Papers on quadrature

This list is a by-product and is certainly not complete. Nevertheless, I hope it will be useful.
  1. G.S. Ammar, D. Calvetti, and L. Reichel, Computation of Gauss-Kronrod quadrature rules with non-positive weights, Electronic Transactions on Numerical Analysis 9 (1999), 26-38.

  2. H. Brass and J.-W. Fischer, Error bounds for Romberg quadrature, Numer. Math. 82 (1999), no. 3, 389-408.

  3. S.B. Damelin and K. Diethelm, Interpolatory product quadratures for Cauchy principal value integrals with Freud weights, Numer. Math. 83 (1999), no. 1, 87-105.

  4. W. Gautschi, Orthogonal polynomials and quadrature, Electronic Transactions on Numerical Analysis 9 (1999), 65-76.

  5. P.E. Gustafson and B.A. Hagler, Gaussian quadrature rules and numerical examples for strong extensions of mass distribution functions, J. Comput. Appl. Math. 105 (1999), no. 1-2, 317-326.

  6. B.A. Hagler, Laurent-Hermite-Gauss Quadrature, J. Comput. Appl. Math. 104 (1999), no. 2, 163-171.

  7. M. Kzaz, Convergence acceleration of the Gauss-Laguerre quadrature formula, Applied Numerical Mathematics 29 (1999), no. 2, 201-220.

  8. K.N. Melnik and R.V.N. Melnik, Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information, J. Comput. Appl. Math. 110 (1999), no. 1, 45-72.

  9. F. Pérez-Acosta and J.C. Santos-León, Convergence of Gaussian quadrature and Lagrange interpolation in Haar systems, BIT 39 (1999), no. 3, 579-584.

  10. F. Cala Rodriguez, P. Gonzalez-Vera, and M. Jimenez Paiz, Quadrature formulas for rational functions, Electronic Transactions on Numerical Analysis 9 (1999), 39-52.

  11. Ying Guang Shi, On Gaussian quadrature formulas for the Chebyshev weight, J. Approx. Theory 98 (1999), no. 1, 183-195.

  12. Muhammed I. Syam, A new proof of the Euler-Maclaurin expansion for quadrature over implicitly defined curves, J. Comput. Appl. Math. 104 (1999), no. 1, 19-25.


Ronald Cools 2001-04-13