caa a22 4500 465751741 CHVBK 20180323111835.0 cr unu---uuuuu 170327e19900601xx s 000 0 eng 10.1007/BF02247880 doi (NATIONALLICENCE)springer-10.1007/BF02247880 The construction of cubature formulae by continuation [Elektronische Daten] [P. Verlinden, A. Haegemans] Die Konstruktion von Kubaturformeln mit einer Fortsetzungsmethode 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: $$Q[f_i ] = I[f_i ] i = 1,...,d.$$ The unknowns are knots and weights of the cubature formula. We suppose that there are as many unknowns as equations. For searching solutions to this system, we construct a family of systems depending continuously on a parametert: $$Q[f_i (t)] = I[f_i (t)] i = 1,...,d,$$ coinciding with the previous system fort=1 and whose solutions att=0 are easily computed. The solution curves originating from these solutions are followed numerically and may yield a solution fort=1. Springer-Verlag, 1990 Cubature formula nationallicence continuation nationallicence triangulation nationallicence Verlinden P. Department of Computer Science, K. U. Leuven, Celestijnenlaan 200A, B-3030, Leuven, Heverlee, Belgium aut Haegemans A. Department of Computer Science, K. U. Leuven, Celestijnenlaan 200A, B-3030, Leuven, Heverlee, Belgium aut Computing Springer-Verlag 45/2(1990-06-01), 145-155 0010-485X 45:2<145 1990 45 607 https://doi.org/10.1007/BF02247880 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02247880 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Verlinden P. Department of Computer Science, K. U. Leuven, Celestijnenlaan 200A, B-3030, Leuven, Heverlee, Belgium aut NATIONALLICENCE 700 1- Haegemans A. Department of Computer Science, K. U. Leuven, Celestijnenlaan 200A, B-3030, Leuven, Heverlee, Belgium aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/2(1990-06-01), 145-155 0010-485X 45:2<145 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer