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