In numerical mathematics, the Gauss–Kronrod quadrature formula is a method for numerical integration (calculating approximate values of integrals… (More)

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2010

2010

Let D be a real function such that D(z) is analytic and D(z) ± 0 for \z\ < 1. Furthermore, put W(x) = \J\ x2\D(e'v)\2 , x = costp… (More)

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2010

2010

- Sven Ehrich
- 2010

The Gauss-Kronrod quadrature formula Qi//+X is used for a practical estimate of the error R^j of an approximate integration using… (More)

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2006

2006

- Sotirios E. Notaris
- Numerical Algorithms
- 2006

We consider the Gauss-Kronrod quadrature formulae for the Bernstein-Szegő weight functions consisting of any one of the four… (More)

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2005

2005

- Walter Gautschi
- Numerische Mathematik
- 2005

The idea of Gauss–Kronrod quadrature, in a germinal form, is traced back to an 1894 paper of R. Skutsch. The idea of inserting n… (More)

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2000

2000

- Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel
- Math. Comput.
- 2000

Recently Laurie presented a new algorithm for the computation of (2n+1)-point Gauss-Kronrod quadrature rules with real nodes and… (More)

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1999

1999

- Greg S. Ammar
- 1999

Recently Laurie presented a fast algorithm for the computation of (2n + 1)-point Gauss-Kronrod quadrature rules with real nodes… (More)

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Review

1998

Review

1998

- Sven Ehrich
- 1998

The Gauss-Kronrod quadrature scheme, which is based on the zeros of Legendre polynomials and Stieltjes polynomials, is the… (More)

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1998

1998

- Sven Ehrich
- 1998

Gauss-Kronrod product quadrature formulas for the numerical approximation of R 1 ?1 k(x)f (x)dx are shown to converge for every… (More)

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Highly Cited

1997

Highly Cited

1997

- Dirk Laurie
- Math. Comput.
- 1997

The Jacobi matrix of the (2n+1)-point Gauss-Kronrod quadrature rule for a given measure is calculated efficiently by a five-term… (More)

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1995

1995

- Sotirios E. Notaris
- Numerical Algorithms
- 1995

Given a fixedn≥1, and a (monic) orthogonal polynomial π n (·)=π n (·;dσ) relative to a positive measuredσ on the interval [a, b… (More)

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