 5659512 |
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QMC rules of arbitrary high order: Reproducing kernel Hilbert space approach (English)
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15 January 2010
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The aim of the paper is to show how some results of the second author can be achieved in a reproducing kernel Hilbert space setting. In particular, the authors consider numerical integration in a weighted Sobolev spaces and prove results about the worst-case error. Also they provide exact formulae and bounds for the integration errors, and present some numerical results for the test problems.
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quasi-Monte Carlo (QMC) method
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numerical integration
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digital nets
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reproducing kernel Hilbert spaces
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weighted Sobolev spaces
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worst-case error
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numerical results
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0.86481875
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0.8611441
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0.8494181
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0.84236336
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0.8400709
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0.8364177
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0.8348066
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0.8345583
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