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



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Basic Examples  (2)

Approximate a numerical integral to at least 8 digits of accuracy:

Use precision (relative error) as the basis for error control in solving an ODE:

The relative error is small:

Without specifying the AccuracyGoal, the relative error is much larger:

Scope  (2)

Find a minimum with convergence criteria and :

Use convergence criteria and :

Use convergence criteria and not possible at machine precision:

Use a higher working precision to allow convergence:

Solve a differential equation using high-precision arithmetic:

Use AccuracyGoal and PrecisionGoal at half the 32-digit working precision:

This corresponds to the automatic setting used by NDSolve:

Introduced in 1988
Updated in 2003