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 |x − y| / 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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