Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

SYMMETRIC QUADRATURE FORMULAS OVER A UNIT DISK

  • Published : 1997.03.01

⟨ Previous Next ⟩

Abstract

An algorithm to get an optimal choice for the number of symmetric quadrature points is given to find symmetric quadrature points is given to find symmetric quadrature for-mulas over a unit disk with a minimal number of points even when a high degree of polynomial precision is required. The symmetric quad-rature formulas for numerical integration over a unit disk of complete polynomial functions up to degree 19 are presented.

Keywords

References

  1. Int.J.Numer.Methods eng. v.21 Exonomical symmetrical quadrature rules for complete polynomials over a square domain D.A.Dunavant
  2. Computing v.40 The Construction of symmetric cubature formulas for the square and the triangle K.Gatermann
  3. MTAC v.10 Numerical integration over simplexes and cones P.C.Hammer;O.J.Marlowe;A.H.Stround
  4. MTAC v.12 Numerical evaluation of multiple integrals Ⅱ P.C.Hammer;A.H.Stround
  5. International Mathematical and Statistical Libraries, version 2.0 Visual Numerics Inc.
  6. Int.J.Numer.Methods Eng. v.12 Some criteria for numerically integrated matrices and quadrature formulas for triangles M.E.Laursen;M.Gellert
  7. Inst.Maths.Applies. v.15 Moderate degree symmetric quadrature rule for the triangle J.N.Lyness;D.Jesperson
  8. Mathematica, enhanced version 2.2 Wolfram Research, Inc.
  9. Microsoft Fortran Powerstation, Professional Edition, version 4.0 Microsofy Corporation
  10. Math. Comp. v.23 Perfectly symmetric two dimensional integration formulas with minimal number of points P.Rabinowitz;N.Richter