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- Ronald Cools, Ann Haegemans
- ACM Trans. Math. Softw.
- 2003

CUBPACK aims to offer a collection of re-usable code for automatic <i>n</i>-dimensional (<i>n</i> ≥ 1) numerical integration of functions over a collection of regions, i.e., quadrature andâ€¦ (More)

- Pierre Verlinden, Ann Haegemans
- Numerical Algorithms
- 1992

We consider a dilation operatorT admitting a scaling function with compact support as fixed point. It is shown that the adjoint operatorT*admits a sequence of polynomial eigenfunctions and that aâ€¦ (More)

- Ann Haegemans
- Computing
- 1977

Numerical integration over an arbitrary triangular domain is considered. An adaptive algorithm with round-off error guard is described. A FORTRAN IV implementation is given and numerical results areâ€¦ (More)

- Jan Verschelde, Ann Haegemans
- Theor. Comput. Sci.
- 1994

The problem considered in this paper is the computation of all solutions of a given polynomial system in a bounded domain. Proving RouchÃ©â€™s Theorem by homotopy continuation concepts yields a newâ€¦ (More)

- Peter Kravanja, Ann Haegemans
- Computing
- 1999

We propose a modification of Newton's method for computing multiple roots of systems of analytic equations. Under mild assumptions the iteration converges quadratically. It involves certain constantsâ€¦ (More)

- Ronald Cools, Ann Haegemans
- Computing
- 1988

The knots and weights of a cubature formula are determined by a system of nonlinear equations. The number of equations and unknowns can be reduced by imposing some structure on the formula. We areâ€¦ (More)

- Pierre Verlinden, Ann Haegemans
- Computing
- 1990

A cubature formulaQ is an approximation of ann-dimensional integralI. Q is exact for the space spanned by the polynomialsf 1, ...,f d if it verifies the system of equations: $$Q[f_i ] = I[f_i ] i =â€¦ (More)

- Robert Piessens, Ann Haegemans
- Computing
- 1974

An automatic integration routine for the computation of highly oscillating functions is presented. The algorithm is based on the use of Gaussian quadrature formulas with suitable weight function. Esâ€¦ (More)

- Peter Kravanja, Ann Haegemans
- The American Mathematical Monthly
- 2000

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology andâ€¦ (More)

- J Suetens P Gybels, Jan M. Gybels, AndrÃ© Oosterlinck, Ann Haegemans
- Applied neurophysiology
- 1982