AccuracyGoal

AccuracyGoal

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

Details

Examples

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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:

Wolfram Research (1988), AccuracyGoal, Wolfram Language function, https://reference.wolfram.com/language/ref/AccuracyGoal.html (updated 2003).

Text

Wolfram Research (1988), AccuracyGoal, Wolfram Language function, https://reference.wolfram.com/language/ref/AccuracyGoal.html (updated 2003).

BibTeX

@misc{reference.wolfram_2020_accuracygoal, author="Wolfram Research", title="{AccuracyGoal}", year="2003", howpublished="\url{https://reference.wolfram.com/language/ref/AccuracyGoal.html}", note=[Accessed: 01-March-2021 ]}

BibLaTeX

@online{reference.wolfram_2020_accuracygoal, organization={Wolfram Research}, title={AccuracyGoal}, year={2003}, url={https://reference.wolfram.com/language/ref/AccuracyGoal.html}, note=[Accessed: 01-March-2021 ]}

CMS

Wolfram Language. 1988. "AccuracyGoal." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2003. https://reference.wolfram.com/language/ref/AccuracyGoal.html.

APA

Wolfram Language. (1988). AccuracyGoal. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/AccuracyGoal.html