Papers on quadrature

This list is a by-product and is certainly not complete. Nevertheless, I hope it will be useful.

1.
G.H. Behforooz, The use of spline-on-spline for the approximation of Cauchy principal value integrals, Appl. Math. Comp. 80 (1996), no. 1, 23-32.

2.
H. Brass, J.-W. Fischer, and K. Petras, The gaussian quadrature method, Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft 47 (1996), 115-150.

3.
H. Brass, On the quality of algorithms based on spline interpolation, Numerical Algorithms 13 (1996), 159-177.

4.
P.J. Davis, Numerical life at the dawn of the digital computer era, SIAM News 29 (1996), no. 3, 1,7.

5.
K. Diethelm, A definiteness criterion for linear functionals and its application to Cauchy principal value quadrature, J. Comput. Appl. Math. 66 (1996), no. 1-2, 167-176.

6.
K. Diethelm, Error bounds for compound quadratures for Hadamard-type finite-part integrals, Numerical Methods and Error Bounds (Berlin) (G. Alefeld and J. Herzberger, eds.), Akademie-Verlag, Berlin, 1996, pp. 58-63.

7.
K. Diethelm, Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals, Numer. Math. 73 (1996), no. 1, 53-63.

8.
C. Dagnino and P. Lamberti, Numerical evaluation of Cauchy principal integrals based on local spline approximation operators, J. Comput. Appl. Math. 76 (1996), no. 1-2, 231-238.

9.
S. Ehrich, A note on Peano constants of Gauss-Kronrod quadrature schemes, J. Comput. Appl. Math. 66 (1996), no. 1-2, 177-183.

10.
K.J. Förster and K. Petras, On the variance of Gaussian quadrature formulae in the ultraspherical case, Calcolo 31 (1996), no. 1-2, 1-34.

11.
L. Gori and C.A. Micchelli, On weight functions which admit explicit Gauss-Turán quadrature formulas, Math. Comp. 65 (1996), no. 216, 1567-1581.

12.
D.P. Laurie, Anti-Gaussian quadrature formulas, Math. Comp. 65 (1996), no. 214, 739-747.

13.
D.P. Laurie, Periodizing transformations for numerical integration, J. Comput. Appl. Math. 66 (1996), no. 1-2, 337-344.

14.
E. Novak and I. Roschmann, Numerical integration of peak functions, J. Complexity 12 (1996), no. 4, 358-379.

15.
K. Petras, An asymptotic expansion for the weights of Gaussian quadrature formulae, Acta Math. Hung. 70 (1996), 89-100.

16.
K. Petras, On the universality of the Gaussian quadrature formula, East Journal on Approximations 2 (1996), 427-438.

17.
A. Venter and D.P. Laurie, Automatic quadrature of functions of the form g(|f(x)|), BIT 36 (1996), no. 2, 387-394.

18.
E. Yakimiw, Accurate computation of weights in classical Gauss Christoffel quadrature rules, Journal of Computational Physics 129 (1996), no. 2, 406-430.



Ronald Cools
1998-12-18