Numerical Integration IV: Proceedings of the Conference at the Mathematical Research Institute, Oberwolfach, November 8–14, 1992

Front Matter....Pages i-xi
Multivariate Boolean Midpoint Rules....Pages 1-11
A relation between cubature formulae of trigonometric degree and lattice rules....Pages 13-24
Distribution of Points in Convergent Sequences of Interpolatory Integration Rules: The Rates....Pages 25-37
Bounds for Peano kernels....Pages 39-55
A new lower bound for the number of nodes in cubature formulae of degree 4 n + 1 for some circularly symmetric integrals....Pages 57-66
On the Construction of Gaussian Quadrature Formulae containing Preassigned Nodes....Pages 67-76
Integrating Singularities using Non-uniform Subdivision and Extrapolation....Pages 77-89
Variance in Quadrature — a Survey....Pages 91-110
Gauss-type Quadrature Rules for Rational Functions....Pages 111-130
Subdivision Methods for Adaptive Integration over Hyperspheres....Pages 131-140
Formules de quadrature dans R 2 avec ”réseau” minimal de droites....Pages 141-149
Quadrature rules derived from linear convergence accelerations schemes....Pages 151-165
Construction of fully symmetrical cubature rules of very high degree for the square....Pages 167-174
Numerical Integration of Nearly Singular Functions....Pages 175-188
Some Problems involving Orthogonal Polynomials....Pages 189-197
Intermediate Error Estimates for Quadrature Formulas....Pages 199-214
Stability tests for linear difference forms....Pages 215-223
The Canonical Forms of a Lattice Rule....Pages 225-240
Error Estimates of Product Quadrature Formulae....Pages 241-252
Quasi-Monte Carlo Methods with Modified Vertex Weights....Pages 253-265
Gaussian Quadrature Formulae for Splines....Pages 267-281
Quadrature Formulas For Convex Classes of Functions....Pages 283-296
On positive quadrature formulas....Pages 297-313
Quadrature Theory of Convex Functions....Pages 315-329
On Multivariate Integration for Stochastic Processes....Pages 331-347
Rational Hermite Interpolation and Quadrature....Pages 349-357
A New Variable Transformation for Numerical Integration....Pages 359-373
Back Matter....Pages 375-385