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NIST

for disks and squares

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1: 3.5 Quadrature
§3.5(x) Cubature Formulas
Table 3.5.21: Cubature formulas for disk and square.
Diagram ( x j , y j ) w j R
2: Bibliography P
  • M. Petkovšek, H. S. Wilf, and D. Zeilberger (1996) A = B . A K Peters Ltd., Wellesley, MA.
  • M. J. D. Powell (1967) On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Comput. J. 9 (4), pp. 404–407.
  • 3: Bibliography
  • F. Alhargan and S. Judah (1995) A general mode theory for the elliptic disk microstrip antenna. IEEE Trans. Antennas and Propagation 43 (6), pp. 560–568.
  • T. M. Apostol and H. S. Zuckerman (1951) On magic squares constructed by the uniform step method. Proc. Amer. Math. Soc. 2 (4), pp. 557–565.
  • 4: Bibliography B
  • A. R. Barnett (1996) The Calculation of Spherical Bessel Functions and Coulomb Functions. In Computational Atomic Physics: Electron and Positron Collisions with Atoms and Ions, K. Bartschat and J. Hinze (Eds.), pp. 181–202.
  • Å. Björck (1996) Numerical Methods for Least Squares Problems. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
  • C. Brezinski and M. Redivo Zaglia (1991) Extrapolation Methods. Theory and Practice. Studies in Computational Mathematics, Vol. 2, North-Holland Publishing Co., Amsterdam.