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 Documentation / Mathematica / Built-in Functions / Numerical Computation / Options  /
AccuracyGoal

  • AccuracyGoal is an option for various numerical operations which specifies how many digits of accuracy should be sought in the final result.
  • AccuracyGoal is an option for such functions as NIntegrate, NDSolve and FindRoot.
  • AccuracyGoal -> Automatic yields an accuracy goal equal to 10 digits less than the setting for WorkingPrecision.
  • AccuracyGoal -> Infinity specifies that accuracy should not be used as the criterion for terminating the numerical procedure. PrecisionGoal is typically used in this case.
  • Even though you may specify AccuracyGoal-> n, the results you get may have much less than n-digit accuracy.
  • In most cases, you must set WorkingPrecision to be at least as large as AccuracyGoal.
  • AccuracyGoal effectively specifies the absolute error allowed in a numerical procedure.
  • With AccuracyGoal-> a and PrecisionGoal-> p Mathematica attempts to make the numerical error in a result of size be less than .
  • See the Mathematica book: Section 3.9.3.
  • See also: PrecisionGoal, WorkingPrecision.