Cubic Splines [l_p_c]

Cubic Splines [l_p_c] - Cubic Splines [l_p_c] - Сообщения

#1 Опубликовано: 12.07.2021 10:19:29
Jean Giraud

Jean Giraud

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This utility ranks Smath to Mathcad/Mathsoft.
1. 1rst & 2nd derivatives ... exact integration.
2. Bonus: Golden ratio, root_Dichotomy.
3. very accurate ∫(f,a,b,n) Romberg kernel.
Enjoy ... Jean

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#2 Опубликовано: 12.07.2021 10:37:26
Jean Giraud

Jean Giraud

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... augmented Akima.
Mathcad/Mathsoft is missing Akima ainterp(X,Y,x)
in lieu, we construct ~ Hermite cubic interpolation.

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#3 Опубликовано: 13.07.2021 11:34:28
Jean Giraud

Jean Giraud

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... this document illustrates the 3 types cubic splines:
linear, parabolic, cubic for eventual end use.
1. Assume a physical project evaluates @ points.
2. Assume this project has become a STANDARD.
3. Assume it has been populated 'cubic linear'.
4. Assume your Smath project is OK but can't be
made scalar like in [1.]
5. @ this point if you can't populate 'cubic linear'
6. Then, your project does NOT meet the STANDARD.
An example is the Mathcad ODEsolve from linear cubic.
Native Smath can't render from cinterp.
Cheers ... Jean.

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