The numerical approximation of a class of finite integrals (Q760750)
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scientific article; zbMATH DE number 3885201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical approximation of a class of finite integrals |
scientific article; zbMATH DE number 3885201 |
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The numerical approximation of a class of finite integrals (English)
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1984
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Das Quadraturverfahren von Clenshaw-Curtis wird auf Integrale der Form \(\int^{1}_{-1}w(x)f(x)\cdot (x^ 2+a^ 2)dx\), \(a>0\) und \(w(x)=(1- x^ 2)^{\pm 1/2}\) sowie \(w(x)=[(1-x)/(1+x)]^{1/2}\), erweitert. Zu zwei Beispielen werden numerische Ergebnisse angegeben.
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n-point Gaussian quadrature rule
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Chebyshev polynomials
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numerical results
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