Optimal addition of knots to cubature formulae for planar regions

Author:

Cools Ronald,Haegemans Ann

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference9 articles.

1. Cools, R., Haegemans, A.: Construction of fully symmetric cubature formulae of degree 4k?3 for fully symmetric planar regions. Report TW71, K.U. Leuven 1985

2. Cools, R., Haegemans, A.: Tables of degree 2k?1/2k+1 pairs of cubature formulae for symmetric planar regions, obtained by optimal addition of knots. Report TW76, K.U. Leuven 1986

3. Haegemans, A.: Tables of symmetrical cubature formulas for the two-dimensional hexagon. Report TW28, K.U. Leuven 1976

4. Haegemans, A., Piessens, P.: Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials. Numer. Math.25, 139?148 (1976)

5. Haegemans, A., Piessens, R.: Construction of cubature formulas of degree seven and nine for symmetric planar regions, using orthogonal polynomials. SIAM J. Numer. Anal.14, 492?508 (1977)

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