Onp-generator fully symmetric quadrature rules

Author:

Lyness J. N.,Keast P.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference5 articles.

1. Krylov, V.I.: Approximate calculation of integrals (trans. by A.H. Stroud). New York: Macmillan 1962

2. Lyness, J.N.: Symmetric integration rules for hypercubes. Math. Comput.19, 260?276 (1965)

3. McNamee, J., Stenger, F.: Construction of fully symmetric numerical integration formulas. Numer. Math.10, 327?344 (1967)

4. Stenger, F.: Tabulation of certain fully symmetric numerical integration formulas of degree 7, 9 and 11. Math. Comput.21, 935 (and Microfiche Section) (1971)

5. Stroud, A.H.: Approximate calculation of multiple integrals. Englewood Cliffs, N.J.: Prentice-Hall 1971

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1. Multidimensional Quadrature Algorithms at Higher Degree and/or Dimension;Journal of Computational Physics;1996-02

2. Fully Symmetric Interpolatory Rules for Multiple Integrals;SIAM Journal on Numerical Analysis;1986-12

3. Partially Symmetric Cubature Formulas for Even Degrees of Exactness;SIAM Journal on Numerical Analysis;1986-06

4. An Imbedded Family of Fully Symmetric Numerical Integration Rules;SIAM Journal on Numerical Analysis;1983-06

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