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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Famous quotes containing the word error:

    Truth is the kind of error without which a certain species of life could not live. The value for life is ultimately decisive.
    Friedrich Nietzsche (1844–1900)

    Error is a supposition that pleasure and pain, that intelligence, substance, life, are existent in matter. Error is neither Mind nor one of Mind’s faculties. Error is the contradiction of Truth. Error is a belief without understanding. Error is unreal because untrue. It is that which seemeth to be and is not. If error were true, its truth would be error, and we should have a self-evident absurdity—namely, erroneous truth. Thus we should continue to lose the standard of Truth.
    Mary Baker Eddy (1821–1910)

    An error the breadth of a single hair can lead one a thousand miles astray.
    Chinese proverb.