Leapfrog integration: Revision history

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curprev 22:5422:54, 6 September 2024‎ 128.220.159.211 talk‎ 8,532 bytes +196‎ reverted incorrect and vague edits 1087443488 and 1087590682. The existence of a conserved shadow Hamiltonian is general for Hamiltonian systems as can be proven straightforwardly, see, e.g., Tuckerman 2010 ch. 3 sec. 13. Added reference. undo

curprev 08:5408:54, 22 April 2024‎ 79.249.215.38 talk‎ 8,336 bytes −3‎ The referenced book describes the scheme as unstable for omega * delta t >= 2, which would translate to stability for delta t < 2 omega not, <=. undo

curprev 12:1312:13, 14 April 2024‎ Perossello talk contribs‎ m 8,339 bytes +41‎ added some text to caption undo Tag: Visual edit
curprev 12:1212:12, 14 April 2024‎ Perossello talk contribs‎ 8,298 bytes +175‎ added a gif undo Tag: Visual edit

curprev 21:2021:20, 21 October 2023‎ 89.114.75.44 talk‎ 8,123 bytes −1‎ Undid revision 1181230342 by 89.114.75.44 (talk) undo Tag: Undo
curprev 18:2718:27, 21 October 2023‎ 89.114.75.44 talk‎ 8,124 bytes +1‎ Coefficient c2 and c3 was wrong, it was (W0+W1)/2 and now it's (W1-W0)/2 as written in the paper "Construction of higher order symplectic integrators" by Yoshida. The constant value (-0.1756) was already correct undo Tags: Reverted Visual edit

curprev 05:1405:14, 2 February 2023‎ 208.83.226.9 talk‎ 8,123 bytes +10‎ Minor change: added word "different" undo

curprev 01:3301:33, 15 January 2023‎ Comfr talk contribs‎ m 8,113 bytes +39‎ +link undo

curprev 01:0201:02, 1 January 2023‎ Bender235 talk contribs‎ m 8,074 bytes +35‎ →‎Yoshida algorithms undo

curprev 05:3505:35, 17 June 2022‎ 84.198.205.246 talk‎ 8,039 bytes −5‎ →‎Algorithm: The standard form discussed previously works for non constant time step undo

curprev 17:1417:14, 13 June 2022‎ Citation bot talk contribs‎ 8,044 bytes +40‎ Add: title. Changed bare reference to CS1/2. | Use this bot. Report bugs. | Suggested by BrownHairedGirl | #UCB_webform 2019/3820 undo

curprev 10:5510:55, 13 May 2022‎ BossePW talk contribs‎ m 8,004 bytes +20‎ Stressed that the existence of a modified conserved energy only is true for certain special systems. undo

curprev 13:4713:47, 12 May 2022‎ 131.111.5.25 talk‎ 7,984 bytes +39‎ Corrected false statement of (modified) energy conservation undo

curprev 02:4702:47, 14 April 2022‎ Hellacioussatyr talk contribs‎ 7,945 bytes +55‎ No edit summary undo Tags: Mobile edit Mobile web edit Advanced mobile edit

curprev 19:4919:49, 29 January 2022‎ 1234qwer1234qwer4 talk contribs‎ 7,890 bytes 0‎ Changing short description from "mathematics concept" to "Mathematics concept" (Shortdesc helper) undo

curprev 22:5122:51, 10 June 2021‎ Hellacioussatyr talk contribs‎ 7,890 bytes +79‎ →‎4th order Yoshida integrator undo Tags: Mobile edit Mobile web edit Advanced mobile edit

curprev 18:5718:57, 2 June 2021‎ Magyar25 talk contribs‎ 7,811 bytes +9‎ →‎References: Format Yoshida reference undo Tag: Visual edit

curprev 03:2403:24, 19 April 2021‎ Revirvlkodlaku talk contribs‎ 7,802 bytes +43‎ →‎Leapfrog integration undo Tags: Mobile edit Mobile app edit Android app edit

curprev 19:2319:23, 23 January 2021‎ 72.79.64.7 talk‎ 7,759 bytes −82‎ Undid revision 1002295429 by 72.79.64.7 (talk) undo Tag: Undo
curprev 19:2119:21, 23 January 2021‎ 72.79.64.7 talk‎ 7,841 bytes +82‎ →‎Algorithm undo Tag: Reverted

curprev 21:4421:44, 6 April 2020‎ 88.97.106.232 talk‎ 7,759 bytes 0‎ Fixed hyperlink undo

curprev 11:4411:44, 10 September 2019‎ MathXYZ talk contribs‎ 7,759 bytes +2‎ →‎Algorithm: Added links undo Tags: Mobile edit Mobile app edit Android app edit

curprev 09:2309:23, 5 July 2019‎ 147.250.2.2 talk‎ 7,757 bytes −5‎ →‎4th order Yoshida integrator: there was a d_4 in the list of coefficients, but there is only (d_1, d_2, d_3) undo

curprev 14:3914:39, 24 April 2019‎ 192.16.204.70 talk‎ 7,762 bytes +4‎ Minor typos. undo Tag: Visual edit

curprev 12:4312:43, 17 March 2019‎ 84.72.98.35 talk‎ 7,758 bytes −1‎ →‎Yoshida algorithms: fixed typo undo

curprev 16:2416:24, 12 February 2019‎ J824h talk contribs‎ 7,759 bytes +30‎ Fixed the typo in the first description of the leapfrog integration. Fixed dash in Runge–Kutta. undo Tag: Visual edit

curprev 00:4300:43, 11 February 2019‎ Jhla5146 talk contribs‎ 7,729 bytes +1,972‎ Added info about 4th order Yoshida integrator undo

curprev 10:1010:10, 8 February 2019‎ 14.139.128.23 talk‎ 5,757 bytes 0‎ →‎Algorithm undo

curprev 05:5705:57, 12 November 2018‎ 155.69.149.114 talk‎ 5,757 bytes +12‎ →‎See also undo

curprev 22:3822:38, 31 October 2018‎ MaxEnt talk contribs‎ 5,745 bytes +58‎ also provide narrow target in lead sentence undo
curprev 22:3122:31, 31 October 2018‎ MaxEnt talk contribs‎ 5,687 bytes +8‎ change scope to numerical analysis undo

curprev 15:4215:42, 29 July 2018‎ Denniscabrams talk contribs‎ 5,679 bytes +4‎ →‎top undo

curprev 10:2610:26, 16 February 2017‎ Macrauha talk contribs‎ m 4,876 bytes −11‎ External link broken, now fixed undo

curprev 13:3013:30, 12 January 2017‎ 82.37.67.189 talk‎ 4,887 bytes +597‎ Added kick-drift-kick form of leapfrog equation and the situations it is used in undo

curprev 13:2613:26, 3 June 2016‎ 2001:4ca0:0:f252:b99f:5555:f4d0:b0f5 talk‎ 4,290 bytes −122‎ removed error undo

curprev 09:5709:57, 19 April 2016‎ Mikhail Ryazanov talk contribs‎ m 4,412 bytes −52‎ →‎top: fmt., punct. undo

curprev 22:3222:32, 17 January 2015‎ Olawlor talk contribs‎ 4,464 bytes +28‎ Add Leibniz derivative notation, in addition to Newton's dot notation, so the dependence on time is explicit. undo

curprev 09:0609:06, 16 January 2015‎ Olawlor talk contribs‎ 4,436 bytes −185‎ Removed potential energy conservative form, which was never used and is irrelevant to the description of integration. undo

curprev 12:1112:11, 9 December 2014‎ 80.222.156.236 talk‎ 4,621 bytes +30‎ Added clarification for the note that acceleration depends only on the positions of the accelerating masses (as opposed to positions *and velocities*). undo

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