Numerical Integration III: Proceedings of the Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, Nov. 8 – 14, 1987

Front Matter....Pages I-XIV
Stability barriers to the construction of { ρ,σ }-reducible and fractional quadrature rules....Pages 1-15
Universal quadrature rules in the space of periodic functions....Pages 16-24
Construction of Symmetric Cubature Formulae with the Number of Knots (Almost) Equal to Möller’s Lower Bound....Pages 25-36
On the Minimal Variance of Quadrature Formulas....Pages 37-48
Uniform Approximation of Christoffel Numbers for Jacobi Weight....Pages 49-59
Newton’s Method and Gauss-Kronrod Quadrature....Pages 60-71
Gaussian Quadrature Formulae Involving Derivatives of Lacunary Type....Pages 72-78
Optimale Quadraturformeln für Funktionen mit Beschränkter Zweiter Ableitung bei Äquidistanten Stützstellen....Pages 79-90
What is a Good Quadrature Error Estimate ?....Pages 91-98
Jacobi Moments and a Family of Special Orthogonal Polynomials....Pages 99-110
Quadrature Errors and Biorthogonality....Pages 111-116
Some Comments on Quadrature Rule Construction Criteria....Pages 117-129
Monosplines and Moment Preserving Spline Approximation....Pages 130-139
Product Formulas for Fredholm Integral Equations with Rational Kernel Functions....Pages 140-156
Quasi-Monte Carlo Methods for Multidimensional Numerical Integration....Pages 157-171
On Tchebycheff Quadrature Formulas....Pages 172-185
Asymptotic Behaviour of Peanokernels of Fixed Order....Pages 186-198
Error Estimate for a Quadrature Formula for H 2 Functions....Pages 199-201
Equivalence Theorems for Quadrature on the Real Line....Pages 202-215
On Minimal Cubature Formulae of Even Degree....Pages 216-225
Error Bounds for the Numerical Evaluation of Integrals with Weights....Pages 226-236
Generalizations of Richardson Extrapolation with Applications to Numerical Integration....Pages 237-250
Lattice Rules — Classification and Searches....Pages 251-260
Stable Computation of Stieltjes Integrals....Pages 261-273
The Numerical Evaluation of a Class of Divergent Integrals....Pages 274-284
Positivity Domain of Ultraspherical Type Quadrature Formulas with Jacobi Abscissas: Numerical Investigations....Pages 285-294
Numerical Quadrature in Several Dimensions....Pages 295-309
Optimal Quadrature for Convex Functions and Generalizations....Pages 310-315
Back Matter....Pages 316-325