This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)

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

PrecisionGoal

FilledSmallSquare PrecisionGoal is an option for various numerical operations which specifies how many effective digits of precision should be sought in the final result.

FilledSmallSquare PrecisionGoal is an option for such functions as NIntegrate and NDSolve.

FilledSmallSquare PrecisionGoal -> Automatic normally yields a precision goal equal to half the setting for WorkingPrecision.

FilledSmallSquare PrecisionGoal -> Infinity specifies that precision should not be used as the criterion for terminating the numerical procedure. AccuracyGoal is typically used in this case.

FilledSmallSquare Even though you may specify PrecisionGoal->n, the results you get may sometimes have much less than n-digit precision.

FilledSmallSquare In most cases, you must set WorkingPrecision to be at least as large as PrecisionGoal.

FilledSmallSquare PrecisionGoal effectively specifies the relative error allowed in a numerical procedure.

FilledSmallSquare With PrecisionGoal->p and AccuracyGoal->a, Mathematica attempts to make the numerical error in a result of size be less than .

FilledSmallSquare See Section 3.9.3 and Section 3.9.9.

FilledSmallSquare See also: AccuracyGoal, WorkingPrecision.

FilledSmallSquare New in Version 2; modified in 5.0.