• Title of article

    Simplified analytical expressions for numerical differentiation via cycle index

  • Author/Authors

    Hickernell، نويسنده , , Fred J. and Yang، نويسنده , , Shijun، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    11
  • From page
    433
  • To page
    443
  • Abstract
    Based on the Lagrange interpolation to the function f [ x 0 , ⋅ ] for arbitrarily chosen x 0 and logarithmic differentiation, we give a simple approach to analytical expressions for numerical differentiation using cycle index. A detailed analysis for the remainder is also included.
  • Keywords
    Lagrange Interpolation , Divided differences , Cycle index polynomial , Fa? di Bruno’s formula
  • Journal title
    Journal of Computational and Applied Mathematics
  • Serial Year
    2009
  • Journal title
    Journal of Computational and Applied Mathematics
  • Record number

    1554810