Timeline for Integrating Hamilton's equations: is there any difference between these two integration methods?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2022 at 5:30 | comment | added | Alex Trounev | @Euler_Salter I think it is more fantasy then reality about accuracy of velocity Verlet compare to regular Verlet. Also leapfrog and Verlet look same on a large system numerical solution. Nevertheless could you compare 3 algorithms on your problem and report here about accuracy compare to exact solution? | |
| Feb 23, 2022 at 20:16 | answer | added | Kyle Kanos | timeline score: 1 | |
| Feb 23, 2022 at 17:43 | comment | added | Euler_Salter | @KyleKanos the more I look at velocity-Verlet and Leapfrog the less I see the difference between them. Aren't they the same? Basically I am looking for second order, explicit sympletic integrators (possibly time reversible) and looking at the differences between them | |
| Feb 23, 2022 at 17:41 | comment | added | Euler_Salter | @AlexTrounev that's odd because on page 20 of this thesis bird.bcamath.org/handle/20.500.11824/789 they cite a few papers were apparently they show that the velocity-Verlet is numerically more accurate | |
| Feb 23, 2022 at 17:41 | comment | added | Euler_Salter | @KyleKanos yes I did forget, just edited! | |
| Feb 23, 2022 at 17:40 | history | edited | Euler_Salter | CC BY-SA 4.0 |
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| Feb 23, 2022 at 16:59 | comment | added | Alex Trounev | There is no difference in numerical solutions with leapfrog method and Verlet algorithm as it has been testified on a large system of 500-5000 equations discussed on mathematica.stackexchange.com/questions/208590/… | |
| Feb 23, 2022 at 16:53 | comment | added | Kyle Kanos | Also, it looks like you forgot to swap the p's and q's between the two methods you've written. | |
| Feb 23, 2022 at 16:52 | comment | added | Kyle Kanos | The leapfrog you've written is velocity Verlet method as far as I can tell. My experience with leapfrog is quite different (cf this post of mine). | |
| Feb 23, 2022 at 16:34 | history | asked | Euler_Salter | CC BY-SA 4.0 |