Timeline for answer to Is manual adjustment of AccuracyGoal and PrecisionGoal useless? by Michael E2
Current License: CC BY-SA 4.0
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| Oct 24, 2024 at 16:53 | history | edited | Michael E2 | CC BY-SA 4.0 |
Improved formatting
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| Apr 15, 2023 at 20:06 | comment | added | Davi |
This is a great answer, it solved my issue. However, I would like to point out that the FindRoot documentation (Mathematica 13.2.1) is contradictory. It states that "FindRoot continues until either of the goals specified by AccuracyGoal or PrecisionGoal is achieved.". You pointed out this is not he case. For FindRoot there are two independent conditions: even if the PrecisionGoal condition is achieved there will be an error if AccuracyGoal is too high. NDSolve, for instance, does not have this behaviour. So it seems that there is a problem in the documentation.
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| May 16, 2019 at 10:54 | comment | added | Michael E2 |
@KraZug True, my focus was on using the options to achieve some goal. The use-case where I most commonly lower the goals is in a multidimensional NIntegrate[]
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| May 16, 2019 at 5:12 | comment | added | SPPearce | Very nice answer. But one thing you sort of hint at but don't detail, is that these two options can be lowered to produce an answer faster when you only need a rough guess, for instance in FindRoot, while still using the faster machine precision. | |
| Jan 8, 2018 at 3:44 | history | edited | Michael E2 | CC BY-SA 3.0 |
Proofreading
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| Nov 16, 2017 at 11:49 | comment | added | Jojo | This was a very informative, well-written article which has cleared up a lot of my misunderstandings with these things. Thank you Michael E2. | |
| Sep 21, 2017 at 18:40 | history | edited | Michael E2 | CC BY-SA 3.0 |
Clarification, fixed grammar
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| Apr 13, 2017 at 12:56 | history | edited | CommunityBot |
replaced http://mathematica.stackexchange.com/ with https://mathematica.stackexchange.com/
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| Mar 6, 2017 at 11:09 | history | edited | Michael E2 | CC BY-SA 3.0 |
Fixed error
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| Mar 5, 2017 at 19:26 | history | answered | Michael E2 | CC BY-SA 3.0 |