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



Thiele_Automatic_Jean_cbg.sm (22 KiB) downloaded 76 time(s).



Best Regards


Carlos

Wrote

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 (26 KiB) downloaded 71 time(s).

Hello Jean,

Please review the following example that you posted.


Thiele Model Construct.sm (44 KiB) downloaded 61 time(s).


Thank you


Best Regards

Carlos

Wrote

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 (57 KiB) downloaded 59 time(s).
Thiele Transit_Convert.sm (13 KiB) downloaded 54 time(s).
Thiele Model Construct Copy.sm (37 KiB) downloaded 58 time(s).

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





Thiele_Automatic_Jean_CBG_R1.sm (69 KiB) downloaded 67 time(s).


Best Regards

Carlos

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 (36 KiB) downloaded 71 time(s).