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

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    It is the very error of the moon,
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    And makes men mad.
    William Shakespeare (1564–1616)

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    You can hardly convince a man of an error in a life-time, but must content yourself with the reflection that the progress of science is slow. If he is not convinced, his grandchildren may be. The geologists tell us that it took one hundred years to prove that fossils are organic, and one hundred and fifty more to prove that they are not to be referred to the Noachian deluge.
    Henry David Thoreau (1817–1862)