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:

Wolfram Research (1991), PrecisionGoal, Wolfram Language function, https://reference.wolfram.com/language/ref/PrecisionGoal.html (updated 2003).

Text

Wolfram Research (1991), PrecisionGoal, Wolfram Language function, https://reference.wolfram.com/language/ref/PrecisionGoal.html (updated 2003).

CMS

Wolfram Language. 1991. "PrecisionGoal." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2003. https://reference.wolfram.com/language/ref/PrecisionGoal.html.

APA

Wolfram Language. (1991). PrecisionGoal. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PrecisionGoal.html

BibTeX

@misc{reference.wolfram_2023_precisiongoal, author="Wolfram Research", title="{PrecisionGoal}", year="2003", howpublished="\url{https://reference.wolfram.com/language/ref/PrecisionGoal.html}", note=[Accessed: 19-March-2024 ]}

BibLaTeX

@online{reference.wolfram_2023_precisiongoal, organization={Wolfram Research}, title={PrecisionGoal}, year={2003}, url={https://reference.wolfram.com/language/ref/PrecisionGoal.html}, note=[Accessed: 19-March-2024 ]}