PrecisionGoal

PrecisionGoal

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

Details

Examples

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Basic Examples  (2)

Approximate an integral to at least 10 digits of precision:

Use accuracy (absolute error) as the basis for error control in solving an ODE:

The error is small:

Without specifying the PrecisionGoal, the error is much larger:

Scope  (2)

Find a minimum with convergence criteria and :

Try with convergence criteria and :

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 1991
 (2.0)
 |
Updated in 2003
 (5.0)