论文信息 - A note on equal coefficient quadrature rules

A note on equal coefficient quadrature rules

Abstract In this paper we introduce an integration method with equal coefficient in the following form: ∫ a b w ( x ) f ( x ) d x ≃ C n ∑ i = 1 n f ( x i ) . Then by using the formulas of Newton’s equations and degree of precision we introduce a method which express the nodes and coefficients in this integration formulas. Finally some examples are presented to illustrate the procedure.

Mehdi Dehghan | M. R. Eslahchi | S. M. Hashemiparast

[1] Mohammad Masjed-Jamei,et al. On numerical improvement of the first kind Gauss-Chebyshev quadrature rules , 2005, Appl. Math. Comput..

[2] Mohammad Masjed-Jamei,et al. On numerical improvement of closed Newton-Cotes quadrature rules , 2005, Appl. Math. Comput..

[3] Mohammad Masjed-Jamei,et al. The equal coefficients quadrature rules and their numerical improvement , 2005, Appl. Math. Comput..

[4] Esmail Babolian,et al. On numerical improvement of Gauss-Lobatto quadrature rules , 2005, Appl. Math. Comput..

[5] Mohammad Masjed-Jamei,et al. The second kind Chebyshev quadrature rules of semi-open type and its numerical improvement , 2006, Appl. Math. Comput..

[6] Mohammad Masjed-Jamei,et al. The first kind Chebyshev-Lobatto quadrature rule and its numerical improvement , 2005, Appl. Math. Comput..

[7] Mohammad Masjed-Jamei,et al. The first kind Chebyshev-Newton-Cotes quadrature rules (closed type) and its numerical improvement , 2005, Appl. Math. Comput..

[8] K. Atkinson. Elementary numerical analysis , 1985 .

[9] J. Douglas Faires,et al. Numerical Analysis , 1981 .

[10] A. Stroud,et al. Approximate Calculation of Integrals , 1962 .

[11] Mohammad Masjed-Jamei,et al. The semi-open Newton-Cotes quadrature rule and its numerical improvement , 2005, Appl. Math. Comput..