Derivative-Based Midpoint Quadrature Rule

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References

[1] E. Babolian, M. Masjed-Jamei and M. R. Eslahchi, “On Numerical Improvement of Gauss-Legendre Quadrature Rules,” Applied Mathematics and Computation, Vol. 160, No. 3, 2005, pp. 779-789. doi:10.1016/j.amc.2003.11.031

[2] M. R. Eslahchi, M. Masjed-Jamei and E. Babolian, “On Numerical Improvement of Gauss-Lobatto Quadrature Rules,” Applied Mathematics and Computation, Vol. 164, No. 3, 2005, pp. 707-717. doi:10.1016/j.amc.2004.04.113

[3] M. R. Esclahchi, M. Dehghan and M. Masjed-Jamei, “On Numerical Improvement of the First Kind Gauss-Chebyshev Quadrature Rules,” Applied Mathematics and Computation, Vol. 165, No. 1, 2005, pp. 5-21.
doi:10.1016/j.amc.2004.06.102

[4] M. Dehghan, M. Masjed-Jamei and M. R. Eslahchi, “On Numerical Improvement of Closed Newton-Cotes Quadrature Rules,” Applied Mathematics and Computation, Vol. 165, No. 2, 2005, pp. 251-260.
doi:10.1016/j.amc.2004.07.009

[5] M. Masjed-Jamei, M. R. Eslahchi and M. Dehghan, “On Numerical Improvement of Gauss-Radau Quadrature Rules,” Applied Mathematics and Computation, Vol. 168, No. 1, 2005, pp. 51-64. doi:10.1016/j.amc.2004.08.046

[6] M. R. Esclahchi, M. Dehghan and M. Masjed-Jamei, “The First Kind Chebyshev-Newton-Cotes Quadrature Rules (Closed Type) and Its Numerical Improvement,” Applied Mathematics and Computation, Vol. 168, No. 1, 2005, pp. 479-495. doi:10.1016/j.amc.2004.09.048

[7] M. Dehghan, M. Masjed-Jamei and M. R. Eslahchi, “The Semi-Open Newton-Cotes Quadrature Rule and Its Numerical Improvement,” Applied Mathematics and Computation, Vol. 171, No. 2, 2005, pp. 1129-1140.
doi:10.1016/j.amc.2005.01.137

[8] M. Dehghan, M. Masjed-Jamei and M. R. Eslahchi, “On Numerical Improvement of Open Newton-Cotes Quadrature Rules,” Applied Mathematics and Computation, Vol. 175, No. 1, 2006, pp. 618-627.
doi:10.1016/j.amc.2005.07.030

[9] C. O. E. Burg, “Derivative-Based Closed Newton-Cotes Numerical Quadrature,” Applied Mathematics and Computation, Vol. 218, No. 13, 2012, pp. 7052-7065
doi:10.1016/j.amc.2011.12.060