AccuracyGoal

Usage

• AccuracyGoal is an option for various numerical operations which specifies how many effective digits of accuracy should be sought in the final result.

Notes

• AccuracyGoal is an option for such functions as NIntegrate, NDSolve and FindRoot.

• AccuracyGoal -> Automatic normally yields an accuracy goal equal to half 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 sometimes 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 Section 3.9.4 and Section 3.9.9.

• See also: PrecisionGoal, WorkingPrecision.

• New in Version 1; modified in 5.