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Offline CBG  
#1 Posted : 30 April 2018 23:45:46(UTC)
CBG


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This example is an automation of the Thiele function
published by Jean in the "Utilities Pts logpts Application" sheet



Thiele_Automatic_Jean_cbg.sm (23kb) downloaded 31 time(s).



Best Regards


Carlos




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Offline Jean Giraud  
#2 Posted : 02 May 2018 01:33:59(UTC)
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Originally Posted by: CBG Go to Quoted Post
This example is an automation of the Thiele function


... refreshed a bit, a note added.
Superb, the piece of automated interpolation.
Thanks Carlos ... Jean

Thiele_Automatic_Jean_cbg.sm (27kb) downloaded 22 time(s).
Offline CBG  
#3 Posted : 03 May 2018 00:23:05(UTC)
CBG


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Hello Jean,

Please review the following example that you posted.


Thiele Model Construct.sm (45kb) downloaded 17 time(s).


Thank you


Best Regards

Carlos
Offline Jean Giraud  
#4 Posted : 03 May 2018 16:37:19(UTC)
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Originally Posted by: CBG Go to Quoted Post
Hello Jean,

Please review the following example that you posted.


Hello Carlos,

The attached document has been doctored.
The long native form is as nice to export than the reduced J_Frac.
J_Frac is more compact, but not as clear for unfamiliar user.
Thiele is capricious wrt to Maple [see the blue note].
It starts refusing if too many Maple instances have been invoked,
maybe a limited courtesy from Maplesoft ?

Please let me know if correct in your Smath system.

See you soon ... Jean

From fresh Smath session, supports the 3 documents attached.

Thiele_0 Demo.sm (58kb) downloaded 18 time(s).
Thiele Transit_Convert.sm (14kb) downloaded 17 time(s).
Thiele Model Construct Copy.sm (38kb) downloaded 18 time(s).
Offline CBG  
#5 Posted : 10 May 2018 00:39:36(UTC)
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Hello Jean

Updated version of Interpolation using the Thiele algorithm in cuntinuous fractions.

It includes the calculation of the inverse differences φ [x0, ..., xi], obtained from the values in the known points

Rounding the values of the inverse differences for the purpose of presenting the equation to make it shorter

Inverse_Differences.png

Thiele_Short.png

Thiele_Automatic_Jean_CBG_R1.sm (70kb) downloaded 18 time(s).


Best Regards

Carlos
Offline Jean Giraud  
#6 Posted : 10 May 2018 16:37:06(UTC)
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Hello Carlos,
What a delicious/educative/Engineering piece of work ... zillions thanks !
Reshaped a bit for first time readers.

Jean

Thiele_3 Automatic [on error Carlos].sm (37kb) downloaded 25 time(s).
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