Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials

Author:

Haegemans Ann,Piessens Robert

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference8 articles.

1. Brown, W. S.: ALTRAN user's manual. Murray Hill, New Jersey: Bell Laboratories 1973

2. Franke, R.: Orthogonal polynomials and approximate multiple integration. SIAM J. Numer. Anal.8, 757?765 (1971)

3. Franke, R.: Minimal point cubatures of precision seven for symmetric planar regions. SIAM J. Numer. Anal.10, 849?862 (1971)

4. Haegemans, A., Piessens, R.: Construction of cubature formulas of degree seven and nine for symmetric planar regions, using orthogonal polynomials. To be published in SIAM J. Numer. Anal.

5. Hirsch, P. M.: Evalution of orthogonal polynomials and relationship to evaluating multiple integrals. Math. Comp.22, 280?285 (1968)

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