List of Numerical Analysis Topics - Error

Error

Error analysis

  • Approximation
  • Approximation error
  • Arithmetic precision
  • Condition number
  • Discretization error
  • Floating point number
    • Guard digit — extra precision introduced during a computation to reduce round-off error
    • Truncation — rounding a floating-point number by discarding all digits after a certain digit
    • Round-off error
      • Numeric precision in Microsoft Excel
    • Arbitrary-precision arithmetic
  • Verified computing — collection of techniques ensuring that numerical results have a guaranteed precision
    • Interval arithmetic — represent every number by two floating-point numbers guaranteed to have the unknown number between them
      • See also: Interval boundary element method, Interval finite element
  • Loss of significance
  • Numerical error
  • Numerical stability
  • Error propagation:
    • Propagation of uncertainty
      • List of uncertainty propagation software
    • Significance arithmetic
    • Residual (numerical analysis)
  • Relative change and difference — the relative difference between x and y is |xy| / max(|x|, |y|)
  • Significant figures
    • False precision — giving more significant figures than appropriate
  • Truncation error — error committed by doing only a finite numbers of steps
  • Well-posed problem
  • Affine arithmetic

Read more about this topic:  List Of Numerical Analysis Topics

Famous quotes containing the word error:

    Truth is one, but error proliferates. Man tracks it down and cuts it up into little pieces hoping to turn it into grains of truth. But the ultimate atom will always essentially be an error, a miscalculation.
    René Daumal (1908–1944)

    In Pride, in reas’ning Pride, our error lies;
    All quit their sphere, and rush into the skies.
    Pride still is aiming at the blest abodes,
    Men would be Angels, Angels would be Gods.
    Alexander Pope (1688–1744)

    Men have an extraordinarily erroneous opinion of their position in nature; and the error is ineradicable.
    W. Somerset Maugham (1874–1966)