Timeline for Which method should I use for NIntegrate near a singularity?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 28, 2020 at 12:10 | vote | accept | Pxx | ||
| Mar 26, 2020 at 19:18 | history | became hot network question | |||
| Mar 26, 2020 at 12:52 | answer | added | Akku14 | timeline score: 3 | |
| Mar 26, 2020 at 12:12 | comment | added | Alexei Boulbitch | Please have a look at my answer. | |
| Mar 26, 2020 at 12:11 | answer | added | Alexei Boulbitch | timeline score: 4 | |
| Mar 26, 2020 at 11:36 | comment | added | Pxx | @AlexeiBoulbitch Thanks for all the useful links, I will go through them now! I am not sure I understand the suggestion that you make in your second comment: when I decrease the epsilons, the integral does converge, even at $0$, but I would like it to diverge. Or what do you mean? | |
| Mar 26, 2020 at 11:27 | comment | added | Alexei Boulbitch | Continuation: according to what you write, I would first try the regularization that you have already proposed with a sequence of decreasing epsilons, and then check if this would converge. There has recently been a useful discussion on this subject here: mathematica.stackexchange.com/a/215891/4999 | |
| Mar 26, 2020 at 11:23 | comment | added | Alexei Boulbitch | It is exactly the place where science transforms into art. There is a tutorial at Menu/Help/WolframDocumentation/tutorial/NIntegrateOverview/NIntegrateIntroduction/Automatic Singularity Handling and the next section "Special Strategies". Also two next parts of the /tutorial/NIntegrateOverview: "NIntegrate Integration Strategies" and "NIntegrate Integration Rules" may be useful. There are several strategies of how to cope with the singularities in the multidimensional case. One should try them one by one. Nobody can say which one is better. | |
| Mar 26, 2020 at 11:04 | history | asked | Pxx | CC BY-SA 4.0 |