METHOD OF INTEGRATION OF ROMBERG

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METHOD OF INTEGRATION OF ROMBERG - Integration Example by the Romberg Integration Method

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CBG		#1 Posted : 10 January 2018 02:15:33(UTC)
Rank: Advanced Member Groups: Registered Joined: 14/10/2015(UTC) Posts: 308 Was thanked: 77 time(s) in 58 post(s)		This is a small example of the application of the Romberg Integration Method Romberg_Method.sm (14kb) downloaded 44 time(s). Best Regards Carlos Edited by user 10 January 2018 03:54:20(UTC) \| Reason: Not specified

1 user thanked CBG for this useful post.		on 10/01/2018(UTC)
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Jean Giraud		#2 Posted : 10 January 2018 05:49:22(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: CBG This is a small example of the application of the Romberg Integration Method n = 20 [your original] ... Smath 6179 didn't stop in 5 minutes. Can't explain such incompatibility between versions ? Thanks


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Jean Giraud		#3 Posted : 10 January 2018 07:06:23(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		... this doctored version works 6179, but so prohibitive in computation time. n = 20 1200 sec. Romberg is like Simpson => occasionally more accurate. All in all, if I would have to chose the most useful integrator, the choice is Adaptive [from years of working that kind of maths] I lost the Mathcad code, can survive with Simpson Domain ... any kind of accuracy, for any meshing 'n'. Thanks Carlos, for your contribution. Jean Romberg_Method [Doctored 6179].sm (14kb) downloaded 21 time(s).


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CBG		#4 Posted : 10 January 2018 19:18:19(UTC)
Rank: Advanced Member Groups: Registered Joined: 14/10/2015(UTC) Posts: 308 Was thanked: 77 time(s) in 58 post(s)		By----Jean n = 20 [your original] ... Smath 6179 didn't stop in 5 minutes. Can't explain such incompatibility between versions. With n = 20 on my PC the Algorithm takes 1 min 54.473 sec. Being the same algorithm in different versions of the same program, I guess the difference in time is given by the ability of the latest software to take advantage of the power of the processor and the amount of RAM. Obviously, the power and number of cores in the processor must also influence. Regards Carlos


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